Question

A set of data has mean 66 and standard deviation 7. Find the z-score of the value 51.

Answer 1

Answer:

-2.14

Explanation:

The z-score for a given value can be calculated as

$z-score=\frac{value\text{ - mean}}{\text{ standard deviation}}$

Therefore, the z-score of 51 can be calculated as

$\begin{gathered} \text{ z-score =}\frac{51-66}{7} \\ \\ \text{ z-score=}\frac{-15}{7} \\ \\ \text{ z-score=-2.14} \end{gathered}$

Therefore, the answer is -2.14