Comparing Two Data Sets

Match the following inference with the statistical measure that best justifies the inference: "The middle two quartiles of students in Grade 6 had greater variability in time spent doing homework last week than the middle two quartiles of students in Grade 8."

• 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)

Brazil asks 7 classmates how many erasers and pens they carry in their bags. The mean number of erasers is 10. The mean number of pens is 4. What inference could Brazil make using this data?

• Most of Brazil's classmates carry more pens than erasers in their bags.

• All of Brazil's classmates carry more erasers than pens in their bags.

• Most of Brazil's classmates carry more erasers than pens in their bags.

• Most of Brazil's classmates carry similar amounts of erasers and pens in their bags.

Select all that are true.

• The top box and whisker plot is the Florida Marlins.

• The bottom box and whisker plot has a bigger standard deviation.

• Both box and whisker plots have roughly equal medians.

• Both box and whisker plots are skewed right.

• The top box and whisker plot has a bigger standard deviation.

Given the histogram and dot plot, which statements are true? Select all that apply.

• You can find the range is 22 by analyzing the dot plot.

• You can find the mode from the histogram.

• You can find the median from the dot plot.

• You can find the mode from the dot plot.

Given the dot plot and box and whisker, which statements are true? Select all that apply.

• The range can be found by analyzing the dot plot.

• The range can be found by analyzing the box and whisker plot.

• It's easier to find the median with the box and whisker plot.

• You can find the average from the box and whisker plot.

• You can find the average from the dot plot.

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