Question

If the mean of a set of data is 23 and the standard deviation is 4, what data value has a z-score of -1.5?

Answer 1

17

Explanation:

`\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=(x-\mu)/(\sigma)\\ \\-1.5=(x-23)/(4)\\ \\-6=x-23\\\\17=x`

Therefore, the observed value that gives a z-score of -1.5 is 17