There are multiple correct box plots that could summarize the data, as long as they are constructed correctly. However, we can assume that the "correct" box plot is the one that accurately represents the minimum, lower quartile, median, upper quartile, and maximum values of the data set.
The minimum value is 8 pages, the lower quartile is 12 pages, the median is 14 pages, the upper quartile is 18 pages, and the maximum value is 24 pages.
One possible correct box plot description could be as follows:
-The minimum is represented by a line segment at 8 pages, as the minimum value is 8.
-The lower quartile is represented by a box starting at 12 pages and ending at 13 pages, as the lower quartile is between the 12th and 13th values in the data set.
-The median is represented by a line segment at 14 pages, as the median is the value between the 7th and 8th values in the data set.
-The upper quartile is represented by a box starting at 16 pages and ending at 18 pages, as the upper quartile is between the 9th and 12th values in the data set.
-The maximum is represented by a line segment at 24 pages, as the maximum value is 24.
Therefore, any box plot that accurately represents these values is correct.
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?
1 answer
1 answer