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

Answer:

17

Step-by-step explanation:

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

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