Question

a new radio station wants to know which type of music people in the area like the most. the station took a survey and displayed the results in a two-way frequency table. complete parts a and b
click the icon to view the survey results.

a. if the radio station wants to mainly play two of the categories, which two categories would result in the most listeners? explain. choose the correct answer below.
a. alternative and rock would result in the most listeners. these two categories show the type that men like most and the type that women like most.
b. rock and jazz would result in the most listeners. these two categories show the greatest totals of men and women in the total column.
c. country and pop would result in the most listeners. these two categories show the least totals of men and women in the total column.
d. jazz and pop would result in the most listeners. these two categories show the average number of men and women in the total column.

Explanation:

To determine which two music categories give the most listeners, we analyze the logic of each option:

• Option A: If a category is the most - liked by men and another is the most - liked by women, combining them would likely capture the largest number of listeners (since we are taking the top - liked from each gender group).
• Option B: Saying Rock and Jazz have the greatest totals in the total column is incorrect. If we want the most listeners, we should look at the most - preferred categories (either by gender or overall), not just a vague "greatest totals" which is not well - defined here.
• Option C: "Least totals" would result in the fewest listeners, not the most.
• Option D: "Average number" does not imply the highest number of listeners.

Answer:

A. Alternative and Rock would result in the most listeners. These two categories show the type that men like most and the type that women like most.