Two classes took the same test. Class A's scores had a median of 85 and an IQR of 10. Class B's scores had a median of 80 and an IQR of 20. What can be concluded?

Class A had higher scores on average and were more consistent.

Class A had higher scores on average, but were less consistent.

Class B had higher scores on average and were more consistent.

Class B had higher scores on average, but were less consistent.

Two sets of data are compared using box plots. Both plots have the exact same median value. Which statement must be true?

The data sets have the same range.

The data sets have the same interquartile range.

The center of both data sets is the same.

Both data sets have the same shape.

Comparative Inferences Using Box Plots Practice — Grade 7 math

Lesson 5: Comparative Inferences Using Box Plots — Practice Questions

1. Two classes took the same test. Class A's scores had a median of 85 and an IQR of 10. Class B's scores had a median of 80 and an IQR of 20. What can be concluded?
- A. Class A had higher scores on average and were more consistent.
- B. Class A had higher scores on average, but were less consistent.
- C. Class B had higher scores on average and were more consistent.
- D. Class B had higher scores on average, but were less consistent.
2. The box plot for daily sales at Store 1 shows Q1 at 150 dollars and Q3 at 210 dollars. The box plot for Store 2 shows Q1 at 160 dollars and Q3 at 200 dollars. What is the IQR for Store 1? ___ dollars
3. The box for a dataset of fish lengths has its lower end (Q1) at 8 cm and its upper end (Q3) at 14 cm. The whiskers extend to a minimum of 5 cm and a maximum of 19 cm. What is the interquartile range? ___ cm
4. Two sets of data are compared using box plots. Both plots have the exact same median value. Which statement must be true?
- A. The data sets have the same range.
- B. The data sets have the same interquartile range.
- C. The center of both data sets is the same.
- D. Both data sets have the same shape.
5. A farm compares the weights of two breeds of chickens. Breed A's weights have Q1=4 lbs and Q3=7 lbs. Breed B's weights have Q1=5 lbs and Q3=9 lbs. How much greater is the IQR for Breed B than for Breed A? ___ lbs
6. A box-and-whisker plot for a dataset shows a first quartile ($Q_1$) of 30 and a third quartile ($Q_3$) of 55. What is the interquartile range (IQR) of this data? ___
7. In a box-and-whisker plot, which part of the plot represents the middle 50% of the data?
- A. The entire length of the plot from minimum to maximum
- B. The line segment inside the box
- C. The box itself
- D. The whiskers
8. Consider the following set of daily rainfall amounts in millimeters: 5, 8, 10, 12, 14, 17, 20. What is the median ($Q_2$) of this data set? ___
9. Which of the following values is NOT one of the five key values used to construct a box-and-whisker plot?
- A. Minimum
- B. Median
- C. Mean
- D. Maximum
10. A box plot of weekly sales data has an interquartile range (IQR) of 20. If the third quartile ($Q_3$) is 85, what is the value of the first quartile ($Q_1$)? ___