A radio station surveyed a group of men and women, asking them to name the genre of music they prefer. This table shows the survey results.

Pop Jazz Rock Hip-Hop

Men 16 38 101 45

Women 91 48 22 39

Which statements about this data are true? Round your answers to the nearest hundredth.

A. The relative frequency of people who prefer jazz who are women is 0.24.

B. The relative frequency of men who prefer hip-hop is 0.54.

C. The relative frequency of people who prefer rock who are men is 0.50.

D. The relative frequency of women who prefer pop is 0.46.

E. The relative frequency of people who prefer hip-hop who are women is 0.46.

Question

Mathematics

Stella Bradley

19 June, 16:49

A radio station surveyed a group of men and women, asking them to name the genre of music they prefer. This table shows the survey results.

Pop Jazz Rock Hip-Hop

Men 16 38 101 45

Women 91 48 22 39

Which statements about this data are true? Round your answers to the nearest hundredth.

A. The relative frequency of people who prefer jazz who are women is 0.24.

B. The relative frequency of men who prefer hip-hop is 0.54.

C. The relative frequency of people who prefer rock who are men is 0.50.

D. The relative frequency of women who prefer pop is 0.46.

E. The relative frequency of people who prefer hip-hop who are women is 0.46.

+4

Answers (1)

Know the Answer?

Frank Logan · Answer 1

Total people:

16 + 38 + 101 + 45 + 91 + 48 + 22 + 39 = 400

total men: 16 + 38 + 101 + 45 = 200

total women = 400-200 = 200

total pop: 16+91 = 107

jazz = 38+48 = 86

rock: 101+22 = 123

hip hop: 45 + 39 = 84

A. 48 / 400 = 0.12

B. 45/200 = 0.23

C. 101/400 = 0.25

D. 91/200 = 0.46

E: 39/400 = 0.10

D is the only correct one if I did my math correctly