Question

the mean of a distribution is 85 with a standard deviation of 10. what is the z - score for a value of 100? 0.75 1.5 -1.5 -0.75

Explanation:

Step1: Recall z - score formula

The formula for the z - score is $z=\frac{x-\mu}{\sigma}$, where $x$ is the value from the data set, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify values

We are given that $\mu = 85$, $\sigma=10$, and $x = 100$.

Step3: Substitute values into formula

$z=\frac{100 - 85}{10}=\frac{15}{10}=1.5$

Answer:

1.5