Consider the five number summary of hourly wages for a samp

Consider the five number summary of hourly wages ($) for a sample of sales managers. Suppose the mean hourly wage is $38.50. What can we say about the shape of the distribution?

Min

Q1

Median

Q3

Max

20.94

37.64

44.77

49.34

67.11

Select one:

a. The distribution of hourly wages for sales managers is symmetric.

b. The distribution of hourly wages for sales managers is skewed right.

c. The distribution of hourly wages for sales managers is skewed left.

d. The distribution of hourly wages for sales managers is bimodal.

e. None of the above.

Solution

Here mean is smaller than the median.

Hence not symmetrical but skewed left

Also it is increasing throughout hence there is no chance for bimodal.

Hence right answer is

c. The distribution of hourly wages for sales managers is skewed left.