7.11. Box-and-Whisker Plots http://www.ck12.org
Are there any data values below 0? No, there are no values below 0.
Are there any values above 36.0? Yes, the value of 42 is above 36.0 and is, therefore, an outlier.
Points to Consider
- Are there still other ways to represent data graphically?
- Are there other uses for a box-and-whisker plot?
- Can box-and-whisker plots be used for comparing data sets?
Guided Practice
a. For the following data sets, determine the five-number summaries:
i. 12, 16, 36, 10, 31, 23, 58
ii. 144, 240, 153, 629, 540, 300
b. Use the data set for part i of the previous question and the five-number summary to construct a box-and-whisker
plot to model the data set.
Answer:
a. i. The first step is to organize the values in the data set as shown below:
12 , 16 , 36 , 10 , 31 , 23 , 58
10 , 12 , 16 , 23 , 31 , 36 , 58
Now complete the following list:
Minimum value→ 10
Q 1 → 12
Median→ 23
Q 3 → 36
Maximum value→ 58
ii. The first step is to organize the values in the data set as shown below: