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

`Z = -2.48`

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 = (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 = (X - \mu)/(\sigma)`

`Z = (3.28 - 3.90)/(0.65)`

`Z = -2.48`