Mr. Kushner's class is selling candles for a class trip. There are 18 students in his class in all. 3 students sell 5 candles. The number of students who sell 6 candles is 2 more than the number who sell 5 candles. 3 students sell 8 candles. 1 student sells 12 candles. The rest of the students sell 9 candles.
The students make a line plot named "Candles Sold." Which of the following is a good scale for their line plot?
A. 1, 2, 3, 4, 5, 6, 7, 8, 9
B. 2, 3, 4, 5, 6, 7, 8, 9, 10
C. 5, 6, 7, 8, 9, 10, 11, 12
D. 6, 7, 8, 9, 10, 11, 12, 13
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To determine the appropriate scale for the line plot, we need to consider the range of values for the number of candles sold by the students.
From the given information, we know that:
- 3 students sell 5 candles
- The number of students who sell 6 candles is 2 more than the number who sell 5 candles (so 3 + 2 = 5 students sell 6 candles)
- 3 students sell 8 candles
- 1 student sells 12 candles
- The rest of the students sell 9 candles (18 - 3 - 5 - 3 - 1 = 6 students)
If we list the number of candles sold by each student:
5, 5, 5, 6, 6, 6, 6, 6, 8, 8, 8, 12, 9, 9, 9, 9, 9, 9
Looking at the range of values, we can see that the minimum number of candles sold is 5, and the maximum number of candles sold is 12.
Now, let's consider the given answer choices:
A. 1, 2, 3, 4, 5, 6, 7, 8, 9
This option is not suitable because it starts at 1, which is below the minimum value of 5.
B. 2, 3, 4, 5, 6, 7, 8, 9, 10
This option is suitable as it covers the range from 5 to 12, which includes all the values in the given data.
C. 5, 6, 7, 8, 9, 10, 11, 12
This option is also suitable as it covers the range from 5 to 12.
D. 6, 7, 8, 9, 10, 11, 12, 13
This option is not necessary because the maximum value in the given data is 12.
Therefore, both answer choices B and C are suitable scales for the line plot in this scenario.
The outlier is probably 12.
Candles sold: 5, 6, 8, 12, several 9s