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2. B
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(over Lesson 8-2)
A. 15; 15.1; none
B. 15; 15.1; 15
C. 15; 15; 15.1
D. 15.1; 15; none
Find the mean, median, and mode for the set of data. Round to the nearest tenth if necessary.13, 17, 11, 12, 20, 14, 18, 16
Main Idea and Vocabulary
Example 1:Display Data in a Stem-and-Leaf Plot
Example 2:Describe Data
Example 3:Effect of Outliers
• stem-and-leaf plot – data organized from least to greatest
• Leaf – Digits of the least place value
• Stem – next place value digits (not the least)
• Display and analyze data in a stem-and-leaf plot (2.6.8A) (M7.E.2.1.1).
Display Data in a Stem-and-Leaf Plot
BASEBALL The table below shows the number of home runs that Babe Ruth hit during his career from 1914 to 1935. Make a stem-and-leaf plot of the data.
Source: baberuth.com
Display Data in a Stem-and-Leaf Plot
Step 1 The digits in the least place value will form the leaves and the remaining digits will form the stems. In this data, 0 is the least value, and 60 is the greatest. So, the ones digit will form the leaves, and the tens digit will form the stems.
Step 2 List the stems 0 to 6 in order from least to greatest in the Stem column. Write the leaves, the ones digits of the home runs, to the right of the corresponding stems.
Step 3 Order the leaves and write a key that explains how to read the stems and leaves.
Display Data in a Stem-and-Leaf Plot
Answer:
A key shows how the
digits are related.
The ones digits of the
data form the leaves.
The tens digits of the
data form the stems.
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2. B
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BUSINESS The table shows the number of hours spent aboard an airplane for a survey of business men and women. Make a stem-and-leaf plot of the data.
A. B.
C. D.
Describe Data
FITNESS The stem-and-leaf plot below shows the number of miles that Megan biked each day during July. Find the range, median, and mode of the data.
Describe Data
range: greatest distance – least distance = 30 – 5 or 25 miles
median: average of middle two values, or 12 miles
mode: most frequent value, or 10 miles
Answer: range: 25 miles; median: 12 miles; mode: 10 miles
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2. B
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A. range: 25 inches; median: 10 inches; mode: 10 inches
B. range: 10 inches; median: 25 inches; mode: 15 inches
C. range: 25 inches; median: 14 inches; mode: 10 inches
D. range: 23 inches; median: 12 inches; mode: 10 inches
SNOWFALL The stem-and-leaf plot below shows the number of inches of snow that fell in Hightown during the month of January for the past 15 years. Find the range, median, and mode.
Effect of Outliers
ANIMALS The average life span of several animal species is shown in the stem-and-leaf plot. Which measure of central tendency is most affected by the inclusion of the outlier?
The mode, 20, is not affected by the inclusion of the outlier, 40.
Calculate the mean and median each without the outlier, 40. Then calculate them including the outlier and compare.
Effect of Outliers
Effect of Outliers
Answer: So, the median is most affected by the inclusion of the outlier.
The mean increased by 13.8 – 12.4, or 1.4, while the median increased by 15 – 13.5, or 1.5.
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2. B
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TEST SCORES The test scores earned by a class of middle school math students on a chapter test are shown. What measure of central tendency is most affected by the inclusion of the outlier?
A. mean
B. median
C. mode
D. mean and median
1. A
2. B
3. C
4. D
A B C D
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REVIEW
A. 340.5; 358; 64
B. 339.5; 358; 64
C. 358; 339.5; 64
D. 358; 340.5; 64
Find the median, mode, and range for the set of data. 321, 358, 344, 325, 374, 335, 365, 316, 369, 317, 345, 358, 330, 310
End of the Lesson
Five-Minute Check (over Lesson 8–2)
Image Bank
Math Tools
Line Plots
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