Question

The data sets give the number of platinum albums for the five male artists and the five female artists in a country with the most platinum albums through a recent year.​ (Platinum albums sell one million units or​ more.) Complete parts​ (a) through​ (d) below.
Male Artists with the most platinum albums
Female Artists with the most platinum albums
Artist
Platinum Albums
Artist
Platinum Albums
Artist 1
142
Artist 1
63
Artist 2
102
Artist 2
61
Artist 3
78
Artist 3
53
Artist 4
75
Artist 4
51
Artist 5
66
Artist 5
45
Question content area bottom
Part 1
a. Without​ calculating, which data set has the greater mean number of platinum​ albums? Explain your answer.
A.
Male artists have the greater mean number of platinum albums because all of the data items for the men are greater than the greatest data item for the women.
B.
Female artists have the greater mean number of platinum albums because all of the data items for the women are greater than the greatest data item for the men.
C.
Female artists have the greater mean number of platinum albums because all of the data items for the women are less than the greatest data item for the men.
D.
Male artists have the greater mean number of platinum albums because all of the data items for the men are less than the greatest data item for the women.

Answer 1

A. Male artists have the greater mean number of platinum albums because every male value (smallest 66) is larger than the largest female value (63), so the male mean must be larger.