Question

data collected for a study involving IQ scores of four year old girls produced a mean of 100 and a standard deviation of 10 what IQ score does a z-score of -1.5 represent

Answer 1

85

Step-by-step explanation:

First, recall the formula for Z-Score.

Substitute the given values:

`\begin{gathered} -1.5=(X-100)/(10)\text{ } \\ X-100=-1.5*10 \\ X-100=-15 \\ X=100-15 \\ X=85 \end{gathered}`

A z-score of -1.5 represents ​an IQ score of 85.