A particular group of men have heights with a mean of 169 cm

A particular group of men have heights with a mean of 169 cm and a standard deviation of 8 cm. Richard had a height of 177 cm. a. What is the positive difference between Richard\'s height and the mean? b. How many standard deviations is that [the difference found in part (a)]? c. Convert Richard\'s height to a z score. d. If we consider \"usual\" heights to be those that convert to z scores between -2 and 2, is Richards height usual or unusual? a. The positive difference between Richard\'s height and the mean is 8 cm. b. The difference i standard deviations.

Solution

Mean height of the sample = 169 cm

S.D = 8 cm

Richard\'s height = 177 cm

It is 177 - 169 = 8 cm more

1 SD = 8 cm

So,

Richard\'s height is 1 Standard deviation more or the difference is of 1 standard deviation.

Hope this helps.