CamronZ149291 CamronZ149291
  • 25-10-2022
  • Mathematics
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A set of data items is normally distributed with a mean of 90 and a standard deviation of 8. Convert 86 to a z-score.

A set of data items is normally distributed with a mean of 90 and a standard deviation of 8 Convert 86 to a zscore class=

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NorianaH585917 NorianaH585917
  • 25-10-2022

Explanation

We are to find the z-score for the given data

To do so, we will use the formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

where

[tex]\begin{gathered} x=observed\text{ mean=86} \\ \mu=90 \\ \sigma=8 \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} z_{86}=\frac{86-90}{8}=-\frac{4}{8}=-0.5 \\ \\ z_{86}=-0.5 \end{gathered}[/tex]

The z-score is -0.5

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