Comparing Mean Median

Match the following inference with the statistical measure that best justifies the inference: "Half of the students in Grade 8 spent more time doing homework last week than at least half of the students in Grade 6."

• Mean

• Median

• Range

• Interquartile Range (IQR)

What is the difference between the medians for the two data sets? 

• 0 tickets

• 2 tickets

• 4 tickets

• 6 tickets

What is the difference between the medians for cars and SUVs?

• 0

• 5

• 7

Which statement is true?

• Set A has the lesser range

• Set B has the greater median

• Set A has the greater mean

• Set B is less symmetric than Set A

Which car club has the higher median?

• Cruisers

• Car Hops

• Neither, they are the same

What is the median of Set A

• 20

• 30

• 40

• 50

The box-and-whisker plots below show the scores earned by 6th and 7th graders on a year-end reading test. Which statement is best supported by the box-and-whisker plots?

• The range of the 7^th grade scores is greater than the range of the 6^th grade scores.

• The median of the 6^th grade scores is greater than the median of the 7^th grade scores.

• The mean of the 7^th grade scores is less than the mean of the 6^th grade scores.

• The number of 6^th graders who took the test is greater than the number of 7^th graders who took the test.

The ages of the starting players of two soccer teams are shown below. Knights: 16, 18, 15, 14, 17, 17, 18, 16, 17, 14, 17 Trojans: 18, 14, 17, 15, 15, 14, 16, 18, 16, 18, 16 Based on this data, select all the true statements below.

• The median of ages on the Knights team is greater than the median of ages on the Trojans team.

• The mean of the ages on the Knights team is greater than the median of the ages on the Trojans team.

• The median of ages on the Knights team is one greater than the range of ages on the Trojans team.

• The mean of the ages on the Knights team is less than the mean of the ages on the Trojans team.

• The mean of the ages on the Knights team is greater than the mean of the ages on the Trojans team.

The dot plots below show the number of customers at Mr. Burger and Mr. Chicken during rush hour over the course of 10 days. Which statement correctly compares the distribution of the number of customers at each restaurant during rush hour?

• Mr. Burger's number of customers during rush hour, is greater than Mr. Chicken's number of customers during rush hour.

• Mr. Burger's median number of customers during rush hour, is greater than Mr. Chicken's median number of customers during rush hour.

• There is more variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

• There is less variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

Given the following distributions, which has the highest median?

• Red

• Purple

• Black