52 lines
1.6 KiB
Python
52 lines
1.6 KiB
Python
#!/usr/bin/env python3
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from math import sqrt
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# from itertools import islice
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def variance(xs):
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n = len(xs)
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mu = sum(xs) / n
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# mu = 265.8
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# print(sum(map(lambda x: (x - mu)**2, xs)))
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s = sum(map(lambda x: (x - mu)**2, xs))
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var = s / n
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deriv = sqrt(var)
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# var = sqrt( / len(xs))
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print('\\begin{align*}')
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print(f' n &= {n} \\\\')
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print(f' \\mu &= \\frac{{{sum(xs)}}}{{n}} = {mu:.1f} \\\\')
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print(f' s &= \\sum\\limits_{{i=1}}^{{n}} {{(x_i - \\mu)}}^2 \\\\')
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# print [mylist[i:i+4] ]
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first = True
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for i in range(0, n, 3):
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symbol = '=' if first else '+'
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l = xs[i:i+3]
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a = ' + '.join(map(lambda x: f'{{({x} - {mu:.1f})}}^2', l))
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first = False
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print(f' &{symbol} {a} \\\\')
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print(f' &= {s:.1f} \\\\')
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# a = ' + '.join(map(lambda x: f'({x} - {mu})^2', xs))
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print(f' \\sigma^2 &= \\frac{{s}}{{n}} = {var:.1f} \\\\')
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print(f' \\sigma &= \\sqrt{{\\sigma^2}} = {deriv:.1f}')
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print('\\end{align*}')
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print()
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print()
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print()
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print()
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# \mu &= 1595 / 4 = 398.75 \\
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# \sigma &= \sqrt{\frac{(403 - 398.75)^2 + (369 - 398.75)^2 + (405 - 398.75)^2 + (418 - 398.75)^2}{4}} = 10.5
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def main():
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# for xs in [[808, 787], [403, 369, 405, 418], [258, 273, 257, 264, 293, 250], [140, 175, 186, 166, 159, 152, 172, 148, 151, 146]]:
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# for xs in [[258, 273, 257, 264, 293, 250]]:
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for xs in [[499322, 500678], [249504, 250451, 249818, 250227], [166430, 166861, 166269, 166937, 166623, 166880], [100424, 99650, 99307, 100305, 99403, 100562, 100277, 99875, 99911, 100286]]:
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variance(xs)
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if __name__ == '__main__':
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main()
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