Question

The variance of a data set with 10 numbers is 12. What is the standard deviation of the data set?

answers below:

1.2

3.46

6

144

Answer 1

The standard deviation is the square root of the variance. Given that the variance of the data set is 12, you can calculate the standard deviation as follows:

\[
\text{Standard Deviation} = \sqrt{\text{Variance}} = \sqrt{12}
\]

Calculating that:

\[
\sqrt{12} \approx 3.46
\]

Therefore, the standard deviation of the data set is approximately **3.46**.