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Standard deviation of the sampling distribution is using incorrect calculation #334

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catherinecarter opened this issue May 16, 2024 · 1 comment
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@catherinecarter
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The standard deviation of the sampling distribution is equal to the standard error of the mean for n projectiles.

Currently, the SD of the sampling distribution is using the following formula:
SD = $\sqrt{\sum(x_i - xbar)^2/n}$

The correct formula is:
SD = $\sqrt{\sum(x_i - xbar)^2/(n - 1)}$

In these equations, $x_1$ refers to the mean of each sample, and $xbar$ refers to the mean of means. n is the sample size.

The values will be close, especially for larger n, but I'm noting here that the calculation is incorrect currently.

@samreid
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samreid commented May 17, 2024

@matthew-blackman will you please evaluate and take the first steps here?

@samreid samreid removed their assignment May 17, 2024
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