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@ -1141,7 +1141,7 @@
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\begin{align*}
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\overline{x} &= \frac{1}{100} * (50*10 + 20*10.1 + 10*10.2 + 20*9.9)\\
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&= 10.02 \\
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s^2 &= \frac{1}{100} * (50*10^2 + 20*10.1^2 + 10*10.2^2 + 20*9.9^2) - \frac{100}{99} * 10.02^2\\
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s^2 &= \frac{1}{99} * (50*10^2 + 20*10.1^2 + 10*10.2^2 + 20*9.9^2) - \frac{100}{99} * 10.02^2\\
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&= \frac{19}{2475} \approx 0.007677\\
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s &= \sqrt{\frac{19}{2475}} = \frac{\sqrt{209}}{165} \approx 0.08762
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\end{align*}
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