Question

The results of a common standardized test used in psychology research is designed so that the population mean is 130 and the standard deviation is 40. A subject earns a score of 174. What is the z-score for this raw score?

Answer 1

$\dpi{100} \mathbf{Solution}\;$

$\dpi{100} \mathbf{given:}\;mean\;(\mu)=130,\;standard\;deviation\;(\sigma)=40$

$\dpi{100} raw\;score\;(X)=174$

$\dpi{100} \mathbf{formula:}\;Z-score=\frac{X-\mu}{\sigma}$

$\dpi{100} Z-score=\frac{174-130}{40}$

$\dpi{100} Z-score=\frac{44}{40}$

$\dpi{100} Z-score={\color{Red} 1.1}$