Question
Analyzing Histograms
A histogram titled Number of texts has time on the x-axis and texts on the y-axis. From 6 a m to 8 a m there were 15 texts, 8 to10 a m: 5, 10 a m to 12 p m: 0, 12 p m to 2 p m: 0, 2 p m to 4 p m: 0, 4 to 6 p m: 29, 6 to 8 p m: 19, 8 to 9 p m, 14, 10 p m to 12 a m: 5.
Which statements are true given the histogram? Check all that apply.
The histogram is symmetrical.
The histogram is evenly distributed.
The cluster from 4 p.m.–10 p.m. means that most of the texts were sent in the afternoon and evening.
More texts were sent from 6 p.m.–8 p.m. than from 8 p.m.–10 p.m.
The peak from 4 p.m.–6 p.m. means that the highest number of texts was sent during this interval.
A histogram titled Number of texts has time on the x-axis and texts on the y-axis. From 6 a m to 8 a m there were 15 texts, 8 to10 a m: 5, 10 a m to 12 p m: 0, 12 p m to 2 p m: 0, 2 p m to 4 p m: 0, 4 to 6 p m: 29, 6 to 8 p m: 19, 8 to 9 p m, 14, 10 p m to 12 a m: 5.
Which statements are true given the histogram? Check all that apply.
The histogram is symmetrical.
The histogram is evenly distributed.
The cluster from 4 p.m.–10 p.m. means that most of the texts were sent in the afternoon and evening.
More texts were sent from 6 p.m.–8 p.m. than from 8 p.m.–10 p.m.
The peak from 4 p.m.–6 p.m. means that the highest number of texts was sent during this interval.
Answers
GPT-4o mini
Based on the data provided for the histogram titled "Number of texts," let's analyze each statement:
1. **The histogram is symmetrical.**
- **False.** The histogram is not symmetrical; it has a clear skewness with higher frequencies in the early morning and late afternoon/evening.
2. **The histogram is evenly distributed.**
- **False.** The distribution of texts is not even, as certain time intervals (like 6 a.m.-8 a.m. and 4 p.m.-6 p.m.) have significantly more texts compared to others (like 10 a.m.-2 p.m. and 12 p.m.-2 p.m.).
3. **The cluster from 4 p.m.–10 p.m. means that most of the texts were sent in the afternoon and evening.**
- **True.** Most texts were indeed sent during the 4 p.m.-8 p.m. and 8 p.m.-10 p.m. intervals, indicating a cluster in the afternoon and evening.
4. **More texts were sent from 6 p.m.–8 p.m. than from 8 p.m.–10 p.m.**
- **True.** The interval from 6 p.m.–8 p.m. had 19 texts, while the interval from 8 p.m.–10 p.m. had 14 texts, indicating that more texts were sent during the earlier evening time.
5. **The peak from 4 p.m.–6 p.m. means that the highest number of texts was sent during this interval.**
- **True.** The interval from 4 p.m.-6 p.m. had 29 texts, which is indeed the highest count compared to any other intervals.
Therefore, the true statements are:
- The cluster from 4 p.m.–10 p.m. means that most of the texts were sent in the afternoon and evening.
- More texts were sent from 6 p.m.–8 p.m. than from 8 p.m.–10 p.m.
- The peak from 4 p.m.–6 p.m. means that the highest number of texts was sent during this interval.
1. **The histogram is symmetrical.**
- **False.** The histogram is not symmetrical; it has a clear skewness with higher frequencies in the early morning and late afternoon/evening.
2. **The histogram is evenly distributed.**
- **False.** The distribution of texts is not even, as certain time intervals (like 6 a.m.-8 a.m. and 4 p.m.-6 p.m.) have significantly more texts compared to others (like 10 a.m.-2 p.m. and 12 p.m.-2 p.m.).
3. **The cluster from 4 p.m.–10 p.m. means that most of the texts were sent in the afternoon and evening.**
- **True.** Most texts were indeed sent during the 4 p.m.-8 p.m. and 8 p.m.-10 p.m. intervals, indicating a cluster in the afternoon and evening.
4. **More texts were sent from 6 p.m.–8 p.m. than from 8 p.m.–10 p.m.**
- **True.** The interval from 6 p.m.–8 p.m. had 19 texts, while the interval from 8 p.m.–10 p.m. had 14 texts, indicating that more texts were sent during the earlier evening time.
5. **The peak from 4 p.m.–6 p.m. means that the highest number of texts was sent during this interval.**
- **True.** The interval from 4 p.m.-6 p.m. had 29 texts, which is indeed the highest count compared to any other intervals.
Therefore, the true statements are:
- The cluster from 4 p.m.–10 p.m. means that most of the texts were sent in the afternoon and evening.
- More texts were sent from 6 p.m.–8 p.m. than from 8 p.m.–10 p.m.
- The peak from 4 p.m.–6 p.m. means that the highest number of texts was sent during this interval.