1. Example 1 Find Measures of Central Tendency
Example 2 Using Appropriate Measures
Example 3 Using Appropriate Measures
Lesson 4 Contents

2. Median Arrange the numbers in order from least to greatest.
Find the mean, median, and mode of the set of data. 4, 16, 32, 19, 27, 32
Mean
Median Arrange the numbers in order from least to greatest.
Mode The data has a mode of 32.
Answer: mean: 21.7; median: 23; mode: 32
Example 4-1a

3. Find the mean, median, and mode of the set of data. 3, 5, 3, 7, 6, 4
Answer: mean: 4.7; median: 4.5; mode: 3
Example 4-1b

4. Gold Medals Won by the United States at the Winter Olympics, 1924-2002
OLYMPICS What is the mean, median, and mode of the data in the table below?
Gold Medals Won by the United States at the Winter Olympics,
Event
Gold Medals
Alpine skiing 10
Luge 2
Bobsleigh 6
Short track speed skating 3
Cross country
Skeleton
Figure skating 13
Ski jumping
Freestyle skiing 4
Snowboarding
Ice hockey
Speed skating 26
Example 4-2a

5. Median Arrange the numbers from least to greatest.
Mean
The mean is 6 medals.
Median Arrange the numbers from least to greatest.
0, 0, 2, 2, 3, 3, 3, 4, 6, 10, 13, 26
The median is the middle number or 3 medals.
Mode There is one mode, 3.
Answer: mean: 6; median: 3; mode: 3
Example 4-2a

6. Answer: mean: 175.25; median: 119; mode: 12
OLYMPICS What is the mean, median, and mode of the data in the table at the right? 12
Ethiopia
Brazil 74
Romania 97
Japan
101
Finland
102
Australia
150
Hungary
136
Sweden
179
Italy
188
France
180
Great Britain
872
United States
Gold Medals ( Summer)
Country
Source: infoplease.com
Answer: mean: ; median: 119; mode: 12
Example 4-2b

7. Gold Medals Won by the United States at the Winter Olympics, 1924-2002
OLYMPICS Which measure of central tendency is most representative of the data in the table below?
Gold Medals Won by the United States at the Winter Olympics,
Event
Gold Medals
Alpine skiing 10
Luge 2
Bobsleigh 6
Short track speed skating 3
Cross country
Skeleton
Figure skating 13
Ski jumping
Freestyle skiing 4
Snowboarding
Ice hockey
Speed skating 26
Example 4-3a

8. Answer: The median and the mode; the mean is
Answer: The median and the mode; the mean is affected by the extreme value of 26. The mode is the same as the median. So, both the median and the mode are good choices.
Example 4-3a

9. Which measure of central tendency is most representative of the data in the table below?12
Ethiopia
Brazil 74
Romania 97
Japan
101
Finland
102
Australia
150
Hungary
136
Sweden
179
Italy
188
France
180
Great Britain
872
United States
Gold Medals ( Summer)
Country
Source: infoplease.com
Answer: The median; the mean is affected by the extreme value of 872 and the mode is much lower than the rest of the data.
Example 4-3b

10. End of Lesson 4