Use the image to answer the question.

A bar graph shows the number of hours spent on math homework versus the number of students. The horizontal axis shows the time in hours ranging from 1 to 5 in increments of 1. The vertical axis shows the number of students ranging from 0 to 10 in increments of 1. The data with time in hours, followed by the number of students is as follows: 1 to 8, 2 to 6, 3 to 4, 4 to 2, and 5 to 1.

The graph shows the number of hours randomly selected students spent on math homework. What is the mean number of hours students spent on math homework?

(1 point)

1 answer

To find the mean number of hours students spent on math homework, we first need to calculate the total number of hours spent by all students.

Total hours = 1(8) + 2(6) + 3(4) + 4(2) + 5(1) = 8 + 12 + 12 + 8 + 5 = 45 hours

Next, we find the total number of students:

Total students = 8 + 6 + 4 + 2 + 1 = 21 students

Now, we can calculate the mean by dividing the total hours by the total number of students:

Mean = Total hours / Total students
Mean = 45 hours / 21 students
Mean = 2.14 hours

Therefore, the mean number of hours students spent on math homework is 2.14 hours.