Question

A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. Find the value that is +3 standard deviations away from the mean.

Answer 1

if one standard deviation is 8.3 then 3 standard deviations is 3 (8.3) since it is +3 add the result to the mean.

Answer 2

69.9

Explanation:

If the value is +3 standard deviations from the mean, the z-score is 3.

324.969.9===x1−458.3x1−45x1

The value 69.9 is +3 standard deviations from the mean.