Question

A data set has a mean of 720 and a standard deviation of 6. which is closest to the z-score for an element of this data set with a value of 709

Answer 1

Mean = u = 720
Standard deviation = s = 6
Data Value = x = 709

The formula to calculate the z score is:

$z= \frac{x-u}{s}$

Using the values, we get:

$z= \frac{709-720}{6} \\ \\ z=-1.83$

Thus the z score for the data value will be -1.83.