Comparing Two or More Data Sets

Match the following inference with the statistical measure that best justifies the inference:

"On average, students in Grade 8 spent 2 more hours last week doing homework than students in Grade 6."

• Mean

• Median

• Range

• Interquartile Range (IQR)

Match the following inference with the statistical measure that best justifies the inference: "The two students in the same grade that had the greatest difference in time spent doing homework last week are in Grade 8."

• Mean

• Median

• Range

• Interquartile Range (IQR)

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)

A bowling team participates in a two-day tournament and records the scores for each team member on both days. The scores for both days are represented by the box plots below.

Which conclusions can be drawn from the box plots?

• The scores on Friday and the scores on Saturday have the same median and interquartile range.

• The scores on Friday have a greater median and a greater interquartile range than the scores on Saturday.

• The scores on Friday have a greater interquartile range than the scores on Saturday, but both data sets have the same median.

• The scores on Friday have a greater median than the scores on Saturday, but both data sets have the same interquartile range.

What is the approximate difference in the interquartile ranges?

• 20

• 12

• 32

• 40

What is the difference in medians?

• 0

• 25

• 50

• 75

How many more people like red than purple?

• 100

• 10

• 2

• 5

The graph below shows the number of sunny days and rainy days in a city during four months.

Based on the graph,how many more sunny days than rainy days did this city have during the months of April, May, and June?

• 21

• 56

• 26

• 20

Which data set shows a greater spread?

• Chess Club

• Checkers Club

• They have the same spread.

• You cannot tell from the box plots. 

Band members are selling magazines to raise $200 for a school dance.  The bar graph shows the amount of the sales so far.  Which statement is best supported by the information in the graph? 

•   Stan does not like selling magazines as much as the other band members. 

• Josh raised half as much money as Chris

•   Altogether they have raised more than $150. 

• Mya has raised $5 more than Stan.