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Box and Whisker Plot
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Holt CA Course 1 11-3 Box-and-Whisker Plots Box and Whisker Plot Objective Compute the minimum, lower quartile, upper quartile, and the maximum a data set.
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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 - PowerPoint PPT Presentation
Transcript of Box and Whisker Plot
Holt CA Course 1
11-3 Box-and-Whisker Plots
Box and Whisker Plot
Objective
Compute the minimum, lower quartile, upper quartile, and
the maximum a data set.
Holt CA Course 1
11-3 Box-and-Whisker Plots
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
Holt CA Course 1
11-3 Box-and-Whisker Plots
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
Holt CA Course 1
11-3 Box-and-Whisker Plots
1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 13, 14
Holt CA Course 1
11-3 Box-and-Whisker Plots
Median =
Lower Quartile =
Upper Quartile =
Minimum =
Maximum =
1 2 3 4 5 6 7 8 9 10 11 12 13 14
Holt CA Course 1
11-3 Box-and-Whisker Plots
Use the given data to make a box-and-whisker plot. 21, 25, 15, 13, 17, 19, 19, 21
Additional Example 2: Making a Box-and-Whisker Plot
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
lower quartile: = 16 15 + 17
2upper quartile: = 2121 + 21
2median: = 1919 + 19
2
Holt CA Course 1
11-3 Box-and-Whisker Plots
Use the given data to make a box-and-whisker plot.
12 14 16 18 20 22 24 26 28
Step 2. Draw a number line and plot a point above each value from Step 1.
13 15 17 19 19 21 21 25
Additional Example 2 Continued
Holt CA Course 1
11-3 Box-and-Whisker Plots
Use the given data to make a box-and-whisker plot.
12 14 16 18 20 22 24 26 28
Step 3. Draw the box and whiskers.
13 15 17 19 19 21 21 25
Additional Example 2 Continued
Holt CA Course 1
11-3 Box-and-Whisker Plots
23 24 26 29 31 31 33 35
Use the given data to make a box-and-whisker plot.
31, 23, 33, 35, 26, 24, 31, 29
Check It Out! Example 2
Step 1. Order the data from least to greatest. Then find the minimum, lower quartile, median, upper quartile, and maximum.
minimum: 23 maximum: 35
lower quartile: = 25 24 + 26
2upper quartile: = 3231 + 33
2
median: = 3029 + 31
2
Holt CA Course 1
11-3 Box-and-Whisker Plots
Use the given data to make a box-and-whisker plot.
22 24 26 28 30 32 34 36 38
Step 2. Draw a number line and plot a point above each value.
23 24 26 29 31 31 33 35
Check It Out! Example 2 Continued
Holt CA Course 1
11-3 Box-and-Whisker Plots
Step 2. Draw a number line and plot a point above each value.
Use the given data to make a box-and-whisker plot.
22 24 26 28 30 32 34 36 38
Step 3. Draw the box and whiskers.
23 24 26 29 31 31 33 35
Check It Out! Example 2 Continued
Holt CA Course 1
11-3 Box-and-Whisker Plots
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.
Holt CA Course 1
11-3 Box-and-Whisker Plots
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.
Holt CA Course 1
11-3 Box-and-Whisker Plots
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.
Holt CA Course 1
11-3 Box-and-Whisker PlotsCheck It Out! Example 3
Quarter 1 2 3 4
Oakland 3 0 6 12
Tampa Bay 3 17 14 14
These box-and-whisker plots compare the point per quarter at Super Bowl XXXVII.
Oakland
0 3 6 9 12 15 18
Tampa Bay
0 3 6 9 12 15 18
Holt CA Course 1
11-3 Box-and-Whisker Plots
A. Compare the medians and ranges.
Check It Out! Example 3A
The median for Tampa Bay is significantly greater and the range for Tampa Bay is slightly greater.
Oakland
0 3 6 9 12 15 18
Tampa Bay
0 3 6 9 12 15 18
Holt CA Course 1
11-3 Box-and-Whisker Plots
B. Compare the ranges of the middle half of the data for each.
Check It Out! Example 3B
The range of the middle half of the data is greater for Tampa Bay.
Oakland
0 3 6 9 12 15 18
Tampa Bay
0 3 6 9 12 15 18
Holt CA Course 1
11-3 Box-and-Whisker Plots
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 = 2.5; upper = 12
lower = 47; upper = 53
Holt CA Course 1
11-3 Box-and-Whisker Plots
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
78 87 91 94 98
