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A set of data items is normally distributed with a mean of 110 and a standard...

A set of data items is normally distributed with a mean of 110 and a standard deviation of 24. Convert each of the following data items to a z-score. Round your answer to the nearest hundredth. (a) 171 z = (b) 53 z =

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Answer #1

Solution :

Given that ,

mean = = 110

standard deviation =  = 24

a) x = 171

Using z-score formula,

z = x - /   

z = 171 - 110 / 24

z = 2.54

b) x = 53

Using z-score formula,

z = x - /   

z = 53 - 110 / 24

z = -2.38

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