Question

If a data point has a corresponding z-score of -1.5, then it is one and a half standard deviations above the mean value. True or False?

Answer 1

False. In fact it should be 1.5σ below the

Answer 2

False.

Explanation:

We have been given a statement. We are asked to determine whether our given statement is true or false.

Statement:

If a data point has a corresponding z-score of -1.5, then it is one and a half standard deviations above the mean value.

We know that z-score represents that a data point is how many standard deviation above or below mean.

A negative z-score means that the given data point is below mean and a positive z-score means that the given data point is above mean.

Since our given z-score is
`-1.5`, therefore, the data point will be
`1.5` standard deviation below mean and the given statement is false.