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?

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13-05-2017
Mathematics

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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?

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mreijepatmat mreijepatmat · Answer 1 · 2017-05-13T23:56:31+02:00

mreijepatmat mreijepatmat

13-05-2017

False. In fact it should be 1.5σ below the

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ApusApus ApusApus · Answer 2 · 2019-07-06T14:21:17+02:00

Answer:

False.

Step-by-step 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 [tex]-1.5[/tex], therefore, the data point will be [tex]1.5[/tex] standard deviation below mean and the given statement is false.