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)
Responses

2.14 hours
2.14 hours

1 hour
1 hour

1.4 hours
1.4 hours

9 hours

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 the students.

This can be calculated by multiplying each number of hours spent by the corresponding number of students and adding them all together.

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

Next, we divide the total number of hours by the total number of students to find the mean:

45 hours / 21 students = 2.14 hours

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