Question

Use the table to answer the question:

numbre of pairs of shoes: 2, 3, 4, 5, 6, 7, 8, 10
Number of 6th graders: 5, 6, 1, 1, 4, 7, 2, 1
Michael wants to know how many pairs of shoes 6th graders own. He surveys the 6th graders at his summer camp. His results are given in the table. What is the mean number of pairs of shoes owned by the 6th graders he surveyed? Round your answer to the nearest whole number.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the mean, we first need to multiply the number of pairs of shoes by the number of 6th graders who own that number of pairs:

(2 pairs of shoes) * 5 6th graders = 10
(3 pairs of shoes) * 6 6th graders = 18
(4 pairs of shoes) * 1 6th grader = 4
(5 pairs of shoes) * 1 6th grader = 5
(6 pairs of shoes) * 4 6th graders = 24
(7 pairs of shoes) * 7 6th graders = 49
(8 pairs of shoes) * 2 6th graders = 16
(10 pairs of shoes) * 1 6th grader = 10

Next, add up all the totals:

10 + 18 + 4 + 5 + 24 + 49 + 16 + 10 = 136

Now, find the total number of 6th graders surveyed:

5 + 6 + 1 + 1 + 4 + 7 + 2 + 1 = 27

Finally, to find the mean number of pairs of shoes owned by the 6th graders surveyed, divide the total number of pairs of shoes by the total number of 6th graders:

136 / 27 = 5.037

Rounded to the nearest whole number, the mean number of pairs of shoes owned by the 6th graders surveyed is 5.