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Question
question 5 of 10
the frequency table shows the results of a survey asking people how many hours they spend online per week. on a piece of paper, draw a histogram to represent the data. then determine which answer choice matches the histogram you drew.
| hours online | frequency |
|---|---|
| 4-7 | 8 |
| 8-11 | 10 |
| 12-15 | 8 |
| 16-19 | 7 |
a. histogram a
b. histogram b
c. histogram c
d. histogram d
Step1: Analyze 0-3 hours
Frequency is 5, so the bar height should match 5 on the y - axis.
Step2: Analyze 4 - 7 hours
Frequency is 8, so the bar height should match 8 on the y - axis.
Step3: Analyze 8 - 11 hours
Frequency is 10, so the bar height should match 10 on the y - axis.
Step4: Analyze 12 - 15 hours
Frequency is 8, so the bar height should match 8 on the y - axis.
Step5: Analyze 16 - 19 hours
Frequency is 7, so the bar height should match 7 on the y - axis.
Now, check each option:
- Option A: 12 - 15 bar height is 8? Wait, no, in A, 12 - 15 and 4 - 7 are same? Wait, no, let's re - check. Wait, 0 - 3:5, 4 - 7:8, 8 - 11:10, 12 - 15:8, 16 - 19:7.
Looking at option D: 0 - 3 (5), 4 - 7 (8), 8 - 11 (10), 12 - 15 (8), 16 - 19 (7). Yes, that matches. Wait, wait, let's check the graphs again. Wait, the y - axis has 0 - 12. Let's check the heights:
- 0 - 3: height up to 5 (correct for frequency 5)
- 4 - 7: height up to 8 (correct for frequency 8)
- 8 - 11: height up to 10 (correct for frequency 10)
- 12 - 15: height up to 8 (correct for frequency 8)
- 16 - 19: height up to 7 (correct for frequency 7)
Looking at the options, option D has these heights. Wait, let's check the options again. Wait, maybe I made a mistake. Wait, the 12 - 15 in option D: is it 8? And 16 - 19 is 7. Yes. Let's check option A: 12 - 15 and 4 - 7 same? No, 4 - 7 is 8, 12 - 15 in A: is it 8? Wait, no, in option A, 12 - 15 and 4 - 7 are same? Wait, the blue bars (maybe the filled ones? Wait, no, the orange and blue? Wait, maybe the non - striped are the ones we need? Wait, no, the histogram has bars for each interval. Let's re - express the frequencies:
Interval 0 - 3: frequency 5
Interval 4 - 7: frequency 8
Interval 8 - 11: frequency 10
Interval 12 - 15: frequency 8
Interval 16 - 19: frequency 7
Now, let's check the height of each bar in the options:
- For 0 - 3: height = 5
- 4 - 7: height = 8
- 8 - 11: height = 10
- 12 - 15: height = 8
- 16 - 19: height = 7
Now, looking at the options:
Option D:
- 0 - 3: height ~5
- 4 - 7: height ~8
- 8 - 11: height ~10
- 12 - 15: height ~8
- 16 - 19: height ~7
Yes, that's correct. So the correct option is D.
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D. Hours online graph (the one labeled D with 0 - 3:5, 4 - 7:8, 8 - 11:10, 12 - 15:8, 16 - 19:7 bar heights)