Question

Find the z-score for a test score of 86% if themean was 75% and the standard deviationwas 6 points.

Answer 1

`1.833`

Step-by-step explanation

To find the z-score, we have to apply the formula:

`Z=(x-\mu)/(\sigma)`

where x = Score

μ = Mean

σ = Standard deviation

Therefore, the z-score for the test score is:

`\begin{gathered} Z=(86-75)/(6) \\ Z=(11)/(6) \\ Z=1.833 \end{gathered}`