Question

Mr. Chiu made a dot plot after asking his students a question.

A dot plot titled How Many Hours Did you Study for the Math Test Question mark going from 0 to 6. 0 has 1 dot, 1 has 2 dots, 2 has 3 dots, 3 has 2 dots, 4 has 1 dot, 5 has 2 dots, and 6 has 1 dot.

Based on the dot plot, which statements are correct? Check all that apply.
Eleven students answered Mr. Chiu’s question.
Twelve students answered Mr. Chiu’s question.
Three people studied for two hours.
Three people studied for three hours.
Everyone who responded studied for at least one hour.
Four people studied for four or more hours.

Answer 1

To analyze the dot plot data provided, let's summarize the number of students for each value representing hours studied:

- 0 hours: 1 dot (1 student)
- 1 hour: 2 dots (2 students)
- 2 hours: 3 dots (3 students)
- 3 hours: 2 dots (2 students)
- 4 hours: 1 dot (1 student)
- 5 hours: 2 dots (2 students)
- 6 hours: 1 dot (1 student)

Now, we can calculate the total number of students:

1 (0 hours) + 2 (1 hour) + 3 (2 hours) + 2 (3 hours) + 1 (4 hours) + 2 (5 hours) + 1 (6 hours) = 12 students.

Now let's evaluate each statement:

1. **Eleven students answered Mr. Chiu’s question.**
- **Incorrect** (Total is 12.)

2. **Twelve students answered Mr. Chiu’s question.**
- **Correct** (Total is 12.)

3. **Three people studied for two hours.**
- **Correct** (There are 3 dots for 2 hours.)

4. **Three people studied for three hours.**
- **Incorrect** (There are 2 dots for 3 hours.)

5. **Everyone who responded studied for at least one hour.**
- **Incorrect** (1 student studied for 0 hours.)

6. **Four people studied for four or more hours.**
- **Incorrect** (1 person studied for 4 hours, 2 studied for 5 hours, and 1 studied for 6 hours; total is 4.)

To summarize, the correct statements are:

- Twelve students answered Mr. Chiu’s question.
- Three people studied for two hours.