Box and Whisker Plots

Median

100

Find the median of the following data: 3, 5, 6, 8, 10

6

200

Find the median of the set of data: 10, 5, 9, 8, 3

8 (In order from least to greatest: 3, 5, 8, 9, 10)

300

Where can you find the median on a box and whisker plot?

The line in the middle of the box

400

Find the Median of the data:

04 86 31 13 23 44 93 13 42 51 16 17 29 62 08 59 41

What is 31?

500

Find the median of the following data: 20, 16, 12, 10, 16, 10, 8, 7

11 (Least to greatest: 7, 8, 10, 10, 12, 16, 20, 26)

Lower Quartile

100

Find the lower quartile of the data: 3, 6, 8, 9, 10, 12

6

200

What is the lower quartile?

The median of the lower half of data (halfway between the minimum and median)

300

Find the lower quartile of the following data: 10, 12, 8, 13, 6, 10, 16

8 (Least to greatest: 6, 8, 10, 10, 12, 13, 16)

400

Find the Lower Quartile of the data:

04 86 31 13 23 44 93 13 42 51 16 17 29 62 08 59 41

What is 14.5?

500

Find the lower quartile of the data: 4, 5, 2, 10, 3, 9, 5, 3, 8, 5, 6

3 (Least to greatest: 2, 3, 3, 4, 5, 5, 5, 6, 8, 9, 10)

Upper Quartile

100

Find the upper quartile of the data: 3, 6, 8, 9, 10, 12

10

200

What is the upper quartile?

The median of the upper half of data (halfway between the maximum and median)

300

Find the upper quartile of the following data: 10, 12, 8, 13, 6, 10, 16

13 (Least to greatest: 6, 8, 10, 10, 12, 13, 16)

400

Where can you find the upper quartile on a box and whisker plot?

The line on the right edge of the box

500

Find the upper quartile of the data: 4, 5, 2, 10, 3, 9, 5, 3, 8, 5, 6

8 (Least to greatest: 2, 3, 3, 4, 5, 5, 5, 6, 8, 9, 10)

Range

100

Find the range of the data: 3, 6, 8, 9, 10, 12

9

200

What is the range?

The difference between the highest and lowest values (spread of data)

300

How do you find the range of a set of data?

Maximum - minimum

400

What is the interquartile range?

The difference between the lower and upper quartiles (UQ - LQ)

500

Find the interquartile range of the data: 4, 5, 2, 10, 3, 9, 5, 3, 8, 5, 6

5 (Least to greatest: 2, 3, 3, 4, 5, 5, 5, 6, 8, 9, 10; UQ = 8, LQ = 3)

Maximum and Minimum

100

Find the Maximum and Minimum of the data: 3, 6, 8, 9, 10, 12

3 and 12

200

Find the Maximum and Minimum of the data: 

69 56 30 32 66 79 55 24 80

80 and 24

300

Find the Maximum and Minimum of the data:

35 10 98 92 92 88 82 13

98 and 10

400

Find the Maximum and Minimum of the data:

04 86 31 13 23 44 93 13 42 51 16 17 29 62 08 59 41

93 and 04

500

Find the Maximum and Minimum of the data:

15 29 16 52 56 43 26 22 08 62 37 77 13 10 2 18 31 19 32 85 31 94 81 43 31 58 33 51

94 and 2