Grade 6 | Unit 8 | Lesson 14: Comparing Mean and Median | Practice Problems

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.

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.

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.

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

Zookeepers recorded the ages, weights, genders, and heights of the 10 pandas at their zoo. Write two statistical questions that could be answered using these data sets.

Here is a set of coordinates. Draw and label an appropriate pair of axes and plot the points. \(A = (1, 0)\), \(B = (0, 0.5)\), \(C= (4, 3.5)\), \(D = (1.5, 0.5)\)