Question

A survey of students' favorite sports was taken from a random sample of

students in a school. The results are shown in the table below. If there are
550 students in the school, predict how many students at the school prefer
track and field. *
Students' Favorite
Sports
Soccer
8
Baseball/Softball 3
Volleyball
5
Track & Field
4.
Your answer

Answer 1

110

Explanation:

4/20 = x/550

550x4 divided by 20 = 110

Answer 2

129

Explanation:

Considering the survey to be representative, you can simply multiply the share of students p preferring “Track & Field” with the whole school population at the same time to estimate the number of such students in the whole school.

First we need to find the relative share p of such answers in the study by dividing it by the sum of answers, assuming that the table is complete for that random sample:

p = 4/(8 + 5 + 4) = 4/17

Then for the whole school we get 550 p ≈ 129.4