Question
The total number of candy bars sold by each band member is shown in the stem and leaf plot.
Candy Bars Sold
Stem Leaf
1 3 6 6 6 9
2 3 3 4 6 7 9
3 0 0 1 1 3 7
4 1 2 6 6 8 8
1 3 means 13 candy bars
Which two statements are best supported by the data in the stem and leaf plot?
Responses
More than half the band members sold 30 or more candy bars.
More than half the band members sold 30 or more candy bars.
The range of candy bars sold is 35.
The range of candy bars sold is 35.
The band has a total of 48 members.
The band has a total of 48 members.
One band member sold more candy bars than any other band member.
One band member sold more candy bars than any other band member.
Five band members sold more than 40 candy bars.
Candy Bars Sold
Stem Leaf
1 3 6 6 6 9
2 3 3 4 6 7 9
3 0 0 1 1 3 7
4 1 2 6 6 8 8
1 3 means 13 candy bars
Which two statements are best supported by the data in the stem and leaf plot?
Responses
More than half the band members sold 30 or more candy bars.
More than half the band members sold 30 or more candy bars.
The range of candy bars sold is 35.
The range of candy bars sold is 35.
The band has a total of 48 members.
The band has a total of 48 members.
One band member sold more candy bars than any other band member.
One band member sold more candy bars than any other band member.
Five band members sold more than 40 candy bars.
Answers
GPT-4o mini
To analyze the stem and leaf plot, we need to extract the data points represented in it:
- **Stem 1 (10s)**: 13, 16, 16, 16, 19 (5 members)
- **Stem 2 (20s)**: 23, 23, 24, 26, 27, 29 (6 members)
- **Stem 3 (30s)**: 30, 30, 31, 31, 33, 37 (6 members)
- **Stem 4 (40s)**: 41, 42, 46, 46, 48, 48 (6 members)
Now let's analyze the statements:
1. **More than half the band members sold 30 or more candy bars.**
- Members who sold 30 or more: 6 (from the 30s stem) + 6 (from the 40s stem) = 12 members.
- Total number of members = 5 (from stem 1) + 6 (from stem 2) + 6 (from stem 3) + 6 (from stem 4) = 23 members.
- So, more than half (12 out of 23) sold 30 or more candy bars. **(True)**
2. **The range of candy bars sold is 35.**
- Minimum sold = 13 (smallest value) and maximum sold = 48 (largest value).
- Range = Max - Min = 48 - 13 = 35. **(True)**
3. **The band has a total of 48 members.**
- We calculated the total members as 23 (not 48). **(False)**
4. **One band member sold more candy bars than any other band member.**
- The maximum sold is 48, and since it is unique (other members sold 46), this statement is **(True)**.
5. **Five band members sold more than 40 candy bars.**
- Members who sold more than 40: 41, 42, 46, 46, 48. This means only 5 members sold more than 40 candy bars. **(True)**
The two statements best supported by the data in the stem and leaf plot are:
- More than half the band members sold 30 or more candy bars.
- The range of candy bars sold is 35.
Thus, the valid statements are:
- More than half the band members sold 30 or more candy bars.
- The range of candy bars sold is 35.
- **Stem 1 (10s)**: 13, 16, 16, 16, 19 (5 members)
- **Stem 2 (20s)**: 23, 23, 24, 26, 27, 29 (6 members)
- **Stem 3 (30s)**: 30, 30, 31, 31, 33, 37 (6 members)
- **Stem 4 (40s)**: 41, 42, 46, 46, 48, 48 (6 members)
Now let's analyze the statements:
1. **More than half the band members sold 30 or more candy bars.**
- Members who sold 30 or more: 6 (from the 30s stem) + 6 (from the 40s stem) = 12 members.
- Total number of members = 5 (from stem 1) + 6 (from stem 2) + 6 (from stem 3) + 6 (from stem 4) = 23 members.
- So, more than half (12 out of 23) sold 30 or more candy bars. **(True)**
2. **The range of candy bars sold is 35.**
- Minimum sold = 13 (smallest value) and maximum sold = 48 (largest value).
- Range = Max - Min = 48 - 13 = 35. **(True)**
3. **The band has a total of 48 members.**
- We calculated the total members as 23 (not 48). **(False)**
4. **One band member sold more candy bars than any other band member.**
- The maximum sold is 48, and since it is unique (other members sold 46), this statement is **(True)**.
5. **Five band members sold more than 40 candy bars.**
- Members who sold more than 40: 41, 42, 46, 46, 48. This means only 5 members sold more than 40 candy bars. **(True)**
The two statements best supported by the data in the stem and leaf plot are:
- More than half the band members sold 30 or more candy bars.
- The range of candy bars sold is 35.
Thus, the valid statements are:
- More than half the band members sold 30 or more candy bars.
- The range of candy bars sold is 35.