Question
Statistics Unit Test
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Question
Akeem surveys the students in his dance class to find out their favorite dance styles. He finds that 7 people prefer hip-hop, 10 prefer ballroom, and 8 prefer ballet. He makes a percent bar graph to summarize the data. Which shows the bar graph he makes?(1 point)
Responses
A bar graph illustration shows a horizontal axis with the terms hip-hop, ballroom, and ballet. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for hip-hop is 28 percent. The value for ballroom is 40 percent. The approximate value for ballet is 32 percent.
Image with alt text: A bar graph illustration shows a horizontal axis with the terms hip-hop, ballroom, and ballet. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for hip-hop is 28 percent. The value for ballroom is 40 percent. The approximate value for ballet is 32 percent.
A bar graph illustration shows a horizontal axis with the terms hip-hop, ballroom, and ballet. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for hip-hop is 32 percent. The value for ballroom is 40 percent. The approximate value for ballet is 32 percent.
Image with alt text: A bar graph illustration shows a horizontal axis with the terms hip-hop, ballroom, and ballet. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for hip-hop is 32 percent. The value for ballroom is 40 percent. The approximate value for ballet is 32 percent.
A bar graph illustration shows a horizontal axis with the terms hip-hop, ballroom, and ballet. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for hip-hop is 28 percent. The value for ballroom is 50 percent. The approximate value for ballet is 32 percent.
Image with alt text: A bar graph illustration shows a horizontal axis with the terms hip-hop, ballroom, and ballet. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for hip-hop is 28 percent. The value for ballroom is 50 percent. The approximate value for ballet is 32 percent.
A bar graph illustration shows a horizontal axis with the terms hip-hop, ballroom, and ballet. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for hip-hop is 28 percent. The approximate value for ballroom is 32 percent. The value for ballet is 40 percent.
Image with alt text: A bar graph illustration shows a horizontal axis with the terms hip-hop, ballroom, and ballet. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for hip-hop is 28 percent. The approximate value for ballroom is 32 percent. The value for ballet is 40 percent.
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Answers
GPT-4o mini
To determine Akeem's favorite dance styles based on the number of people who prefer each style, we first need to calculate the total number of students surveyed and then find the percentages for each dance style.
1. **Total Students Surveyed**:
- Hip-hop: 7
- Ballroom: 10
- Ballet: 8
- **Total = 7 + 10 + 8 = 25**
2. **Calculating Percentages**:
- Hip-hop: \( \frac{7}{25} \times 100 = 28\% \)
- Ballroom: \( \frac{10}{25} \times 100 = 40\% \)
- Ballet: \( \frac{8}{25} \times 100 = 32\% \)
Now that we have the percentages:
- Hip-hop: 28%
- Ballroom: 40%
- Ballet: 32%
With this information, we can evaluate the options for the bar graph:
1. The first response shows:
- Hip-hop: 28%
- Ballroom: 40%
- Ballet: 32%
2. The second response shows:
- Hip-hop: 32%
- Ballroom: 40%
- Ballet: 32%
3. The third response shows:
- Hip-hop: 28%
- Ballroom: 50%
- Ballet: 32%
4. The fourth response shows:
- Hip-hop: 28%
- Ballroom: 32%
- Ballet: 40%
With the calculated values for each dance style, the first response accurately reflects the data:
- **Correct Answer**: The first response shows the correct percentages:
- Hip-hop (28%),
- Ballroom (40%),
- Ballet (32%).
1. **Total Students Surveyed**:
- Hip-hop: 7
- Ballroom: 10
- Ballet: 8
- **Total = 7 + 10 + 8 = 25**
2. **Calculating Percentages**:
- Hip-hop: \( \frac{7}{25} \times 100 = 28\% \)
- Ballroom: \( \frac{10}{25} \times 100 = 40\% \)
- Ballet: \( \frac{8}{25} \times 100 = 32\% \)
Now that we have the percentages:
- Hip-hop: 28%
- Ballroom: 40%
- Ballet: 32%
With this information, we can evaluate the options for the bar graph:
1. The first response shows:
- Hip-hop: 28%
- Ballroom: 40%
- Ballet: 32%
2. The second response shows:
- Hip-hop: 32%
- Ballroom: 40%
- Ballet: 32%
3. The third response shows:
- Hip-hop: 28%
- Ballroom: 50%
- Ballet: 32%
4. The fourth response shows:
- Hip-hop: 28%
- Ballroom: 32%
- Ballet: 40%
With the calculated values for each dance style, the first response accurately reflects the data:
- **Correct Answer**: The first response shows the correct percentages:
- Hip-hop (28%),
- Ballroom (40%),
- Ballet (32%).