Question

a data set has a variance of 27
what is the standard deviation of the data set?

Answer 1

the standard deviation is the square root of the variance so
 square root 27 is 5.196152423

Answer 2

The data set that has a variance of 27, has a standard deviation of 5.196.

What is the relation between variance and standard deviation of a data set?

For a given data set, standard deviation is the square root of the variance.

We know, standard deviation $= \sqrt{variance}$

Therefore, when variance is 27, standard deviation is

  $= \sqrt{variance}$

$= \sqrt{27} \\= 5.196$

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