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 statement is best supported by the data in the stem and leaf plot?
Responses
A The number of band members who sold between 10 and 20 candy bars is greater than the number of band members who sold more than 40 candy bars.The number of band members who sold between 10 and 20 candy bars is greater than the number of band members who sold more than 40 candy bars.
B The number of band members who sold more than 30 candy bars is greater than the number of band members who sold fewer than 30 candy bars.The number of band members who sold more than 30 candy bars is greater than the number of band members who sold fewer than 30 candy bars.
C The most common number of candy bars sold is 16.The most common number of candy bars sold is 16.
D The most common number of candy bars sold is 30.
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 statement is best supported by the data in the stem and leaf plot?
Responses
A The number of band members who sold between 10 and 20 candy bars is greater than the number of band members who sold more than 40 candy bars.The number of band members who sold between 10 and 20 candy bars is greater than the number of band members who sold more than 40 candy bars.
B The number of band members who sold more than 30 candy bars is greater than the number of band members who sold fewer than 30 candy bars.The number of band members who sold more than 30 candy bars is greater than the number of band members who sold fewer than 30 candy bars.
C The most common number of candy bars sold is 16.The most common number of candy bars sold is 16.
D The most common number of candy bars sold is 30.
Answers
GPT-4o mini
To evaluate which statement is best supported by the data in the stem and leaf plot, we need to analyze the data carefully:
The stem and leaf plot is as follows:
```
Candy Bars Sold
Stem (10s) Leaf
1 3 6 6 6 9 -> 13, 16, 16, 16, 19
2 3 3 4 6 7 9 -> 23, 23, 24, 26, 27, 29
3 0 0 1 1 3 7 -> 30, 30, 31, 31, 33, 37
4 1 2 6 6 8 8 -> 41, 42, 46, 46, 48, 48
```
Now we can assess each statement:
A. **The number of band members who sold between 10 and 20 candy bars is greater than the number of band members who sold more than 40 candy bars.**
- Candy bars sold between 10 and 20: 5 (13, 16, 16, 16, 19)
- Candy bars sold more than 40: 6 (41, 42, 46, 46, 48, 48)
- This statement is incorrect.
B. **The number of band members who sold more than 30 candy bars is greater than the number of band members who sold fewer than 30 candy bars.**
- Candy bars sold more than 30: 8 (30, 30, 31, 31, 33, 37, 41, 42, 46, 46, 48, 48)
- Candy bars sold fewer than 30: 11 (13, 16, 16, 16, 19, 23, 23, 24, 26, 27, 29)
- This statement is incorrect.
C. **The most common number of candy bars sold is 16.**
- The frequency of each number can be counted:
- 13: 1
- 16: 3 (most common)
- 19: 1
- 23: 2
- 24: 1
- 26: 1
- 27: 1
- 29: 1
- 30: 2
- 31: 2
- 33: 1
- 37: 1
- 41: 1
- 42: 1
- 46: 2
- 48: 2
- This statement is correct.
D. **The most common number of candy bars sold is 30.**
- Based on our previous frequency counts, the most common number sold is 16 (3 occurrences), so this statement is incorrect.
The best-supported statement is:
**C. The most common number of candy bars sold is 16.**
The stem and leaf plot is as follows:
```
Candy Bars Sold
Stem (10s) Leaf
1 3 6 6 6 9 -> 13, 16, 16, 16, 19
2 3 3 4 6 7 9 -> 23, 23, 24, 26, 27, 29
3 0 0 1 1 3 7 -> 30, 30, 31, 31, 33, 37
4 1 2 6 6 8 8 -> 41, 42, 46, 46, 48, 48
```
Now we can assess each statement:
A. **The number of band members who sold between 10 and 20 candy bars is greater than the number of band members who sold more than 40 candy bars.**
- Candy bars sold between 10 and 20: 5 (13, 16, 16, 16, 19)
- Candy bars sold more than 40: 6 (41, 42, 46, 46, 48, 48)
- This statement is incorrect.
B. **The number of band members who sold more than 30 candy bars is greater than the number of band members who sold fewer than 30 candy bars.**
- Candy bars sold more than 30: 8 (30, 30, 31, 31, 33, 37, 41, 42, 46, 46, 48, 48)
- Candy bars sold fewer than 30: 11 (13, 16, 16, 16, 19, 23, 23, 24, 26, 27, 29)
- This statement is incorrect.
C. **The most common number of candy bars sold is 16.**
- The frequency of each number can be counted:
- 13: 1
- 16: 3 (most common)
- 19: 1
- 23: 2
- 24: 1
- 26: 1
- 27: 1
- 29: 1
- 30: 2
- 31: 2
- 33: 1
- 37: 1
- 41: 1
- 42: 1
- 46: 2
- 48: 2
- This statement is correct.
D. **The most common number of candy bars sold is 30.**
- Based on our previous frequency counts, the most common number sold is 16 (3 occurrences), so this statement is incorrect.
The best-supported statement is:
**C. The most common number of candy bars sold is 16.**