Lesson 14: Comparing Mean and Median | Unit 8: Data Sets and Distributions

Multiple Choice

Here is a dot plot that shows the ages of teachers at a school. Which of these statements is true of the data set shown in the dot plot?

• The mean is less than the median.

• The mean is approximately equal to the median.

• The mean is greater than the median.

• The mean cannot be determined.

Multiple Choice

Priya asked each of five friends to attempt to throw a ball in a trash can until they succeeded. She recorded the number of unsuccessful attempts made by each friend as: 1, 8, 6, 2, 4. Priya made a mistake: The 8 in the data set should have been 18. How would changing the 8 to 18 affect the mean and median of the data set?

• The mean would decrease and the median would not change.

• The mean would increase and the median would not change.

• The mean would decrease and the median would increase.

• The mean would increase and the median would increase.

Open Ended

In his history class, Han's homework scores are: 100, 100, 100, 100, 95, 100, 90, 100, 0. The history teacher uses the mean to calculate the grade for homework. Write an argument for Han to explain why median would be a better measure to use for his homework grades.

Multiple Select

The dot plots show how much time, in minutes, students in a class took to complete each of five different tasks.

Select **all** the dot plots of tasks for which the mean time is approximately equal to the median time.

• Dot plot A

• Dot plot B

• Dot plot C

• Dot plot D

• Dot plot E

Open Ended

Here is a dot plot that represents a data set. Explain why the mean of the data set is greater than its median.