Comparing Data Variability

Given the following distributions, which has the smallest IQR?

• Red

• Purple

• Black

Given a set of skewed data, which is an appropriate measure of spread?

• Mean

• Median

• Standard Deviation

• Interquartile Range (IQR)

The prices at several different stores for a pair of shoes are shown below.
$78, $79, $81, $82, $83
Two days later, another store has the same shoes on sale for $65. How does the new price affect the data?

• Only the range was affected.

• The median increased, and the range increased.

• The mean increased, and the range increased.

• The mean decreased and the range increased.

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)

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 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)

• Seventh graders tend to spend less time on homework than sixth graders.

• The sixth grade data has a larger mode number of hours than the seventh grade data.

• The sixth grade data has a larger maximum number of hours than the seventh grade data.

• The median number of hours for both grade levels is 8 hours.

Which student appears to have more predictable test scores? (less spread out/ varied)

• Amy

• Ed

Which highway will likely be the quickest?

• I-80 because more than 75% of the data is less than I-5 median wait time.

• I-5 because it has a lower minimum value.

• Cannot Be Determined

Which highway has a lower Interquartile Range?

• I-80

• I-5

• Cannot Be Determined