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.

Data, Variability, and Statistical Questions Practice — Grade 6 math

Lesson 1: Data, Variability, and Statistical Questions — 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 city planner surveys two random groups of 50 commuters. The first group's average commute is 28 minutes; the second is 31 minutes. What is this difference an example of?
- A. Sampling variability
- B. A calculation mistake
- C. Population bias
- D. A non-random sample
7. Two separate polls survey residents about a new public library. One poll finds 72% support, and another finds 68% support. What does this variability suggest about the town's actual support?
- A. The true support level is likely between 68% and 72%.
- B. One of the polls must have been conducted incorrectly.
- C. No valid conclusion can be made from this data.
- D. The library is unpopular with at least 30% of residents.
8. When two random samples from the same high school show different average daily screen times, this expected and natural difference is known as sampling ___.
9. A pollster finds 25% of residents in one random sample listen to podcasts daily, while a second sample shows 29%. This 4% difference is an example of sampling ___.
10. A researcher takes two random samples of students to find the average number of books read per year. Sample 1 average is 12 books; Sample 2 is 15 books. What term describes this difference?
- A. A sampling error
- B. Sampling variability
- C. A population parameter
- D. Researcher bias