Question

Jane computes the variance for a set of data and gets the correct answer of 16. What is the standard deviation for this same set of data

Answer 1

The standard deviation of a dataset is the square root of the variance.

The standard deviation of the same set of data is 4

The variance is given as:

$\sigma^2 = 16$

Take the square root of both sides to calculate the standard deviation

$\sigma = \sqrt{\sigma^2$

Substitute 16 for $\sigma^2$.

So, we have:

$\sigma = \sqrt{16}$

Take the positive square root of 16

$\sigma = 4$

Hence, the standard deviation of the same set of data is 4

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