Need help with a Pre-Statistics question

Question

If a father’s height is 1.9 standard deviations greater than his son’s, how much larger is his height’s z-score than his son’s?

Answer 1

Hi Dee-Dee!

A z-score tells you how much a number is different from your mean. Z-scores are measured in terms of standard deviations (i.e., one standard deviation away from the mean can be 1 or -1, depending on which direction it goes in). Therefore, if the father’s height is 1.9 standard deviations higher, the z-score will be 1.9 as well.

Hope this helps!

Answer 2

The z-score equals the number of standard deviations a value is above or below the mean in the standard normal distribution.

The father's height being 1.9 standard deviations greater than his son's means his z-score is 1.9 higher as well.