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

Seppo Enarvi asked May 11, 2023

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Seppo Enarvi asked May 11, 2023

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19 votes

Answer:

-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

Cerniuk answered May 17, 2023

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