A particular group of men have heights with a mean of 180 cm and a standard devi

Question

A particular group of men have heights with a mean of 180 cm and a standard deviation of 7 cm. Bill had a height of 188 cm. a. What is the positive difference between Bill's height and the mean? b. How many standard deviations is that [the difference found in part (a)]? c. Convert Bill'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 Bill's height usual or unusual? a. The positive difference between Bill's height and the mean iscm.

Explanation / Answer

a) positive difference in heights =|180-188| =8

b) standard deviation =differnece/std deviation =8/7=1.1429

c) as we know that x score =(X-mean)/std deviation =(180-188)/7 =-1.1429

d) as z score is between 2 and -2 ; therefore Bill's height is not unusual.

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