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
9 hours
9 hours
2.14 hours
2.14 hours
1.4 hours
1.4 hours
1 hour
To find the mean number of hours students spent on math homework, we need to calculate the total number of hours spent by all students and then divide by the total number of students.
Total number of hours = (1*8) + (2*6) + (3*4) + (4*2) + (5*1) = 8 + 12 + 12 + 8 + 5 = 45 hours
Total number of students = 8 + 6 + 4 + 2 + 1 = 21 students
Mean number of hours = Total number of hours / Total number of students = 45 / 21 ≈ 2.14 hours
Therefore, the mean number of hours students spent on math homework is approximately 2.14 hours.