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

artist	platinum albums
artist 2	94
artist 3	81
artist 4	74
artist 5	69

female artists with the most platinum albums

artist	platinum albums
artist 2	63
artist 3	57
artist 4	52
artist 5	44

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 less than the greatest data item for the women
○ b. 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
○ 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. 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

Explanation:

The mean is the average of a set of data. If all the data items in one set are greater than all the data items in another set, then the mean of the first - set will be greater. Looking at the data:

• The number of platinum albums for male artists: \(146,94,81,74,69\)
• The number of platinum albums for female artists: \(65,63,57,52,44\)

We can see that each value in the male artists' data set (\(146>65\), \(94 > 63\), \(81>57\), \(74>52\), \(69>44\)) is greater than the corresponding value in the female artists' data set.

Answer:

B. 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