Identify the minimum, first quartile, median, third quartile, and maximum of the data set. Then make a box-and-whisker plot of the data set file sizes (megabytes): 240
177
115
216
153
103
72
To find the minimum, first quartile, median, third quartile, and maximum of the data set, we need to arrange the data set in ascending order.
Data set: 72, 103, 115, 153, 177, 216, 240
Minimum: 72
First Quartile (Q1): Middle value between the minimum value and the median of the data set. In this case, it is between 72 and 153, so Q1 = 115.
Median: The middle value of the data set. In this case, it is 153.
Third Quartile (Q3): Middle value between the median value and the maximum value of the data set. In this case, it is between 153 and 240, so Q3 = 216.
Maximum: 240
Now, let's make a box-and-whisker plot:
-----------------
|---| | |----- -----|-----|-----|
| 72 | 115 | 153 | 216 | 240 |
|---| | |----- -----|-----|-----|
-----------------
In this boxplot, the line inside the box represents the median (153). The lower edge of the box represents Q1 (115), and the upper edge represents Q3 (216). The line extending from the box to the left represents the minimum value (72), and the line extending from the box to the right represents the maximum value (240).