The heights of men in America are normally distributed, with the mean of 69.5 inches and the standard deviation of 2.63 inches. What is the z score of a 6’4 man and z score of a 5’11 women.

Answer 1

Hi, Evelyn,

A z-score essentially tells you how far away a data point is from the mean of a sample, relative to that sample's standard deviation. Calculating a z-score requires knowing the standard deviation and mean of a sample. From the information that you provided, you can use the following formula to find the z-score for a man of 6'4", but you don't have enough information to find the z-score for a woman.

To find the z-score of any data value (x), use this formula:

z = (x - mean) ÷ standard deviation