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112 changes: 106 additions & 6 deletions notebook/problems.ipynb
Original file line number Diff line number Diff line change
Expand Up @@ -30,12 +30,87 @@
},
{
"cell_type": "code",
"execution_count": 1,
"execution_count": 11,
"id": "34720ab6",
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Normal Distribution:\n",
"Mean: -0.028619142236640034\n",
"Median: -0.017270072330735627\n",
"Mode: ModeResult(mode=-1.789772257755604, count=1)\n",
"Standard Deviation: 0.8504782461047726\n",
"Variance: 0.7233132470974502\n",
"Range: 4.1504060137771885\n",
"Kurtosis: -0.22984275091294082\n",
"Skewness: 0.1876392566353732\n",
"Chi-Square Distribution (degrees of freedom = 3):\n",
"Mean: 3.0351302359457906\n",
"Median: 2.396361773406997\n",
"Mode: ModeResult(mode=0.0826946028144708, count=1)\n",
"Standard Deviation: 2.3641911718270654\n",
"Varaince: 5.589399896945032\n",
"Range: 12.234950149104789\n",
"Kurtosis: 2.078076991312349\n",
"Skewness: 1.3992822141563568\n"
]
}
],
"source": [
"# TODO"
"# TODO\n",
"import numpy as np\n",
"from scipy.stats import kurtosis, skew, mode\n",
"\n",
"np.random.seed(88)\n",
"\n",
"normal_distribution = np.random.normal(0, 1, 100)\n",
"chi_square_distribution = np.random.chisquare(3, 100)\n",
"\n",
"# normal metrics\n",
"normal_mean = np.mean(normal_distribution)\n",
"normal_median = np.median(normal_distribution)\n",
"normal_mode = mode(normal_distribution)\n",
"normal_std = np.std(normal_distribution)\n",
"normal_variance = np.var(normal_distribution)\n",
"normal_range = np.amax(normal_distribution) - np.amin(normal_distribution)\n",
"normal_kurtosis = kurtosis(normal_distribution)\n",
"normal_skewness = skew(normal_distribution)\n",
"\n",
"\n",
"# chi metrics\n",
"chi_mean = np.mean(chi_square_distribution)\n",
"chi_median = np.median(chi_square_distribution)\n",
"chi_mode = mode(chi_square_distribution)\n",
"chi_std = np.std(chi_square_distribution)\n",
"chi_variance = np.var(chi_square_distribution)\n",
"chi_range = np.amax(chi_square_distribution) - np.amin(chi_square_distribution)\n",
"chi_kurtosis = kurtosis(chi_square_distribution)\n",
"chi_skewness = skew(chi_square_distribution)\n",
"\n",
"\n",
"# results\n",
"print(\"Normal Distribution:\")\n",
"print(\"Mean:\", normal_mean)\n",
"print(\"Median:\", normal_median)\n",
"print(\"Mode:\", normal_mode)\n",
"print(\"Standard Deviation:\", normal_std)\n",
"print(\"Variance:\", normal_variance)\n",
"print(\"Range:\", normal_range)\n",
"print(\"Kurtosis:\", normal_kurtosis)\n",
"print(\"Skewness:\", normal_skewness)\n",
"\n",
"print(\"Chi-Square Distribution (degrees of freedom = 3):\")\n",
"print(\"Mean:\", chi_mean)\n",
"print(\"Median:\", chi_median)\n",
"print(\"Mode:\", chi_mode)\n",
"print(\"Standard Deviation:\", chi_std)\n",
"print(\"Varaince:\", chi_variance)\n",
"print(\"Range:\", chi_range)\n",
"print(\"Kurtosis:\", chi_kurtosis)\n",
"print(\"Skewness:\", chi_skewness)\n"
]
},
{
Expand All @@ -54,12 +129,37 @@
},
{
"cell_type": "code",
"execution_count": 2,
"execution_count": 4,
"id": "d590308e",
"metadata": {},
"outputs": [],
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Standard Deviation: 2.0\n"
]
}
],
"source": [
"# TODO"
"# TODO\n",
"\n",
"data = [4, 2, 5, 8, 6]\n",
"\n",
"def calc_mean(data):\n",
" return sum(data) / len(data)\n",
"\n",
"def calc_std_dev(data):\n",
" mean = calc_mean(data)\n",
" variance = sum((x - mean) ** 2 for x in data) / len(data)\n",
" std_dev = variance ** 0.5\n",
" return std_dev\n",
"\n",
"\n",
"standard_deviation = calc_std_dev(data)\n",
"\n",
"\n",
"print(\"Standard Deviation:\", standard_deviation)"
]
}
],
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