Question

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

Answer 1

-2.14

Step-by-step 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 =}(51-66)/(7) \\ \\ \text{ z-score=}(-15)/(7) \\ \\ \text{ z-score=-2.14} \end{gathered}`

Therefore, the answer is -2.14