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2-(x-x) 2 Why does the formula for calculating the sample variance, s , involve

ID: 3041185 • Letter: 2

Question

2-(x-x) 2 Why does the formula for calculating the sample variance, s , involve division by n-1 instead of n? Choose the correct answer below. 0 A. If the formula involved division by n, the sample variance would be biased and consistently underestimate the population variance. O B. The formula involves division by n-1 so that the result will be in the same units as the original data OC. The formula involves division by n-1 because it is calculating the average of n-1 values. 0 D. If the formula involved division by n, the sample variance would be biased and consistently overestimate the population variance.

Explanation / Answer

We divide by n-1, so the sample variance is unbiased and consistently overestimate the population standard variance

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