Question

For a normally distributed data set with a mean of 830 and a standard deviation of 96.7, calculate the z-score for a

data point of 915.

Answer 1

Answer: 0.8790072 approximately

Round this however your teacher instructs.

=================================================

Work Shown:

mu = 830 = mean

sigma = 96.7 = standard deviation

x = 915 = given raw score we want to convert

z = (x - mu)/sigma

z = (915 - 830)/(96.7)

z = (85)/(96.7)

z = 0.8790072 approximately