Question

	Women		Men
	Mean	Standard deviation	Mean	Standard deviation
Shortest Acceptable Height	68.9	2.6	60.6	3.7
Tallest Acceptable Height	75.3	2.2	69.8	2.7

1. Which group, men or women, showed more variation for their shortest acceptable heights?
2. For the layperson, explain what the standard deviation of 2.2 means compared to the standard

Answer 1

Shortest Acceptable Height :

Women:

= 68.9

= 2.6

Coefficient of Variation (CV) is given by:

%

Men:

= 60.6

= 3.7

Coefficient of Variation (CV) is given by:

%

Men showed more variation for their shortest acceptable heights,

because Coefficient of men = 6.11 % is greater than Coefficient of women = 3.78 %

(b)

Explanation of what the standard deviation of 2.2 means compared to the standard deviation of 2.7:

For the Tallest Acceptable Height, since the standard deviation of women = 2.2 is small, it indicates that the values in the data set are close to the mean of data set on average as compared to he standard deviation of men = 2.7.