Question

The mean of a set of data is 3.90 and its standard deviation is 0.25. Find the z score for a value of 3.28. Round your answer to two decimal places.

Answer 1

Answer:

$Z = -2.48$

Step-by-step explanation:

The z-score measures how many standard deviations a score X is above or below the mean.

It is given by the following formula:

$Z = \frac{X - \mu}{\sigma}$

In which $\mu$ is the mean and $\sigma$ is the standard deviation.

The mean of a set of data is 3.90 and its standard deviation is 0.25. Find the z score for a value of 3.28. Round your answer to two decimal places

So it is Z when $X = 3.28, \mu = 3.90, \sigma = 0.25$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3.28 - 3.90}{0.65}$

$Z = -2.48$