Comparative Inferences: Variability

What is the approximate difference in the interquartile ranges?

• 20

• 12

• 32

• 40

Which box and whisker plot has the smallest lower quartile?

• Top plot

• Bottom plot

• They are the same

Which box and whisker plot shows more "spread out" data?

• Top plot

• Bottom plot

• They are the same

Which city has a higher median?

• Millersburg

• Arcadia

• They are the same

Which has a Median of 1?

• Zach 

• Steven 

• They both have a median on 1

Make comparative inferences about the flowers in the two gardens.

• The flowers in Garden Z are taller than the flowers in Garden Y.

• The box plots do not allow for inferences to be made about the flowers.

• The flowers in Garden Y are generally taller than flowers in Garden Z.

• The flowers are the same height in both gardens.

If you compare the medians of each data set, who spends more time online?

• Seventh graders

• Eight graders

• Both grades spend an equal amount of time online.

• Impossible to determine form the data sets.

One week, Kyasia drove to work. The next week, she rode the train. Each day, she recorded how long it took in minutes. What can Kyasia infer from the two data sets?

• The time it take to get to drive to work is more consistent than the time it takes to take the train.

• Based on the mean, it generally takes longer to take the train to work.

• In terms of time, it is less consistent to drive than it is to take the train to work.

• It's impossible to make any inferences based on the data display.

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)