A dot plot shows the number of books read last month: 1, 2, 2, 3, 3, 3, 8, 9. Which statement best describes the data?

The data is clustered from 1 to 3.

The data has a gap between 2 and 3.

Interpreting the Shapes of Data Displays Practice — Grade 11 math

Lesson 3: Interpreting the Shapes of Data Displays — Practice Questions

1. A dot plot shows the number of pets owned by students: 0, 1, 2, 1, 3, 1, 2. The peak of this data set is ___.
2. The scores on a science quiz are: 5, 6, 7, 7, 12, 13, 13. A gap in the dot plot exists between the values 7 and 12. The largest whole number in this gap is ___.
3. When analyzing a dot plot, which feature represents the data value that occurs with the greatest frequency?
- A. The cluster
- B. The gap
- C. The peak
- D. The outlier
4. A dot plot shows the number of books read last month: 1, 2, 2, 3, 3, 3, 8, 9. Which statement best describes the data?
- A. The data has a peak at 9.
- B. The data is clustered from 1 to 3.
- C. The data has a gap between 2 and 3.
- D. The data has no outliers.
5. A dot plot shows points scored in a game. Score 10 has two dots, score 20 has five dots, score 30 has four dots, and score 50 has one dot. The peak score is ___.
6. A dataset has $Q_1 = 20$, median $= 25$, $Q_3 = 40$, a minimum of 15, and a maximum of 60. What is the shape of the distribution?
- A. Symmetric
- B. Skewed right
- C. Skewed left
- D. Cannot be determined
7. For a symmetric distribution shown on a box plot, the first quartile ($Q_1$) is 50 and the third quartile ($Q_3$) is 90. The median must be ___.
8. Consider a box plot where the median is 80, $Q_1$ is 60, and $Q_3$ is 85. The left whisker is much longer than the right whisker. How is this distribution shaped?
- A. Symmetric
- B. Skewed right
- C. Skewed left
- D. Uniform
9. If a box plot shows a distribution is skewed to the left, which statement is true?
- A. The right whisker is longer than the left whisker.
- B. The median is closer to $Q_1$ than to $Q_3$.
- C. The distance from the median to $Q_3$ is less than the distance to $Q_1$.
- D. The distribution is symmetric.
10. A box plot has a first quartile $Q_1=12$ and a third quartile $Q_3=38$. If the distribution is skewed right, the median could be 20. If it were skewed left, the median could be ___.