Question

Emma was told that her IQ score was 2 standard deviations below the mean, If IQ scores were approximately normalwith u = 97 and o= 3, what was Emma's score? Do not include units in your answer. For example, if you found that thescore was 97 points, you would enter 97.

Answer 1

`\begin{gathered} Z=(x-\mu)/(\sigma)\text{ =-2} \\ \\ Z=(x-97)/(3)=-2 \\ x-97=-6\text{ (Having cross multiplied)} \\ x=97-6 \\ x=91 \end{gathered}`

So, Emma's IQ score is 91.