Two groups of students took a quiz. Group A had a median score of 90 and an $IQR$ of 5. Group B had a median of 82 and an $IQR$ of 15. Which statement is the best comparison?

Group A's scores were higher on average and more consistent.

Group A's scores were higher on average but less consistent.

Group B's scores were higher on average and more consistent.

Group B's scores were higher on average but less consistent.

The box plot for the heights of basketball players has a smaller interquartile range ($IQR$) than the box plot for the heights of soccer players. What does this indicate?

The basketball players have a higher median height.

The soccer players have a lower median height.

The heights of the middle 50% of basketball players are less spread out.

The overall range of heights is smaller for basketball players.

For Plot X, $Q_1=50$ and $Q_3=70$. For Plot Y, $Q_1=75$ and $Q_3=90$. What conclusion can be drawn by comparing the boxes of the plots?

The median of X is greater than the median of Y.

The middle 50% of data in Y are all greater than the middle 50% of data in X.

The data in Plot X has a greater spread than the data in Plot Y.

The ranges of Plot X and Plot Y are equal.

Comparing Data Sets Practice — Grade 11 math

Lesson 2: Comparing Data Sets — Practice Questions

1. Two groups of students took a quiz. Group A had a median score of 90 and an $IQR$ of 5. Group B had a median of 82 and an $IQR$ of 15. Which statement is the best comparison?
- A. Group A's scores were higher on average and more consistent.
- B. Group A's scores were higher on average but less consistent.
- C. Group B's scores were higher on average and more consistent.
- D. Group B's scores were higher on average but less consistent.
2. A box plot for daily laptop sales at Store 1 has a first quartile ($Q_1$) of 8 and a third quartile ($Q_3$) of 15. What is the interquartile range ($IQR$) for Store 1? ___
3. The box plot for the heights of basketball players has a smaller interquartile range ($IQR$) than the box plot for the heights of soccer players. What does this indicate?
- A. The basketball players have a higher median height.
- B. The soccer players have a lower median height.
- C. The heights of the middle 50% of basketball players are less spread out.
- D. The overall range of heights is smaller for basketball players.
4. The box plot for daily visitors at Park A shows a minimum of 200 and a maximum of 550. The plot for Park B shows a minimum of 150 and a maximum of 650. What is the overall range for Park B? ___
5. For Plot X, $Q_1=50$ and $Q_3=70$. For Plot Y, $Q_1=75$ and $Q_3=90$. What conclusion can be drawn by comparing the boxes of the plots?
- A. The median of X is greater than the median of Y.
- B. The middle 50% of data in Y are all greater than the middle 50% of data in X.
- C. The data in Plot X has a greater spread than the data in Plot Y.
- D. The ranges of Plot X and Plot Y are equal.
6. Two brands of light bulbs are tested. Brand A has a mean lifespan of 900 hours, and Brand B has a mean of 912 hours. If both have a MAD of 8 hours, what can be concluded?
- A. The lifespans of the two brands are significantly different.
- B. The lifespans of the two brands are not very different.
- C. Brand B bulbs always last longer than Brand A bulbs.
- D. The data for Brand B is more spread out than for Brand A.
7. Two bakeries track their daily cookie sales. Bakery 1 has a mean of 200 sales with a MAD of 5. Bakery 2 has a mean of 200 sales with a MAD of 20. Which statement is true?
- A. Bakery 2 has more consistent daily sales than Bakery 1.
- B. Bakery 1 has more consistent daily sales than Bakery 2.
- C. Both bakeries sell the exact same number of cookies each day.
- D. Bakery 2 is more popular than Bakery 1.
8. The difference in the mean download speeds for two internet providers is 4.5 times the MAD. If the MAD for both providers is 4 Mbps, what is the difference between their mean speeds? ___ Mbps
9. The mean length of mystery novels is 310 pages, while the mean for science fiction is 370 pages. If both genres have a MAD of 15 pages, the difference in mean length is ___ times the MAD.