A box plot has a box extending from 100 to 150, with a median line at 110. What does this tell us about the spread of the data?

The data from 110 to 150 is more spread out.

The data from 100 to 110 is more spread out.

The data is symmetric within the box.

The box plot for Class A's test scores has an IQR of 8. The box plot for Class B's scores has an IQR of 15. What can be concluded?

The middle 50% of scores in Class B are more spread out.

The middle 50% of scores in Class A are more spread out.

Class A has a higher median score.

Class B has a larger overall range of scores.

Box-and-Whisker Plots Practice — Grade 6 math

Lesson 4: Box-and-Whisker Plots — Practice Questions

1. A dataset has a 5-number summary of {5, 12, 18, 25, 31}. The interquartile range (IQR), represented by the width of the box in a box plot, is ___.
2. For a dataset with a 5-number summary of {20, 35, 41, 50, 65}, which values define the segment for the left whisker of its box plot?
- A. From 20 to 35
- B. From 35 to 41
- C. From 50 to 65
- D. From 20 to 41
3. A box plot has a box extending from 100 to 150, with a median line at 110. What does this tell us about the spread of the data?
- A. The data from 110 to 150 is more spread out.
- B. The data from 100 to 110 is more spread out.
- C. The data is symmetric within the box.
- D. The minimum value is 100.
4. In a box plot created from the 5-number summary {42, 55, 61, 78, 90}, the vertical line inside the box is drawn at the value ___.
5. The box plot for Class A's test scores has an IQR of 8. The box plot for Class B's scores has an IQR of 15. What can be concluded?
- A. The middle 50% of scores in Class B are more spread out.
- B. The middle 50% of scores in Class A are more spread out.
- C. Class A has a higher median score.
- D. Class B has a larger overall range of scores.
6. Two reading groups' speeds are shown on box plots. Group A has a median of 150 words per minute and an IQR of 20. Group B has a median of 160 and an IQR of 35. Which statement is the best comparison?
- A. Group A reads faster on average and more consistently.
- B. Group B reads faster on average and has more variability.
- C. Both groups have the same average reading speed.
- D. Group B's reading speeds are more consistent than Group A's.
7. A box plot for daily temperatures in Town X has an IQR of $8^{\circ}F$. Town Y has a box plot with an IQR of $15^{\circ}F$. The difference in the interquartile ranges is ___ degrees Fahrenheit.
8. Sarah's commute times form a symmetric box plot. Tom's commute times form a right-skewed plot with a long upper whisker. What does the shape of Tom's plot suggest about his commute?
- A. His commute times are very consistent.
- B. He occasionally has unusually long commute times.
- C. His commute times are always shorter than Sarah's.
- D. He never has a very short commute.
9. Box plots show the heights of two basketball teams. The median height for the Rockets is 78 inches, and the median for the Jets is 75 inches. Based on the medians, which conclusion is most accurate?
- A. The Rockets have a taller team on average.
- B. The Jets have a taller team on average.
- C. The teams have the same typical height.
- D. The tallest player is on the Rockets.
10. The IQR for apple weights from Orchard A is 11 grams. Orchard B's apples have a wider box plot, with an IQR that is 6 grams greater than Orchard A's. The IQR for Orchard B is ___ grams.