Ms. Coleman asked her students how many books each had read last summer. The smallest response was books, and the largest was books. The table gives the mean, median, range, and interquartile range (IQR) of the data set.
Summary values
Mean Median Range IQR
(a)Select the best description of spread for the data set.
We can tell by the median that the difference between the largest and smallest number of books read is .
We can tell by the number of students in the class that the difference between the largest and smallest number of books read is .
We can tell by the range that the difference between the largest and smallest number of books read is .
(b)Select the best description of center for the data set.
The "average" number of books read was about , which is the number of students in the class.
The "average" number of books read was about or , based on the mean and median.
The "average" number of books read was about to , based on the IQR and range.
(c)Select the graph with the shape that best fits the summary values.
Graph (The data set is not symmetric.) Graph (The data set is symmetric.)
Number of students
Number of students