Measures of Center Quick Check

2 of 52 of 5 Items
Question
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 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.

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

Next, we need to calculate the total number of students.

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

Now, to find the mean number of hours, we divide the total hours by the total number of students.

Mean = Total hours / Total students
Mean = 45 / 21
Mean = 2.14 (rounded to two decimal places)

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