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# Probability and Statistics

# Box and Whisker Plots Exercises

### Example 1

Draw a box plot for the following set of data. Remember to order the data first, if necessary.

1, 0, 3, 2, 1, 1, 7, 8, 6, 6, 7, 7

### Example 2

Draw a box plot for the following set of data. Remember to order the data first, if necessary.

4.7, 3.8, 3.9, 3.9, 4.6, 4.5, 5

### Example 3

Draw a box plot for the following set of data. Remember to order the data first, if necessary.

90, 77, 79, 60, 87, 87, 80, 80, 83

### Example 4

The box and whisker plot below was drawn using a list of numbers (data). Determine if each statement is definitely true, definitely false, or cannot be determined. If you believe it cannot be determined, cross your arms and pout, to give the impression that you are truly outraged at the lack of information.

- Half the data falls between 1 and 3.
- The number 5 must be in the list of numbers from which this plot was drawn.
- The number 1.5 must be in the list of numbers from which this plot was drawn.

### Example 5

For the following list of numbers, draw a box and whisker plot showing outliers and extreme values:

10, 12, 12, 14, 15, 16, 18, 30

### Example 6

For the following list of numbers, draw a box and whisker plot showing outliers and extreme values:

-6, 4.5, 5.5, 6.5, 8.5, 10, 12, 30

### Example 7

For the following list of numbers, draw a box and whisker plot showing outliers and extreme values:

16, 55, 78, 80, 81, 82, 84, 86, 88, 90, 105