Measures of Center Quick Check
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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 point)
Responses
9 hours
9 hours
2.14 hours
2.14 hours
1 hour
1 hour
1.4 hours
To find the mean number of hours students spent on math homework, we need to calculate the sum of all the data points and then divide by the total number of data points.
The data provided is: 1 hour (8 students), 2 hours (6 students), 3 hours (4 students), 4 hours (2 students), and 5 hours (1 student).
To calculate the mean, we multiply each data point by the number of students and then sum them up:
(1 hour * 8 students) + (2 hours * 6 students) + (3 hours * 4 students) + (4 hours * 2 students) + (5 hours * 1 student) = 8 + 12 + 12 + 8 + 5 = 45.
The total number of students is 8 + 6 + 4 + 2 + 1 = 21.
Finally, we divide the sum of all the data points by the total number of students:
mean = 45 / 21 = 2.14 hours.
Therefore, the mean number of hours students spent on math homework is approximately 2.14 hours.