Question

Consider a normally distributed data set with a mean of 154 and a standard deviation of 9.8. If one of the observed values is 176, what is the z score?

Answer 1

+2.24
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Answer 2

z score = 2.24

Explanation:

A normally distributed data set is given with a mean of 154 standard deviation 9.8.

If one of the observed value is 176, then we have to calculate the z-score.

z value =
`(Score-mean)/(standarddeviation)`

z score =
`(176-154)/(9.8)`

=
`(22)/(9.8)` = 2.24

z score = 2.24