Box and whisker plot
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Box and Whisker Plot. Objective Compute the minimum, lower quartile, upper quartile, and the maximum a data set. Steps. 1. Numerical Order 2. Find the median 3. Find Lower Quartile (left median) 4. Find Upper Quartile (right median) 5. Draw number line

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Box and Whisker Plot

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Box and whisker plot

Box and Whisker Plot

Objective

Compute the minimum, lower quartile, upper quartile, and the maximum

a data set.


Steps

Steps

  • 1. Numerical Order

  • 2. Find the median

  • 3. Find Lower Quartile (left median)

  • 4. Find Upper Quartile (right median)

  • 5. Draw number line

  • 6. Plot Lower & Upper Quartile, Median, Minimum & Maximum


Order numbers

Order numbers

3, 5, 4, 2, 1, 6, 8, 11, 14, 13, 6, 9, 10, 7

  • First, order your numbers from least to greatest:

    1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14


Box and whisker plot

1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14


Box and whisker plot

Median =

Lower Quartile =

Upper Quartile =

Minimum =

Maximum =

1 2 3 4 5 6 7 8 9 10 11 12 13 14


Box and whisker plot

15 + 17

2

21 + 21

2

upper quartile: = 21

lower quartile: = 16

19 + 19

2

median: = 19

Additional Example 2: Making a Box-and-Whisker Plot

Use the given data to make a box-and-whisker plot.

21, 25, 15, 13, 17, 19, 19, 21

Step 1. Order the data from least to greatest. Then find the minimum, lower quartile, median, upper quartile, and maximum.

13 15 17 19 19 21 21 25

minimum: 13

maximum: 25


Box and whisker plot

12 14 16 18 20 22 24 26 28

Additional Example 2 Continued

Use the given data to make a box-and-whisker plot.

Step 2. Draw a number line and plot a point above each value from Step 1.

13 15 17 19 19 21 21 25


Box and whisker plot

12 14 16 18 20 22 24 26 28

Additional Example 2 Continued

Use the given data to make a box-and-whisker plot.

Step 3. Draw the box and whiskers.

13 15 17 19 19 21 21 25


Box and whisker plot

31 + 33

2

24 + 26

2

upper quartile: = 32

lower quartile: = 25

29 + 31

2

median: = 30

Check It Out! Example 2

Use the given data to make a box-and-whisker plot.

31, 23, 33, 35, 26, 24, 31, 29

Step 1. Order the data from least to greatest. Then find the minimum, lower quartile, median, upper quartile, and maximum.

23 24 26 29 31 31 33 35

minimum: 23

maximum: 35


Box and whisker plot

22 24 26 28 30 32 34 36 38

Check It Out! Example 2 Continued

Use the given data to make a box-and-whisker plot.

Step 2. Draw a number line and plot a point above each value.

23 24 26 29 31 31 33 35


Box and whisker plot

22 24 26 28 30 32 34 36 38

Check It Out! Example 2 Continued

Use the given data to make a box-and-whisker plot.

Step 3. Draw the box and whiskers.

Step 2. Draw a number line and plot a point above each value.

23 24 26 29 31 31 33 35


Box and whisker plot

Additional Example 3: Comparing Data Sets Using Box-and-Whisker Plots

These box-and-whisker plots compare the ages of the first ten U.S. presidents with the ages of the last ten presidents (through George W. Bush) when they took office.


Box and whisker plot

Additional Example 3 Continued

A. Compare the medians and ranges.

The median for the first ten presidents is slightly greater. The range for the last ten presidents is greater.


Box and whisker plot

Additional Example 3 Continued

B. Compare the ranges of the middle half of the data for each.

The range of the middle half of the data is greater for the last ten presidents.


Box and whisker plot

Oakland

0 3 6 9 12 15 18

Tampa Bay

0 3 6 9 12 15 18

Check It Out! Example 3

These box-and-whisker plots compare the point per quarter at Super Bowl XXXVII.


Box and whisker plot

Oakland

0 3 6 9 12 15 18

Tampa Bay

0 3 6 9 12 15 18

Check It Out! Example 3A

A. Compare the medians and ranges.

The median for Tampa Bay is significantly greater and the range for Tampa Bay is slightly greater.


Box and whisker plot

Oakland

0 3 6 9 12 15 18

Tampa Bay

0 3 6 9 12 15 18

Check It Out! Example 3B

B. Compare the ranges of the middle half of the data for each.

The range of the middle half of the data is greater for Tampa Bay.


Box and whisker plot

Lesson Quiz: Part I

Find the lower and upper quartiles for each data set.

1. 48, 52, 68, 32, 53, 47, 51

2. 3, 18, 11, 2, 7, 5, 9, 6, 13, 1, 17, 8, 0

lower = 47; upper = 53

lower = 2.5; upper = 12


Box and whisker plot

78 87 91 94 98

Lesson Quiz: Part II

Use the following data for problems 3 and 4. 91, 87, 98, 93, 89, 78, 94

3. Make a box-and-whisker plot.

4. What is the median and range of the data?

91; 20


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