AP Statistics 1.8: Constructing Boxplots
Construct a boxplot from the five-number summary, showing quartiles, the median, whiskers, and any observations identified as outliers.
- Syllabus
- Effective Fall 2025
- Course
- AP Statistics
1.8.A—Construct quantitative one-variable graphical representations of summary statistics question 1
The sizes, in square feet, of the 20 rooms in a student residence hall at a certain university are summarized in the following histogram.
Summary statistics for the sizes are given in the following table.
| Mean | Standard Deviation | Min | Q1 | Median | Q3 | Max |
|---|---|---|---|---|---|---|
| 231.4 | 68.12 | 134 | 174 | 253.5 | 292 | 315 |
Determine whether there are potential outliers in the data. Then use the following grid to sketch a boxplot of room size.
Part (b):
The interquartile range is IQR =292-174=118 square feet. There are no potential outliers because the minimum room size of 134 square feet does not fall below Q1−1.5(IQR)=−3 square feet, and the maximum room size of 315 square feet does not exceed Q3+1.5(IQR)=469 square feet.
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