Question

In a survey 200 people were polled at a local shopping center about spending free time playing sports, watching a movie, or reading a book. The relative frequency table below displays the results.

MOVIES SPORTS READ
MALE 0.25 0.30 0.10
FEMALE 0.15 0.05 0.15
a. How many males surveyed preferred playing sports?

b. How many people surveyed preferred to read a book?

c. How many females were surveyed?

Answer 1

a. How many males surveyed preferred playing sports?
 The relative frequency of men who prefer sports is:
 0.30
 Therefore, for this case we have:
 (0.30) * (200) = 60
 60 males surveyed preferred playing sports

 b. How many people surveyed preferred to read a book?
 The people who prefer to read books are:
 0.10 + 0.15 = 0.25
 Then, of the quantity interviewed we have:
 (0.25) * (200) = 50
 50 people surveyed preferred to read a book

 c. How many females were surveyed?
 The number of women interviewed is:
 0.15 + 0.05 + 0.15 = 0.35
 (0.35) * (200) = 70
 70 females were surveyed