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Question
question 2 of 10
the frequency table shows the number of hours that students in a class volunteered per month. on a piece of paper, draw a dot plot to represent the data. then determine which answer choice matches the dot plot you drew.
| hours | frequency |
|---|---|
| 6 | 5 |
| 8 | 6 |
| 11 | 4 |
| 13 | 3 |
a. dot plot with dots at 4 (3), 6 (5), 8 (6), 10 (4), 13 (3)
b. dot plot with dots at 3 (5), 5 (3), 8 (6), 11 (4), 13 (2)
c. dot plot with dots at 3 (5), 5 (3), 8 (6), 10 (4), 13 (2)
d. dot plot with dots at 4 (3), 6 (5), 8 (6), 11 (4), 13 (3)
Step1: Analyze each hour's frequency
- For 4 hours: frequency is 3, so 3 dots at 4.
- For 6 hours: frequency is 5, so 5 dots at 6.
- For 8 hours: frequency is 6, so 6 dots at 8.
- For 11 hours: frequency is 4, so 4 dots at 11.
- For 13 hours: frequency is 3, so 3 dots at 13.
Step2: Match with options
- Option A: Check dots at each position. At 4: 3, 6:5, 8:6, 11:4, 13:3. Matches the frequencies.
- Option B: Dots at 3 (incorrect, no 3 in hours), so eliminate.
- Option C: Dots at 3 (incorrect), eliminate.
- Option D: Dots count at some positions don't match (e.g., 13 has 3? Wait, D's 13 has more? Wait no, recheck. Wait A: 4 has 3, 6 has 5, 8 has 6, 11 has 4, 13 has 3. D: 4 has 3, 6 has 5? Wait no, D's 6: let's count. Wait A's 6: 5 dots, D's 6: let's see. Wait A is correct as per step1.
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A. The dot plot with 3 dots at 4, 5 dots at 6, 6 dots at 8, 4 dots at 11, and 3 dots at 13.