Question

A set of data items is normally distributed with a mean of 240 and a standard deviation of 32. Convert 336 to a​ z-score.

Answer 1

`z=3`

Explanation:

Given:

Test score of the sample,
`x=336`

Mean of the normally distributed sample,
`\mu=240`

Standard deviation of the sample,
`\sigma=32`

Therefore, the
`z`-score for a normally distributed sample is given as:

`z=(x-\mu)/(\sigma)\\\\z=(336-240)/(32)\\\\z=(96)/(32)=3`

So, the z-score of the given set of data is 3.