# For a population with a standard deviation of σ = 10, a score of X = 44 corresponds to z = –0.50. What is the population mean?

Jan 5, 2017

The population mean is $= 49$

#### Explanation:

The z-score is

$z = \frac{x - \mu}{\sigma}$

$z = - 0.5$

$x = 44$

$\sigma = 10$

Therefore,

$- 0.5 = \frac{44 - \mu}{10}$

$- 5 = 44 - \mu$

$\mu = 44 + 5 = 49$