max_angle=3

script.py

@@ -11,7 +11,7 @@
 
 '''---compulsory---'''
 # import subprocess
-# from pathlib import Path         
+# from pathlib import Path
 # def install_package_from_local_file(package_name, folder='packages'):
 #     """
 #     Installs a package from a local .whl file or a directory containing .whl files using pip.
@@ -21,7 +21,7 @@
 #     """
 #     try:
 #         pth = str(Path(folder) / package_name)
-#         subprocess.check_call([subprocess.sys.executable, "-m", "pip", "install", 
+#         subprocess.check_call([subprocess.sys.executable, "-m", "pip", "install",
 #                                "--no-index",  # Do not use package index
 #                                "--find-links", pth,  # Look for packages in the specified directory or at the file
 #                                package_name])  # Specify the package to install
@@ -127,7 +127,7 @@ if __name__ == "__main__":
     with ProcessPoolExecutor(max_workers=8) as pool:
         results = []
         for i, sample in enumerate(tqdm(dataset)):
-            results.append(pool.submit(predict, sample, visualize=False, point_radius=25, max_angle=9, extend=30))
+            results.append(pool.submit(predict, sample, visualize=False, point_radius=25, max_angle=3, extend=30))
         
         for i, result in enumerate(tqdm(results)):
             key, pred_vertices, pred_edges = result.result()

test_solution.ipynb

@@ -6,8 +6,8 @@
    "metadata": {
     "collapsed": true,
     "ExecuteTime": {
-     "end_time": "2024-05-26T22:07:45.105095Z",
-     "start_time": "2024-05-26T22:07:41.837035Z"
+     "end_time": "2024-05-27T20:59:20.556391Z",
+     "start_time": "2024-05-27T20:59:13.428959Z"
     }
    },
    "source": [
@@ -14201,31 +14201,670 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-05-27T05:43:39.117697Z",
-     "start_time": "2024-05-27T05:43:39.114694Z"
+     "end_time": "2024-05-27T07:34:11.948907Z",
+     "start_time": "2024-05-27T07:34:11.943280Z"
+    }
+   },
+   "cell_type": "code",
+   "source": "len(wed_stats)",
+   "id": "9b75523b47a950da",
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "288"
+      ]
+     },
+     "execution_count": 34,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "execution_count": 34
+  },
+  {
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2024-05-27T21:00:34.696827Z",
+     "start_time": "2024-05-27T21:00:34.693311Z"
     }
    },
    "cell_type": "code",
    "source": "import pickle",
    "id": "2a63560b980ed175",
    "outputs": [],
-   "execution_count": 12
+   "execution_count": 3
   },
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2024-05-27T05:44:56.021225Z",
-     "start_time": "2024-05-27T05:44:56.012412Z"
+     "end_time": "2024-05-27T07:35:34.525747Z",
+     "start_time": "2024-05-27T07:35:34.516556Z"
     }
    },
    "cell_type": "code",
    "source": [
-    "with open(\"27-03-24_08:41_gridsearch.pkl\", \"wb\") as f:\n",
+    "with open(\"27-03-24_08_41_gridsearch.pkl\", \"wb\") as f:\n",
     "    pickle.dump(wed_stats, f)"
    ],
    "id": "a0c0d1247345ce8f",
    "outputs": [],
-   "execution_count": 16
+   "execution_count": 37
+  },
+  {
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2024-05-27T21:00:37.543885Z",
+     "start_time": "2024-05-27T21:00:36.891049Z"
+    }
+   },
+   "cell_type": "code",
+   "source": [
+    "with open(\"27-03-24_08_41_gridsearch.pkl\", \"rb\") as f:\n",
+    "    wed_stats= pickle.load(f)"
+   ],
+   "id": "2b1bf6b71366261",
+   "outputs": [],
+   "execution_count": 4
+  },
+  {
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2024-05-27T21:01:35.844300Z",
+     "start_time": "2024-05-27T21:01:35.821404Z"
+    }
+   },
+   "cell_type": "code",
+   "source": "sorted(wed_stats.items(), key=lambda x: x[1].mean)",
+   "id": "ef3a11e047073f63",
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[((25, 9, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3076459810782375, 3.6427458988029624), mean=2.365431389151285, variance=0.24408016546768208, skewness=0.24970843688533947, kurtosis=-0.47489943956804215)),\n",
+       " ((25, 3, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3277926313096529, 3.5793431626907006), mean=2.365799431760512, variance=0.2283485251258321, skewness=0.14581362181613933, kurtosis=-0.4966945138162737)),\n",
+       " ((25, 8, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7489880220512433), mean=2.3666799964968566, variance=0.23256287638977155, skewness=0.2351978824288662, kurtosis=-0.34650790205426807)),\n",
+       " ((25, 4, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3277926313096529, 3.5559859764406214), mean=2.367685477902936, variance=0.22928262970110813, skewness=0.1234810295855286, kurtosis=-0.6546653426007194)),\n",
+       " ((35, 2, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3880417275094599, 3.7195088150342186), mean=2.3681322155779267, variance=0.2347349275743601, skewness=0.2734479351216136, kurtosis=-0.38666271102839156)),\n",
+       " ((25, 9, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3911588477979093, 3.7489880220512433), mean=2.368605800644157, variance=0.2294246885522206, skewness=0.27285275332363895, kurtosis=-0.39286936432663166)),\n",
+       " ((25, 5, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3277926313096529, 3.6427458988029624), mean=2.369952540791647, variance=0.23642155447313948, skewness=0.15339830751247546, kurtosis=-0.6673466083790669)),\n",
+       " ((25, 7, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7489880220512433), mean=2.3704425282816417, variance=0.23182957468994056, skewness=0.22228340584379075, kurtosis=-0.3626070143296296)),\n",
+       " ((25, 8, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3277926313096529, 3.6427458988029624), mean=2.371012587748782, variance=0.2450203543725082, skewness=0.2469304978724812, kurtosis=-0.4951650893264814)),\n",
+       " ((30, 6, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7017431454671503), mean=2.3716579318006623, variance=0.2422788765943085, skewness=0.20670554315360368, kurtosis=-0.5289317019408943)),\n",
+       " ((30, 7, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7017431454671503), mean=2.3716701561009708, variance=0.24731604266709206, skewness=0.22941321516711177, kurtosis=-0.5283369198285905)),\n",
+       " ((30, 8, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3911588477979093, 3.7017431454671503), mean=2.372573018808825, variance=0.248495576144028, skewness=0.26669420512826, kurtosis=-0.5578124932452173)),\n",
+       " ((45, 2, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3880417275094599, 3.5793431626907006), mean=2.373057696488171, variance=0.227657062156513, skewness=0.3100663573759112, kurtosis=-0.4733080035750321)),\n",
+       " ((25, 7, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3277926313096529, 3.6427458988029624), mean=2.373490069485539, variance=0.24398496452787613, skewness=0.2351830610301328, kurtosis=-0.5279495534648584)),\n",
+       " ((30, 2, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2687938019168812, 3.5793431626907006), mean=2.3740534257011907, variance=0.2220012467665858, skewness=0.23492208208246168, kurtosis=-0.40217807803242067)),\n",
+       " ((40, 2, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3880417275094599, 3.5793431626907006), mean=2.374294140016307, variance=0.23088831111757532, skewness=0.28134191057856595, kurtosis=-0.45529187922921555)),\n",
+       " ((45, 1, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1616185507986427, 3.7195088150342186), mean=2.3744571686507063, variance=0.2355163304370561, skewness=0.0878789749320027, kurtosis=-0.1818687679043296)),\n",
+       " ((25, 2, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2687938019168812, 3.5793431626907006), mean=2.3744699364369355, variance=0.2149962896981116, skewness=0.22963219434874785, kurtosis=-0.39122511587047537)),\n",
+       " ((35, 2, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3880417275094599, 3.5793431626907006), mean=2.3748694433759123, variance=0.22888427449653234, skewness=0.28036566784897027, kurtosis=-0.5267513800129584)),\n",
+       " ((35, 3, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7195088150342186), mean=2.375368586764985, variance=0.23069279313015867, skewness=0.20332670930357677, kurtosis=-0.4795555488120784)),\n",
+       " ((25, 6, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7489880220512433), mean=2.375564585578571, variance=0.23205540022105775, skewness=0.191174590767773, kurtosis=-0.39762545239110425)),\n",
+       " ((25, 6, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3277926313096529, 3.6427458988029624), mean=2.3758489971585637, variance=0.24544595203606948, skewness=0.20399683624555676, kurtosis=-0.6183066207894132)),\n",
+       " ((20, 7, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2552570270665462, 3.496787964451057), mean=2.376325762160446, variance=0.2060657302187169, skewness=0.01250070338034022, kurtosis=-0.34430512545245584)),\n",
+       " ((35, 3, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7655032774739143), mean=2.376378529726554, variance=0.2327546566086452, skewness=0.27519000763349377, kurtosis=-0.31771745086975933)),\n",
+       " ((45, 2, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3880417275094599, 3.7195088150342186), mean=2.3766409284369105, variance=0.2295085075667106, skewness=0.24134106021315538, kurtosis=-0.37408846477628144)),\n",
+       " ((30, 9, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3911588477979093, 3.7017431454671503), mean=2.377108364289762, variance=0.24495071976894514, skewness=0.3024991123083083, kurtosis=-0.5537863211020939)),\n",
+       " ((20, 9, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.276159459798673, 3.496787964451057), mean=2.377521039722907, variance=0.20392050998976574, skewness=0.04554219008201783, kurtosis=-0.4196129929250443)),\n",
+       " ((35, 1, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1616185507986427, 3.7195088150342186), mean=2.3776617261354445, variance=0.23247429066020053, skewness=0.10806676086801285, kurtosis=-0.16554652753591004)),\n",
+       " ((45, 1, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.196035841536656, 3.7635929866868563), mean=2.378327126176745, variance=0.23824530454742882, skewness=0.19566459356086427, kurtosis=-0.1111469729646477)),\n",
+       " ((20, 8, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.276159459798673, 3.496787964451057), mean=2.378366762261831, variance=0.202805898739558, skewness=0.044863602165060454, kurtosis=-0.40796058479310604)),\n",
+       " ((30, 2, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3880417275094599, 3.637570667436926), mean=2.3786084222442034, variance=0.22573612749333788, skewness=0.288059435082738, kurtosis=-0.40815147247155315)),\n",
+       " ((20, 3, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3277926313096529, 3.6261780809782476), mean=2.3788947741669393, variance=0.2264973495722334, skewness=0.09025408327789222, kurtosis=-0.42256332202067437)),\n",
+       " ((25, 2, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3187205857224815, 3.7195088150342186), mean=2.3789786957469414, variance=0.23032806261527008, skewness=0.20786286650802807, kurtosis=-0.25287251641055786)),\n",
+       " ((30, 5, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7017431454671503), mean=2.3790364690020165, variance=0.23647421694312673, skewness=0.22090866080940696, kurtosis=-0.514964156012657)),\n",
+       " ((45, 1, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.196035841536656, 3.7635929866868563), mean=2.3792466167629636, variance=0.2422172698332015, skewness=0.18995496774253304, kurtosis=-0.12741963477250806)),\n",
+       " ((40, 2, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3880417275094599, 3.5721712499597116), mean=2.3793735172074504, variance=0.23659306029041108, skewness=0.2553454827884794, kurtosis=-0.4934855282228545)),\n",
+       " ((25, 4, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.6617761017497807), mean=2.3795244890339258, variance=0.2267076428562555, skewness=0.18073800339766158, kurtosis=-0.46599314212218124)),\n",
+       " ((25, 3, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7195088150342186), mean=2.3796113176549283, variance=0.2313326274790801, skewness=0.18020655451793677, kurtosis=-0.3976050568640255)),\n",
+       " ((20, 6, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2552570270665462, 3.496787964451057), mean=2.3800291337752557, variance=0.21008321180837491, skewness=-0.014567494878515918, kurtosis=-0.38431393219096144)),\n",
+       " ((30, 9, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3262757602011017, 3.7689006556014593), mean=2.3808467678446803, variance=0.25066438236687766, skewness=0.2895430956226167, kurtosis=-0.47877754061451405)),\n",
+       " ((25, 5, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7489880220512433), mean=2.3813709841735355, variance=0.23045884130101402, skewness=0.23712341428131212, kurtosis=-0.40079076893774035)),\n",
+       " ((20, 5, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2552570270665462, 3.496787964451057), mean=2.3814874348247117, variance=0.21826226065443943, skewness=-0.031130696417601945, kurtosis=-0.3603365136513217)),\n",
+       " ((30, 7, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3262757602011017, 3.7689006556014593), mean=2.381611757332351, variance=0.2506468837033553, skewness=0.26675328203354126, kurtosis=-0.402185686093512)),\n",
+       " ((40, 1, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.196035841536656, 3.7195088150342186), mean=2.3819968370307967, variance=0.23273599874155798, skewness=0.14303336257018318, kurtosis=-0.13731717359344797)),\n",
+       " ((40, 3, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.5793431626907006), mean=2.38261739715201, variance=0.23783393755543428, skewness=0.1711163972917373, kurtosis=-0.6522259873531335)),\n",
+       " ((35, 6, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7489880220512433), mean=2.382804047460243, variance=0.22894779192643214, skewness=0.2291410779208234, kurtosis=-0.41091063392043337)),\n",
+       " ((30, 3, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.637570667436926), mean=2.3829987003334803, variance=0.2311443756171956, skewness=0.14685703983398077, kurtosis=-0.5259863508655851)),\n",
+       " ((20, 4, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3277926313096529, 3.6261780809782476), mean=2.383163900730137, variance=0.2199302363476837, skewness=0.13714925299665656, kurtosis=-0.47939364685394814)),\n",
+       " ((30, 4, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.617632303538528), mean=2.383797434796488, variance=0.23380033902387592, skewness=0.18900269218480067, kurtosis=-0.5808358084581036)),\n",
+       " ((40, 6, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.845491352295706), mean=2.3839623101258454, variance=0.23607791753616203, skewness=0.22002487618359687, kurtosis=-0.37320922175372795)),\n",
+       " ((35, 4, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7655032774739143), mean=2.3842603364378356, variance=0.22992856792091504, skewness=0.3132728720903736, kurtosis=-0.28223856418657345)),\n",
+       " ((40, 1, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.196035841536656, 3.7635929866868563), mean=2.3843476299533783, variance=0.23531452343703144, skewness=0.20823115450386134, kurtosis=-0.08506840332276866)),\n",
+       " ((30, 8, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3262757602011017, 3.7689006556014593), mean=2.3846008662163936, variance=0.2547504201897208, skewness=0.29648509192680983, kurtosis=-0.4623848643623356)),\n",
+       " ((30, 3, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.6261780809782476), mean=2.384897415418424, variance=0.22637196926022032, skewness=0.19173071548573675, kurtosis=-0.43595503689616644)),\n",
+       " ((30, 6, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2885549028222312, 3.576250985624627), mean=2.3850795520255197, variance=0.24493882723561317, skewness=0.2203755344910728, kurtosis=-0.4931265530057929)),\n",
+       " ((45, 3, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7655032774739143), mean=2.38523972688129, variance=0.23853526447287604, skewness=0.27479949313624624, kurtosis=-0.37936201651186785)),\n",
+       " ((45, 3, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.658925758785262), mean=2.385371374710671, variance=0.23433663582029468, skewness=0.14176451720155842, kurtosis=-0.5927851397233956)),\n",
+       " ((35, 2, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2687938019168812, 3.6212506595263343), mean=2.3854325367926594, variance=0.23457032730509317, skewness=0.2604446162510226, kurtosis=-0.3349483534626043)),\n",
+       " ((30, 5, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2885549028222312, 3.7717977793967843), mean=2.385768838953655, variance=0.25181681694295693, skewness=0.28409827803721455, kurtosis=-0.3134374893329581)),\n",
+       " ((40, 3, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.7195088150342186), mean=2.385897158360537, variance=0.23011231408637273, skewness=0.189040499666452, kurtosis=-0.42683198131482225)),\n",
+       " ((30, 3, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.562558606945364), mean=2.3860009450938464, variance=0.23103302426248906, skewness=0.11204332345204361, kurtosis=-0.5490414886033808)),\n",
+       " ((30, 1, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1616185507986427, 3.7195088150342186), mean=2.3861556873839587, variance=0.22842621158531876, skewness=0.1290414047412115, kurtosis=-0.07336495164965884)),\n",
+       " ((40, 7, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.845491352295706), mean=2.386188689872926, variance=0.23893696990231386, skewness=0.2967800859202916, kurtosis=-0.28282915584685053)),\n",
+       " ((35, 4, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.6617761017497807), mean=2.3862119885427275, variance=0.22383472123068804, skewness=0.20644346651108006, kurtosis=-0.48916590957336537)),\n",
+       " ((45, 2, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3880417275094599, 3.6212506595263343), mean=2.38632458240834, variance=0.23813819810123346, skewness=0.29652378295341514, kurtosis=-0.3672361799208925)),\n",
+       " ((40, 1, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.196035841536656, 3.7195088150342186), mean=2.3863502776797856, variance=0.22824894724073475, skewness=0.10516468851421981, kurtosis=-0.2594414493181243)),\n",
+       " ((20, 4, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2552570270665462, 3.496787964451057), mean=2.386627232078584, variance=0.22454729567294118, skewness=-0.07781410951642269, kurtosis=-0.3910997560468208)),\n",
+       " ((35, 7, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3262757602011017, 3.7689006556014593), mean=2.38699418676085, variance=0.2577835077161205, skewness=0.2766783845585309, kurtosis=-0.29476357152580457)),\n",
+       " ((35, 5, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7489880220512433), mean=2.3872945246573107, variance=0.2244550722608443, skewness=0.250064567983947, kurtosis=-0.38361445269250094)),\n",
+       " ((30, 6, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.714742906872058), mean=2.3879080309744856, variance=0.22786302055822993, skewness=0.23902741677955017, kurtosis=-0.4056748763379603)),\n",
+       " ((40, 2, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1849286366873704, 3.6212506595263343), mean=2.3880867134387906, variance=0.23677233140443266, skewness=0.2746348945969141, kurtosis=-0.21305949285139691)),\n",
+       " ((45, 2, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1849286366873704, 3.6212506595263343), mean=2.388144182780888, variance=0.24112210638197287, skewness=0.23756936364283102, kurtosis=-0.2909234719207676)),\n",
+       " ((40, 2, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.7195088150342186), mean=2.388169259178502, variance=0.2272718361825683, skewness=0.14745033955498554, kurtosis=-0.3275151957127749)),\n",
+       " ((35, 9, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3911588477979093, 3.7489880220512433), mean=2.3883592992402862, variance=0.23027758760347003, skewness=0.296765878163557, kurtosis=-0.34861854619750154)),\n",
+       " ((40, 4, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.5559859764406214), mean=2.3886814716207545, variance=0.23275117890602048, skewness=0.22684340335139833, kurtosis=-0.5936785076680828)),\n",
+       " ((40, 5, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.6427458988029624), mean=2.3888673754435845, variance=0.23588824039933945, skewness=0.2881021402644574, kurtosis=-0.43324356622430704)),\n",
+       " ((35, 5, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2885549028222312, 3.7717977793967843), mean=2.3889835348948454, variance=0.2569148258105363, skewness=0.2728444039629951, kurtosis=-0.22732955648449993)),\n",
+       " ((30, 7, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.714742906872058), mean=2.389402864252692, variance=0.2320812051198164, skewness=0.3130484267618166, kurtosis=-0.32815775713868645)),\n",
+       " ((20, 7, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3277926313096529, 3.6261780809782476), mean=2.3895829009651486, variance=0.22363397726813797, skewness=0.20584534226522705, kurtosis=-0.4096143639898431)),\n",
+       " ((40, 6, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.6427458988029624), mean=2.3895841432380847, variance=0.24536500899154293, skewness=0.2599897242497131, kurtosis=-0.5167545964253102)),\n",
+       " ((20, 9, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3277926313096529, 3.6261780809782476), mean=2.3897760002726582, variance=0.2225776378698793, skewness=0.18575382982618197, kurtosis=-0.40539773457991934)),\n",
+       " ((30, 8, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.714742906872058), mean=2.389938416093227, variance=0.2285287200579085, skewness=0.33902253204824595, kurtosis=-0.32922349087198244)),\n",
+       " ((30, 9, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.714742906872058), mean=2.389975063842067, variance=0.22608397671643873, skewness=0.35686742328669135, kurtosis=-0.2997528177957811)),\n",
+       " ((45, 4, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.6046958484870792), mean=2.390131984426462, variance=0.23610747813350952, skewness=0.22710720795114606, kurtosis=-0.5667969121056742)),\n",
+       " ((30, 2, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.6261780809782476), mean=2.3902302733627527, variance=0.2306056632981275, skewness=0.13261356954170908, kurtosis=-0.27069709723457525)),\n",
+       " ((35, 6, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2885549028222312, 3.6212506595263343), mean=2.3904977600986737, variance=0.2507129621263109, skewness=0.21630205116480614, kurtosis=-0.3522875594025541)),\n",
+       " ((35, 1, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.196035841536656, 3.7195088150342186), mean=2.3906148388612825, variance=0.23612292896679513, skewness=0.06810877547812552, kurtosis=-0.30725869635176695)),\n",
+       " ((35, 8, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3911588477979093, 3.7489880220512433), mean=2.3908782343737354, variance=0.23036013923586704, skewness=0.28462534178743354, kurtosis=-0.38709455161808304)),\n",
+       " ((45, 4, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7655032774739143), mean=2.3914062869519253, variance=0.2393996096447048, skewness=0.3202604593262514, kurtosis=-0.2876938695682867)),\n",
+       " ((20, 8, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3277926313096529, 3.6261780809782476), mean=2.391465728756091, variance=0.22394370233911176, skewness=0.1902320233296623, kurtosis=-0.41359222542326357)),\n",
+       " ((35, 7, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7489880220512433), mean=2.3917090310591567, variance=0.23053829906762635, skewness=0.2568710565884056, kurtosis=-0.36570028673332855)),\n",
+       " ((30, 4, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.5455110669933947), mean=2.3917898129538484, variance=0.24078771833868412, skewness=0.19864827152416367, kurtosis=-0.5474088816866427)),\n",
+       " ((40, 4, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.7195088150342186), mean=2.3919928188754604, variance=0.23184626352990195, skewness=0.16634687967225528, kurtosis=-0.4035931059127029)),\n",
+       " ((35, 9, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3449456589241753, 3.7689006556014593), mean=2.3920055363342487, variance=0.25763993287424103, skewness=0.30817427852592283, kurtosis=-0.3347297549631598)),\n",
+       " ((20, 3, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2552570270665462, 3.496787964451057), mean=2.392065057934599, variance=0.23365257607206494, skewness=-0.04666906316083106, kurtosis=-0.474086583223138)),\n",
+       " ((20, 5, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3277926313096529, 3.6261780809782476), mean=2.3922155425953786, variance=0.22032420003471148, skewness=0.14340784428616138, kurtosis=-0.5120992116516523)),\n",
+       " ((35, 5, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7717977793967843), mean=2.3922777542401183, variance=0.23879292523118395, skewness=0.32127679699013006, kurtosis=-0.2637818045632927)),\n",
+       " ((20, 6, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3277926313096529, 3.6261780809782476), mean=2.392327612986733, variance=0.22581619892859958, skewness=0.19485470098090532, kurtosis=-0.4507202547441471)),\n",
+       " ((45, 1, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.196035841536656, 3.7195088150342186), mean=2.3924854857851394, variance=0.23275307803748638, skewness=0.07500074075038048, kurtosis=-0.2935617253280385)),\n",
+       " ((35, 8, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3262757602011017, 3.7689006556014593), mean=2.39275698546612, variance=0.257313874546351, skewness=0.2951195589126923, kurtosis=-0.32469376243371917)),\n",
+       " ((40, 8, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.845491352295706), mean=2.3930129707845498, variance=0.23215066111872443, skewness=0.2989655069270995, kurtosis=-0.2817878628513344)),\n",
+       " ((35, 6, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.576250985624627), mean=2.3937824872694407, variance=0.2376169204304254, skewness=0.26069901598295314, kurtosis=-0.40435481472120305)),\n",
+       " ((30, 5, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.714742906872058), mean=2.3941387003152848, variance=0.23003758231830418, skewness=0.21058066331754136, kurtosis=-0.379609944610138)),\n",
+       " ((40, 7, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.6427458988029624), mean=2.3944423590294193, variance=0.2465065536857468, skewness=0.2721538250896667, kurtosis=-0.4792545836240327)),\n",
+       " ((35, 1, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.196035841536656, 3.7635929866868563), mean=2.3945732197549288, variance=0.23483766651871996, skewness=0.16196716664718905, kurtosis=-0.10484682014817315)),\n",
+       " ((35, 7, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7689006556014593), mean=2.394708380809293, variance=0.24331914134325108, skewness=0.3104609785236659, kurtosis=-0.34468360619940963)),\n",
+       " ((40, 5, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.845491352295706), mean=2.3948665465964374, variance=0.23229474512206372, skewness=0.1883658604164852, kurtosis=-0.3117502418808762)),\n",
+       " ((20, 2, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.270472247990643, 3.6261780809782476), mean=2.395570462065189, variance=0.22346972511382623, skewness=0.11329897943777814, kurtosis=-0.3234502459445663)),\n",
+       " ((40, 9, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.845491352295706), mean=2.3957542543079233, variance=0.23310121388075183, skewness=0.30095341959348654, kurtosis=-0.2942558792821828)),\n",
+       " ((45, 5, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.6967857019419847), mean=2.396039294508347, variance=0.23706545805278192, skewness=0.2683386111757052, kurtosis=-0.43250740115100994)),\n",
+       " ((25, 7, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.6261780809782476), mean=2.396406456777108, variance=0.21087635212900227, skewness=0.3024016257197271, kurtosis=-0.40876460192220465)),\n",
+       " ((35, 6, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.714742906872058), mean=2.397308803810493, variance=0.21627613395654613, skewness=0.3096471084250271, kurtosis=-0.41018903098186943)),\n",
+       " ((30, 1, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.196035841536656, 3.7195088150342186), mean=2.3975186504066417, variance=0.22094968513618016, skewness=0.07480434328399128, kurtosis=-0.16335538209499267)),\n",
+       " ((35, 9, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3981383478421074, 3.7689006556014593), mean=2.3975590366723187, variance=0.24904851847767226, skewness=0.3568965017957376, kurtosis=-0.4302411959545829)),\n",
+       " ((35, 3, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7655032774739143), mean=2.3976350502222, variance=0.23944715281813153, skewness=0.17912464319890165, kurtosis=-0.2781964142653237)),\n",
+       " ((40, 4, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7655032774739143), mean=2.3976595418096966, variance=0.23818181554736112, skewness=0.2784549893503289, kurtosis=-0.3637520804075818)),\n",
+       " ((40, 3, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7655032774739143), mean=2.3978819990437974, variance=0.23997789669492398, skewness=0.24892265230252733, kurtosis=-0.4017673562738979)),\n",
+       " ((30, 4, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2367128896999586, 3.6261780809782476), mean=2.397930773143809, variance=0.22641718268691954, skewness=0.17481864720402482, kurtosis=-0.4152277535960023)),\n",
+       " ((45, 5, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7717977793967843), mean=2.3985213041603988, variance=0.24132064938614203, skewness=0.32115251612013973, kurtosis=-0.17855020892334617)),\n",
+       " ((25, 9, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.4985825938516006, 3.6261780809782476), mean=2.398615207826399, variance=0.20887753685860447, skewness=0.3187548013407416, kurtosis=-0.4229798846403865)),\n",
+       " ((35, 8, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3981383478421074, 3.7689006556014593), mean=2.3986405901311167, variance=0.24608385998671142, skewness=0.3549449464418198, kurtosis=-0.4001901870073876)),\n",
+       " ((45, 6, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.6967857019419847), mean=2.3993612139561167, variance=0.24377787252097266, skewness=0.22483344276706962, kurtosis=-0.4970600005238177)),\n",
+       " ((25, 6, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.6261780809782476), mean=2.3997149663071773, variance=0.21211940441425559, skewness=0.3057379221458508, kurtosis=-0.4542345695303873)),\n",
+       " ((35, 4, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7655032774739143), mean=2.400215914906969, variance=0.2465940458980044, skewness=0.24000447703882694, kurtosis=-0.2886091250801641)),\n",
+       " ((35, 7, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.714742906872058), mean=2.401718522915244, variance=0.21725510948778534, skewness=0.32112902558791273, kurtosis=-0.397168495428879)),\n",
+       " ((25, 8, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.4985825938516006, 3.6261780809782476), mean=2.401775050693766, variance=0.21072810372063794, skewness=0.29902784407963034, kurtosis=-0.4643048528579099)),\n",
+       " ((35, 9, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.4587772202865898, 3.714742906872058), mean=2.402065366133696, variance=0.21630799827125896, skewness=0.3496875784127574, kurtosis=-0.38042501490776415)),\n",
+       " ((40, 5, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7717977793967843), mean=2.402673983236185, variance=0.2481837073735338, skewness=0.30838627997579465, kurtosis=-0.244559942461954)),\n",
+       " ((40, 8, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3911588477979093, 3.6427458988029624), mean=2.403858377352788, variance=0.24749869146926223, skewness=0.3140850115861441, kurtosis=-0.528785556311719)),\n",
+       " ((40, 9, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3911588477979093, 3.6427458988029624), mean=2.403932248288499, variance=0.2487742084683387, skewness=0.3381611420772938, kurtosis=-0.5165431694838332)),\n",
+       " ((45, 6, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.6344813683062345), mean=2.405068165571497, variance=0.24646178290038326, skewness=0.2875176572527761, kurtosis=-0.34540566014415486)),\n",
+       " ((45, 7, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.6967857019419847), mean=2.4051959917035837, variance=0.2450394814984553, skewness=0.23972419985337953, kurtosis=-0.4682877238864682)),\n",
+       " ((35, 3, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.6261780809782476), mean=2.405989752988432, variance=0.212938956410703, skewness=0.24447258131202554, kurtosis=-0.5271312715451346)),\n",
+       " ((45, 7, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3268220109662052, 3.7689006556014593), mean=2.406087392078327, variance=0.2580389356909127, skewness=0.29136942528153364, kurtosis=-0.29872794085361143)),\n",
+       " ((35, 5, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.714742906872058), mean=2.406311167879119, variance=0.20781769633334632, skewness=0.2642635361018867, kurtosis=-0.3980318498632758)),\n",
+       " ((35, 8, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.4587772202865898, 3.714742906872058), mean=2.4064772123154166, variance=0.21721735273717763, skewness=0.3199872090051091, kurtosis=-0.41302195380383466)),\n",
+       " ((40, 7, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3268220109662052, 3.7689006556014593), mean=2.406839724428981, variance=0.2603261771691146, skewness=0.3032186102576703, kurtosis=-0.3173295824803919)),\n",
+       " ((40, 3, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.184431415694061, 3.7655032774739143), mean=2.407634797501566, variance=0.24371594638017943, skewness=0.2557220507793175, kurtosis=-0.15715980564058407)),\n",
+       " ((45, 3, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.7655032774739143), mean=2.4076371514178407, variance=0.24068682096802357, skewness=0.25787115006032574, kurtosis=-0.23278661069579876)),\n",
+       " ((40, 6, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.6344813683062345), mean=2.4077533351492275, variance=0.25320749575495544, skewness=0.2812107479281849, kurtosis=-0.4215619870544707)),\n",
+       " ((25, 1, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1616185507986427, 3.7195088150342186), mean=2.4086178137902587, variance=0.23777282252768617, skewness=-0.018916891642525895, kurtosis=-0.21225144452113565)),\n",
+       " ((35, 4, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.6261780809782476), mean=2.408989352750845, variance=0.20993256278594338, skewness=0.20771311895378974, kurtosis=-0.5114565720950774)),\n",
+       " ((25, 5, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.6261780809782476), mean=2.409439772520956, variance=0.20459373614192744, skewness=0.2593292649700985, kurtosis=-0.43989262943361895)),\n",
+       " ((40, 5, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.184431415694061, 3.7717977793967843), mean=2.4103906271074926, variance=0.2622513620731259, skewness=0.28525878762522766, kurtosis=-0.11029258861434332)),\n",
+       " ((25, 4, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.6261780809782476), mean=2.410518885127268, variance=0.20550593327046196, skewness=0.2499724220330842, kurtosis=-0.4559192902865674)),\n",
+       " ((45, 9, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3911588477979093, 3.6967857019419847), mean=2.410540212549997, variance=0.2396217756873817, skewness=0.26811073141192715, kurtosis=-0.4597579615051637)),\n",
+       " ((25, 3, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.6261780809782476), mean=2.4108899944823015, variance=0.21198194312074198, skewness=0.24085917574500354, kurtosis=-0.46285314189413684)),\n",
+       " ((45, 4, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.819449071027997), mean=2.4112285800591664, variance=0.24211863480665663, skewness=0.3127233163899829, kurtosis=-0.14450499897441826)),\n",
+       " ((35, 2, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3488849778228653, 3.6261780809782476), mean=2.411574201138517, variance=0.21578778205407273, skewness=0.23369600888365885, kurtosis=-0.2867155946425828)),\n",
+       " ((40, 9, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3981383478421074, 3.7689006556014593), mean=2.4118508808603045, variance=0.26022119050841064, skewness=0.3682029744859333, kurtosis=-0.41218842818502033)),\n",
+       " ((45, 5, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.819449071027997), mean=2.4124482991603977, variance=0.248005365526009, skewness=0.35134624885668897, kurtosis=-0.007504347438727521)),\n",
+       " ((40, 8, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3981383478421074, 3.7689006556014593), mean=2.4124700839687243, variance=0.25532818691020326, skewness=0.35812542624780425, kurtosis=-0.3749700141329608)),\n",
+       " ((40, 4, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.184431415694061, 3.7655032774739143), mean=2.412501835410017, variance=0.2504678890342812, skewness=0.23613524618695558, kurtosis=-0.2089049468054367)),\n",
+       " ((45, 3, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.184431415694061, 3.82122118576931), mean=2.412821308581424, variance=0.24551095940694598, skewness=0.2924398069064522, kurtosis=-0.07143088476505399)),\n",
+       " ((45, 8, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3911588477979093, 3.6967857019419847), mean=2.4131517076091358, variance=0.24066940267301618, skewness=0.26131189253213666, kurtosis=-0.49633037705736216)),\n",
+       " ((45, 6, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3347463232592418, 3.819449071027997), mean=2.414563246470491, variance=0.25243118749415416, skewness=0.32718722307293585, kurtosis=-0.1359966216084869)),\n",
+       " ((25, 1, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3793123740968751, 3.7195088150342186), mean=2.4150328016456037, variance=0.22965534837872242, skewness=0.11268451204073322, kurtosis=-0.3615049140619653)),\n",
+       " ((40, 6, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.184431415694061, 3.724442042751297), mean=2.415071859981076, variance=0.26238842898246284, skewness=0.2633242071284276, kurtosis=-0.2445055517514012)),\n",
+       " ((45, 9, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3981383478421074, 3.7689006556014593), mean=2.416366874484952, variance=0.25708950801601954, skewness=0.3347859277339084, kurtosis=-0.41942847638872305)),\n",
+       " ((45, 8, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3981383478421074, 3.7689006556014593), mean=2.4179154555308684, variance=0.25567498182680215, skewness=0.32706170459005446, kurtosis=-0.4164166171364596)),\n",
+       " ((45, 7, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3268220109662052, 3.86758500469272), mean=2.418061266506169, variance=0.2617243674783607, skewness=0.3253382576002433, kurtosis=-0.06503236957059055)),\n",
+       " ((40, 7, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.184431415694061, 3.7725779764160206), mean=2.4188623730204735, variance=0.26939255179747723, skewness=0.2788384614811644, kurtosis=-0.18288967289790214)),\n",
+       " ((25, 2, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3488849778228653, 3.6261780809782476), mean=2.419065699428399, variance=0.21591709226718184, skewness=0.2058330707307416, kurtosis=-0.3095627615564962)),\n",
+       " ((40, 1, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.32972052526856, 3.7195088150342186), mean=2.4194208077125197, variance=0.22735926912395726, skewness=0.08411152670063812, kurtosis=-0.36976518164125993)),\n",
+       " ((20, 7, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2639142043132883, 3.6261780809782476), mean=2.420607944985054, variance=0.22213448574790956, skewness=0.07369247045913387, kurtosis=-0.3204623682911296)),\n",
+       " ((20, 9, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2639142043132883, 3.6261780809782476), mean=2.421994549752394, variance=0.22368579559809232, skewness=0.07766446553557484, kurtosis=-0.37632005523926537)),\n",
+       " ((20, 8, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2639142043132883, 3.6261780809782476), mean=2.4224237705113114, variance=0.22372683062153817, skewness=0.07733561784015744, kurtosis=-0.3741548157951047)),\n",
+       " ((15, 6, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1873023426231983, 3.6261780809782476), mean=2.4237830561768567, variance=0.2129392320893983, skewness=-0.08376772978701559, kurtosis=-0.2716619126555728)),\n",
+       " ((20, 6, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2639142043132883, 3.6261780809782476), mean=2.42404563849526, variance=0.2245852469553631, skewness=0.07550445732280753, kurtosis=-0.33011654543771085)),\n",
+       " ((15, 8, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1873023426231983, 3.6261780809782476), mean=2.4250234741780834, variance=0.20909704825092762, skewness=-0.06777194176027414, kurtosis=-0.27625274525067756)),\n",
+       " ((15, 9, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1873023426231983, 3.6261780809782476), mean=2.4250708875937916, variance=0.20883053530286166, skewness=-0.07138164793039069, kurtosis=-0.27475050421781333)),\n",
+       " ((40, 9, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3449456589241753, 3.7725779764160206), mean=2.425222538586002, variance=0.2758842502293917, skewness=0.33399224512560255, kurtosis=-0.27223767809946775)),\n",
+       " ((15, 7, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1873023426231983, 3.6261780809782476), mean=2.4252546445919934, variance=0.2075275053147006, skewness=-0.07069685472679284, kurtosis=-0.24599343619613867)),\n",
+       " ((15, 5, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1873023426231983, 3.6261780809782476), mean=2.4254430153975073, variance=0.2139334478379118, skewness=-0.09371038896209857, kurtosis=-0.2511108814365266)),\n",
+       " ((15, 4, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1873023426231983, 3.6261780809782476), mean=2.425698034696807, variance=0.21914834068542002, skewness=-0.06652177289464448, kurtosis=-0.3290842422376308)),\n",
+       " ((30, 9, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.4409555005564576, 3.6261780809782476), mean=2.4262628008241856, variance=0.21831525479458277, skewness=0.22263078724693997, kurtosis=-0.48808525476895026)),\n",
+       " ((40, 8, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3449456589241753, 3.7725779764160206), mean=2.4264197520081887, variance=0.27049178724551853, skewness=0.318896684817541, kurtosis=-0.2539636343376732)),\n",
+       " ((45, 4, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.184431415694061, 3.82122118576931), mean=2.4269174633995525, variance=0.25948011673042015, skewness=0.2999659622583222, kurtosis=-0.06571939509751745)),\n",
+       " ((30, 3, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.6261780809782476), mean=2.4271405903951044, variance=0.23033291768137476, skewness=0.1631811023842746, kurtosis=-0.5828797184614842)),\n",
+       " ((20, 2, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0487238909712968, 3.5605306008619384), mean=2.42725248440732, variance=0.240912705804242, skewness=-0.027445577863958494, kurtosis=-0.2989541627256087)),\n",
+       " ((30, 4, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.6261780809782476), mean=2.4275089000561385, variance=0.22327316852087933, skewness=0.17835340203663447, kurtosis=-0.5397748344422348)),\n",
+       " ((30, 7, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.6261780809782476), mean=2.429406136909439, variance=0.21858010355750818, skewness=0.2000876621727689, kurtosis=-0.5077100524895188)),\n",
+       " ((30, 8, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.4409555005564576, 3.6261780809782476), mean=2.4298489368050427, variance=0.21888683945586074, skewness=0.20063596567110728, kurtosis=-0.5176138357954292)),\n",
+       " ((45, 5, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2885549028222312, 3.9162282140460087), mean=2.432424925734303, variance=0.27393959139490665, skewness=0.373169478138468, kurtosis=0.006635598228321271)),\n",
+       " ((30, 6, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.6261780809782476), mean=2.432507639466392, variance=0.2202826193726728, skewness=0.18051045766742263, kurtosis=-0.510441313183494)),\n",
+       " ((25, 7, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0581332812065112, 3.680832989677557), mean=2.4332410339185766, variance=0.2491228344995086, skewness=-0.01261753485038881, kurtosis=-0.2375642444532593)),\n",
+       " ((30, 1, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.32972052526856, 3.6261780809782476), mean=2.433282778268923, variance=0.22134877479162188, skewness=0.08024460232414445, kurtosis=-0.3947248921866984)),\n",
+       " ((30, 5, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3892887019500362, 3.6261780809782476), mean=2.4345756829691187, variance=0.22113762404024856, skewness=0.14077885323381606, kurtosis=-0.5306541114660988)),\n",
+       " ((45, 8, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3923393481255855, 3.86758500469272), mean=2.4346991775070603, variance=0.2619768174726941, skewness=0.3410719204865325, kurtosis=-0.1540722090125799)),\n",
+       " ((25, 9, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2996440506088136, 3.680832989677557), mean=2.43477140368765, variance=0.2432307330156745, skewness=0.05414275019076038, kurtosis=-0.36907364977950285)),\n",
+       " ((45, 9, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3923393481255855, 3.86758500469272), mean=2.434922529220423, variance=0.26497488722201096, skewness=0.3487337194660302, kurtosis=-0.13525730518814028)),\n",
+       " ((20, 4, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3579617561666846, 3.6261780809782476), mean=2.4355294363069016, variance=0.22844370985525814, skewness=0.04564180713737524, kurtosis=-0.4708318500785569)),\n",
+       " ((25, 6, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0581332812065112, 3.680832989677557), mean=2.4356151895352216, variance=0.2545402506829705, skewness=-0.014315337290249688, kurtosis=-0.23985265026039926)),\n",
+       " ((45, 6, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3597777334547303, 3.9162282140460087), mean=2.436520062983622, variance=0.2731040454544077, skewness=0.3782243329854789, kurtosis=-0.038026118597547676)),\n",
+       " ((25, 8, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2996440506088136, 3.680832989677557), mean=2.4366509101256306, variance=0.24380395324511875, skewness=0.055522021814290286, kurtosis=-0.3745228956384281)),\n",
+       " ((20, 5, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3579617561666846, 3.6261780809782476), mean=2.4385881982087474, variance=0.22429320966832825, skewness=0.04935373950656626, kurtosis=-0.4198054833251561)),\n",
+       " ((30, 2, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.4082365099263328, 3.6261780809782476), mean=2.438737352325921, variance=0.22805965113028293, skewness=0.1429818073521336, kurtosis=-0.4555229006368986)),\n",
+       " ((45, 7, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3449456589241753, 3.9643641477107323), mean=2.439372515277074, variance=0.2801733914247726, skewness=0.4032973011280843, kurtosis=0.004250745916431153)),\n",
+       " ((15, 3, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1873023426231983, 3.6261780809782476), mean=2.441581110876761, variance=0.22090427842471203, skewness=-0.03683980809263881, kurtosis=-0.37562510182765596)),\n",
+       " ((25, 5, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0581332812065112, 3.680832989677557), mean=2.441599693225722, variance=0.25279254900744635, skewness=-0.049430446846301976, kurtosis=-0.23987523776176367)),\n",
+       " ((20, 3, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2702796676835728, 3.6261780809782476), mean=2.4429333572379126, variance=0.2317515347098559, skewness=0.030755596810590057, kurtosis=-0.38533107980366)),\n",
+       " ((35, 1, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3273505012242865, 3.6261780809782476), mean=2.4442174494359254, variance=0.22270434251888466, skewness=0.06292702158159418, kurtosis=-0.41536878070008587)),\n",
+       " ((45, 8, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3597777334547303, 3.9643641477107323), mean=2.4478526744775175, variance=0.2808214793691462, skewness=0.45054333863678114, kurtosis=-0.022699653611266246)),\n",
+       " ((45, 9, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3597777334547303, 3.9643641477107323), mean=2.4480861377214076, variance=0.28607402615953886, skewness=0.46832740215081625, kurtosis=-0.013192895201957988)),\n",
+       " ((25, 4, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0581332812065112, 3.680832989677557), mean=2.450736724300251, variance=0.255481258716427, skewness=-0.0916393786706801, kurtosis=-0.1946484500943786)),\n",
+       " ((25, 3, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0581332812065112, 3.6268822743745335), mean=2.4567771801373315, variance=0.26685758977245705, skewness=-0.13106930458537935, kurtosis=-0.23530203208601286)),\n",
+       " ((20, 1, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.32972052526856, 3.6261780809782476), mean=2.461412940346188, variance=0.22261073233179457, skewness=0.013054843197617676, kurtosis=-0.4048394269957174)),\n",
+       " ((15, 2, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2259766995447088, 3.6261780809782476), mean=2.4641723063091154, variance=0.2159265085681024, skewness=-0.010343951137930279, kurtosis=-0.30470002743739455)),\n",
+       " ((20, 2, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3251742111209324, 3.6261780809782476), mean=2.4703947628727625, variance=0.23315199031846423, skewness=-0.008292557084480892, kurtosis=-0.3128243051811035)),\n",
+       " ((25, 1, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.454272571633673, 3.6261780809782476), mean=2.473339889745894, variance=0.2233933922107472, skewness=0.017829377188284472, kurtosis=-0.4460671739578528)),\n",
+       " ((30, 1, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1532672794627605, 3.6261780809782476), mean=2.4826310994850456, variance=0.23833070883681687, skewness=-0.05751429986772294, kurtosis=-0.27576009544920854)),\n",
+       " ((25, 2, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.280605540735518, 3.6261780809782476), mean=2.4906008151320926, variance=0.248685931657691, skewness=-0.15565003519874476, kurtosis=-0.2276167953822883)),\n",
+       " ((15, 9, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1482231202046413, 3.66441849400411), mean=2.4991184440663403, variance=0.24559035270808768, skewness=-0.21622575184806114, kurtosis=-0.16251586619206204)),\n",
+       " ((15, 8, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0693913293578532, 3.66441849400411), mean=2.499706581469198, variance=0.2470089007313356, skewness=-0.24007391357504945, kurtosis=-0.10916436838477361)),\n",
+       " ((15, 7, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0693913293578532, 3.66441849400411), mean=2.502045838854079, variance=0.24585856220767538, skewness=-0.24920723946558182, kurtosis=-0.08569310815061959)),\n",
+       " ((20, 1, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2827429687623266, 3.6506824010059473), mean=2.506670301022558, variance=0.2521143544916601, skewness=-0.09572168770654672, kurtosis=-0.3066998890567092)),\n",
+       " ((15, 6, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0693913293578532, 3.66441849400411), mean=2.507056878471702, variance=0.2500685023613651, skewness=-0.2455081158344568, kurtosis=-0.06388626860450675)),\n",
+       " ((15, 5, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0693913293578532, 3.66441849400411), mean=2.5104525144988883, variance=0.258237832865022, skewness=-0.2592235877859567, kurtosis=-0.11572394159871147)),\n",
+       " ((15, 1, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.469281283482776, 3.6261780809782476), mean=2.5122558974038944, variance=0.2440282829471233, skewness=-0.12522757705704293, kurtosis=-0.48285495809641654)),\n",
+       " ((20, 1, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3362673027274208, 3.6261780809782476), mean=2.514185778093504, variance=0.24260229343779774, skewness=-0.13507501269991837, kurtosis=-0.2711732535949607)),\n",
+       " ((15, 4, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0693913293578532, 3.66441849400411), mean=2.514454351924287, variance=0.2641923391146466, skewness=-0.2689525157400004, kurtosis=-0.16619392726022308)),\n",
+       " ((15, 3, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0693913293578532, 3.66441849400411), mean=2.5172126530759686, variance=0.2807755090016337, skewness=-0.36304760594914764, kurtosis=-0.09794600674215204)),\n",
+       " ((20, 9, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1482231202046413, 3.706031535959886), mean=2.530455916115353, variance=0.277895703511729, skewness=-0.05581159504734332, kurtosis=-0.14130198306143615)),\n",
+       " ((20, 7, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0693913293578532, 3.706031535959886), mean=2.53252174939801, variance=0.2771156373425166, skewness=-0.07208813987939296, kurtosis=-0.1032661224771787)),\n",
+       " ((20, 8, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1482231202046413, 3.706031535959886), mean=2.533041000736945, variance=0.2762960956844567, skewness=-0.0518493542005356, kurtosis=-0.14641200049739478)),\n",
+       " ((20, 6, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0693913293578532, 3.706031535959886), mean=2.5335298487193905, variance=0.277852958678635, skewness=-0.06653145571842661, kurtosis=-0.09408401959396251)),\n",
+       " ((20, 5, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0693913293578532, 3.706031535959886), mean=2.5374620593106982, variance=0.2851672776793523, skewness=-0.13276170000964915, kurtosis=-0.08378526032506972)),\n",
+       " ((15, 2, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.280605540735518, 3.5448537261245736), mean=2.5393145110575412, variance=0.26180386621894675, skewness=-0.33957640223485785, kurtosis=-0.20905919146227614)),\n",
+       " ((20, 4, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0693913293578532, 3.706031535959886), mean=2.5435791505822083, variance=0.28893024616184776, skewness=-0.16093508869298748, kurtosis=-0.08748636816873168)),\n",
+       " ((15, 9, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.201268847274602, 3.585988729019799), mean=2.5464305599413226, variance=0.26795495027539973, skewness=-0.11469074924572617, kurtosis=-0.517523709902524)),\n",
+       " ((15, 8, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.201268847274602, 3.585988729019799), mean=2.5485245903964615, variance=0.26862635121426187, skewness=-0.12194093267641852, kurtosis=-0.5241112363445328)),\n",
+       " ((15, 6, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.201268847274602, 3.585988729019799), mean=2.549041398461515, variance=0.2728931242961085, skewness=-0.15514934615427897, kurtosis=-0.505909867544049)),\n",
+       " ((15, 7, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.201268847274602, 3.585988729019799), mean=2.5504816395542744, variance=0.2695209952065683, skewness=-0.12792988710767947, kurtosis=-0.5327642254880787)),\n",
+       " ((15, 5, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.4226294658585026, 3.5939585866713815), mean=2.554533540655466, variance=0.269587546488235, skewness=-0.10541615752597985, kurtosis=-0.5658111536655612)),\n",
+       " ((25, 1, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.280605540735518, 3.66441849400411), mean=2.56181421211636, variance=0.2601095214113185, skewness=-0.32632240498411913, kurtosis=-0.12005309910500106)),\n",
+       " ((20, 3, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0693913293578532, 3.7118106452900848), mean=2.5648878081388222, variance=0.288071300712369, skewness=-0.1560031922606656, kurtosis=-0.110412069870931)),\n",
+       " ((15, 4, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.4226294658585026, 3.5939585866713815), mean=2.5666447985570335, variance=0.26843038578214184, skewness=-0.14633910677551268, kurtosis=-0.560670544130895)),\n",
+       " ((15, 3, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.4226294658585026, 3.688916269874316), mean=2.580109759802578, variance=0.2821922595914078, skewness=-0.15430239150351965, kurtosis=-0.5342614515549466)),\n",
+       " ((20, 2, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2722541239378204, 3.8656333191299255), mean=2.5990973697762323, variance=0.26878379224054205, skewness=-0.08572147612813517, kurtosis=-0.12335277334607442)),\n",
+       " ((15, 1, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3160117650280163, 3.6053806394700256), mean=2.601205819621667, variance=0.27289267701422726, skewness=-0.4952990792320176, kurtosis=-0.03882736218116145)),\n",
+       " ((15, 2, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3898060381764048, 3.688916269874316), mean=2.609196850447406, variance=0.2716643462073717, skewness=-0.2642797975682462, kurtosis=-0.2848939064366114)),\n",
+       " ((10, 7, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1905609076446098, 3.7360770031252333), mean=2.6441927741135607, variance=0.2594721361604495, skewness=-0.34778411539796744, kurtosis=-0.15659274696374137)),\n",
+       " ((10, 8, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1905609076446098, 3.7360770031252333), mean=2.644217801251108, variance=0.2594927958428506, skewness=-0.3477939113557061, kurtosis=-0.15687301104545748)),\n",
+       " ((10, 9, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1905609076446098, 3.7360770031252333), mean=2.6445636740626393, variance=0.25947719317193274, skewness=-0.34986189727592815, kurtosis=-0.15558152824255256)),\n",
+       " ((10, 6, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1905609076446098, 3.7360770031252333), mean=2.646515331167755, variance=0.2625843266390292, skewness=-0.33129530187229717, kurtosis=-0.17352394193686305)),\n",
+       " ((10, 5, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1905609076446098, 3.7360770031252333), mean=2.6471995488373823, variance=0.26381906477320244, skewness=-0.320655946681577, kurtosis=-0.169339018678476)),\n",
+       " ((10, 4, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1905609076446098, 3.7360770031252333), mean=2.6498871800519215, variance=0.26492318590273994, skewness=-0.32446593956630665, kurtosis=-0.17512206191987056)),\n",
+       " ((10, 3, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1905609076446098, 3.7360770031252333), mean=2.660704229257497, variance=0.26893152564304285, skewness=-0.33487550920479664, kurtosis=-0.16293684332682234)),\n",
+       " ((10, 8, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2093113705231822, 3.897319842199613), mean=2.666691960592264, variance=0.29199551446842, skewness=-0.2379122845655639, kurtosis=-0.09918437143325853)),\n",
+       " ((10, 9, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2093113705231822, 3.897319842199613), mean=2.666691960592264, variance=0.29199551446842, skewness=-0.2379122845655639, kurtosis=-0.09918437143325853)),\n",
+       " ((10, 7, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2093113705231822, 3.897319842199613), mean=2.667071442043656, variance=0.29269861161342803, skewness=-0.23300886540344137, kurtosis=-0.09841994971348544)),\n",
+       " ((10, 6, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1398911880523022, 3.897319842199613), mean=2.669214639548226, variance=0.2935420680896115, skewness=-0.25504270121568223, kurtosis=-0.05367597717982964)),\n",
+       " ((10, 5, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1398911880523022, 3.897319842199613), mean=2.669744008221317, variance=0.29841910879887634, skewness=-0.22225993120261048, kurtosis=-0.0472763227484263)),\n",
+       " ((10, 4, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.217735384196255, 3.912896675694414), mean=2.676455843721493, variance=0.2937927870249197, skewness=-0.2234006371411064, kurtosis=-0.09048904303855432)),\n",
+       " ((10, 2, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1905609076446098, 3.7360770031252333), mean=2.681594986261088, variance=0.27842546188147577, skewness=-0.38497515584895964, kurtosis=-0.1392300490851719)),\n",
+       " ((10, 3, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.217735384196255, 3.912896675694414), mean=2.683735530723601, variance=0.2893644793141911, skewness=-0.24196472267608216, kurtosis=-0.01272835493523905)),\n",
+       " ((20, 1, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3423468584053975, 3.897319842199613), mean=2.684073393901844, variance=0.2807864899381598, skewness=-0.2364426189045562, kurtosis=-0.20265061882354019)),\n",
+       " ((10, 2, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.217735384196255, 4.095658947639928), mean=2.703919186064029, variance=0.2910392479358703, skewness=-0.17569831800238767, kurtosis=-0.026657277400341073)),\n",
+       " ((15, 8, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1626290271659017, 3.9147376529767435), mean=2.704509705407346, variance=0.27797811695164676, skewness=-0.3262617881322571, kurtosis=0.09119239683428315)),\n",
+       " ((15, 9, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.3957580288394014, 3.9147376529767435), mean=2.7075434147500044, variance=0.27093066675680394, skewness=-0.25501352814444467, kurtosis=-0.08732045907999852)),\n",
+       " ((15, 7, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1626290271659017, 3.9147376529767435), mean=2.7078749214557574, variance=0.2795285538018334, skewness=-0.2666613713523985, kurtosis=0.0995119864201448)),\n",
+       " ((15, 6, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0984114607111604, 3.9147376529767435), mean=2.711894351727476, variance=0.278369156594265, skewness=-0.30086035835336405, kurtosis=0.2023964929072064)),\n",
+       " ((15, 1, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.2588005585814288, 4.191259803191946), mean=2.7124903538315728, variance=0.28517216483889607, skewness=-0.21273665971149405, kurtosis=-0.06564314346805888)),\n",
+       " ((15, 5, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.0984114607111604, 3.9147376529767435), mean=2.7177283637337104, variance=0.2723959536913965, skewness=-0.33348323143825864, kurtosis=0.24648247402512613)),\n",
+       " ((15, 4, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1184268068034193, 4.095658947639928), mean=2.728873529740259, variance=0.2771105516332162, skewness=-0.31565304601887006, kurtosis=0.26495658847041126)),\n",
+       " ((15, 3, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.4211163358463492, 4.095658947639928), mean=2.7458533421389415, variance=0.2675799369586586, skewness=-0.1809451788868796, kurtosis=0.05540112858880075)),\n",
+       " ((10, 1, 20),\n",
+       "  DescribeResult(nobs=173, minmax=(1.1905609076446098, 3.832138275353508), mean=2.7507068339662806, variance=0.25787775042947936, skewness=-0.37508484769566325, kurtosis=-0.03210901516830633)),\n",
+       " ((10, 1, 10),\n",
+       "  DescribeResult(nobs=173, minmax=(1.217735384196255, 4.095658947639928), mean=2.756003469399469, variance=0.28989047602798246, skewness=-0.2945369702420912, kurtosis=-0.02369081827086239)),\n",
+       " ((15, 2, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.4211163358463492, 4.095658947639928), mean=2.7671814146840363, variance=0.27029380686229254, skewness=-0.2091631733056473, kurtosis=0.0691644289164639)),\n",
+       " ((15, 1, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(1.4871436032569523, 4.281798203709453), mean=2.836863894959103, variance=0.2729460542498244, skewness=-0.20357139230435106, kurtosis=0.09873747800409838)),\n",
+       " ((10, 6, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(0.9504744679463277, 4.128352337180152), mean=2.886892246290024, variance=0.27395091325862625, skewness=-0.5656360125824968, kurtosis=0.7011024739716984)),\n",
+       " ((10, 7, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(0.9504744679463277, 4.128352337180152), mean=2.8873207941438324, variance=0.2734748745700127, skewness=-0.5678949467015401, kurtosis=0.7141385046787252)),\n",
+       " ((10, 8, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(0.9504744679463277, 4.128352337180152), mean=2.8873207941438324, variance=0.2734748745700127, skewness=-0.5678949467015401, kurtosis=0.7141385046787252)),\n",
+       " ((10, 9, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(0.9504744679463277, 4.128352337180152), mean=2.8873207941438324, variance=0.2734748745700127, skewness=-0.5678949467015401, kurtosis=0.7141385046787252)),\n",
+       " ((10, 5, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(0.9504744679463277, 4.128352337180152), mean=2.8873477731939214, variance=0.2728824437420165, skewness=-0.5642008052784352, kurtosis=0.7097326337896264)),\n",
+       " ((10, 4, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(0.9504744679463277, 4.128352337180152), mean=2.8886994646476283, variance=0.27163703068449624, skewness=-0.5564449875702622, kurtosis=0.7075542805925097)),\n",
+       " ((10, 3, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(0.9504744679463277, 4.128352337180152), mean=2.894245688555616, variance=0.26682389539585616, skewness=-0.5105429044672873, kurtosis=0.6087195136790573)),\n",
+       " ((10, 2, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(0.9504744679463277, 4.128352337180152), mean=2.9003120200331316, variance=0.261910349388631, skewness=-0.5119892469577535, kurtosis=0.6424781625590157)),\n",
+       " ((10, 1, 0),\n",
+       "  DescribeResult(nobs=173, minmax=(0.9504744679463277, 4.2688324308036), mean=2.918631217038793, variance=0.2655104551963414, skewness=-0.5301066567004962, kurtosis=0.6648724709751717)),\n",
+       " ((10, 6, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.424401844727044, 4.036416795989875), mean=2.9209003612750677, variance=0.24247978797774788, skewness=-0.180609788966947, kurtosis=-0.13042431966873824)),\n",
+       " ((10, 7, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.424401844727044, 4.036416795989875), mean=2.9209003612750677, variance=0.24247978797774788, skewness=-0.180609788966947, kurtosis=-0.13042431966873824)),\n",
+       " ((10, 8, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.424401844727044, 4.036416795989875), mean=2.9209003612750677, variance=0.24247978797774788, skewness=-0.180609788966947, kurtosis=-0.13042431966873824)),\n",
+       " ((10, 9, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.424401844727044, 4.036416795989875), mean=2.9209003612750677, variance=0.24247978797774788, skewness=-0.180609788966947, kurtosis=-0.13042431966873824)),\n",
+       " ((10, 5, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.424401844727044, 4.036416795989875), mean=2.9227759884362543, variance=0.24341675218182648, skewness=-0.1876547463116731, kurtosis=-0.1468739255370366)),\n",
+       " ((10, 4, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.424401844727044, 4.036416795989875), mean=2.9231854043619783, variance=0.24314027663665091, skewness=-0.1893019934136203, kurtosis=-0.14083355822754395)),\n",
+       " ((10, 3, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.424401844727044, 4.191259803191946), mean=2.92518079836633, variance=0.24887539377691065, skewness=-0.14225847098489716, kurtosis=-0.08017538671679647)),\n",
+       " ((10, 2, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.424401844727044, 4.191259803191946), mean=2.931984625553082, variance=0.2494577589000683, skewness=-0.11959221264031848, kurtosis=-0.13815791364404895)),\n",
+       " ((10, 1, 30),\n",
+       "  DescribeResult(nobs=173, minmax=(1.7501416446074862, 4.191259803191946), mean=2.961261234054409, variance=0.2398959796022379, skewness=-0.1092311580556235, kurtosis=-0.26051346232955686))]"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "execution_count": 7
   }
  ],
  "metadata": {