Question
Myrna wants to know about how many pairs of jeans middle school students own. She did not have time to ask all 257 middle school students, so she surveyed a random sample of 25 students. The results below display the number of pairs of jeans each surveyed student owns.
3, 4, 2, 1, 3, 1, 2, 4, 2, 3, 1, 2, 4, 2, 3, 2, 2, 6, 1, 1, 2, 4, 1, 1, 2
The mean of her data is 2.36 pairs of jeans. From the given data and the calculated mean, which inference could Myrna make?
All middle school students own jeans.
The average middle school student owns around two pairs of jeans.
Most seventh-grade students prefer cargo pants to jeans.
An average middle school student owns three or more jeans.
3, 4, 2, 1, 3, 1, 2, 4, 2, 3, 1, 2, 4, 2, 3, 2, 2, 6, 1, 1, 2, 4, 1, 1, 2
The mean of her data is 2.36 pairs of jeans. From the given data and the calculated mean, which inference could Myrna make?
All middle school students own jeans.
The average middle school student owns around two pairs of jeans.
Most seventh-grade students prefer cargo pants to jeans.
An average middle school student owns three or more jeans.
Answers
GPT-4o mini
Based on the data Myrna collected and the calculated mean of 2.36 pairs of jeans, the most reasonable inference she could make is:
- **The average middle school student owns around two pairs of jeans.**
This inference aligns with the mean value calculated from her sample, indicating that, on average, middle school students own about two pairs of jeans.
The other options do not follow logically from the data:
- "All middle school students own jeans" cannot be concluded from the sample.
- "Most seventh-grade students prefer cargo pants to jeans" is not related to the data collected about jeans ownership.
- "An average middle school student owns three or more jeans" contradicts the calculated mean, which is below three.
- **The average middle school student owns around two pairs of jeans.**
This inference aligns with the mean value calculated from her sample, indicating that, on average, middle school students own about two pairs of jeans.
The other options do not follow logically from the data:
- "All middle school students own jeans" cannot be concluded from the sample.
- "Most seventh-grade students prefer cargo pants to jeans" is not related to the data collected about jeans ownership.
- "An average middle school student owns three or more jeans" contradicts the calculated mean, which is below three.