Aparticular group of men have heights with a mean of 174 cm and a standard deviation of 6 cm. earl had a height of 192 cm. a. what is the positive difference between earl's height and the mean? b. how many standard deviations is that [the difference found in part (a)]? c. convert earl's height to a z score. d. if we consider "usual" heights to be those that convert to z scores between minus2 and 2, is earl's height usual or unusual? a. the positive difference between earl's height and the mean is nothing cm.

a) 18 cm

b) 18

c) 3

The Earl's height is unusual because the  z score does not lies in the given range of usual i.e -2 and 2

Step-by-step explanation:

Given:

Mean height, μ = 174 cm

Standard deviation = 6 cm

height of Earl, x = 192 cm

a) The positive difference between Earl height and the mean = x - μ

= 192 - 174 = 18 cm

b) standard deviations is 18

c) Now,

the z score is calculated as:

or

or

z = 3

The Earl's height is unusual because the  z score does not lies in the given range of usual i.e -2 and 2

because 1.2 isnt half of 6 duh