A group of 15 students were assigned a novel to read during class. The data below represents the number of pages each student read.
8, 8, 10, 11, 12, 12, 13, 14, 16, 16, 18, 18, 18, 20, 24
Which of the following box plots correctly summarizes the data?
A.
The end of the first whisker is at 8, the box starts at 12, the line inside the box is at 16, the box ends at 18, and the end of the second whisker is at 24.
B.
The end of the first whisker is at 8, the box starts at 11, the line inside the box is at 14, the box ends at 18, and the end of the second whisker is at 24.
C.
The end of the first whisker is at 8, the box starts at 11, the line inside the box is at 16, the box ends at 18, and the end of the second whisker is at 24.
D.
The end of the first whisker is at 8, the box starts at 11, the line inside the box is at 14, the box ends at 20, and the end of the second whisker is at 24.
1 answer
The minimum is the smallest value, which is 8.
The first quartile is the median of the lower half of the data, which is 12.
The median is the middle value, or the average of the two middle values if there is an even number of data points. In this case, the median is 14.
The third quartile is the median of the upper half of the data, which is 18.
The maximum is the largest value, which is 24.
Therefore, the correct box plot is option B: The end of the first whisker is at 8, the box starts at 11, the line inside the box is at 14, the box ends at 18, and the end of the second whisker is at 24.