Question

24. For a particular group of scores, M = 15 and SD = 3. Provide the raw score for a Z score of 7: (Points : 2)
15
24
36
48

Answer 1

Use the formula,
\[Z=\frac{X-\mu}{\sigma}\]
Plug in the given values, \(Z=7\), \(\mu=M=15\), and \(\sigma=SD=3\).

Answer 2

36??

Answer 3

\[7=\frac{X-15}{3}~\Rightarrow~21=X-15~\Rightarrow~X=\cdots\]

Answer 4

So yes, \(X=36\).