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

129

Step-by-step 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