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Algebra Difficulty 1.6 Junior Find the answer Canada

The table shows the results of a poll which asked each student how many hamburgers he or she ate at the end of year class party.

Number of hamburgers
0
1
2
3
4

Number of students
12
14
8
4
2

What is the average (mean) number of hamburgers eaten per student?

Pick one

Solution

The mean number of hamburgers eaten per student equals the total number of hamburgers eaten divided by the total number of students.

12 students each eat 0 hamburgers. This is a total of 0 hamburgers eaten.

14 students each eat 1 hamburger. This is a total of 14 hamburgers eaten.

8 students each eat 2 hamburgers. This is a total of 16 hamburgers eaten.

4 students each eat 3 hamburgers. This is a total of 12 hamburgers eaten.

2 students each eat 4 hamburgers. This is a total of 8 hamburgers eaten.

Thus, a total of $0+14+16+12+8=50$ hamburgers are eaten.

The total number of students is $12+14+8+4+2=40$ .

Therefore, the mean number of hamburgers eaten is $\frac{50}{40}=1.25$ .

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.