## Related questions with answers

Question

A set of data items is normally distributed with a mean of 60 and a standard deviation of 8. Convert each data item to a z-score. 100

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 5Given:

$\begin{aligned} \text{Data value}&=100 \\ \text{Mean}&=60 \\ \text{Standard deviation}&=8 \end{aligned}$

We need to determine the z-score corresponding to the data value.

The **z-score** is the difference between the data value and the mean, divided by the standard deviation.

$\begin{aligned} z&=\frac{\text{Data value}-\text{Mean}}{\text{Standard deviation}} \end{aligned}$

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