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

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. 4 16 19 27 32 32 Mode The data has a mode of 32. Answer: mean: 21.7; median: 23; mode: 32 Example 4-1a

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

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, 1924-2002 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

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

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 (1896-2002 Summer) Country Source: infoplease.com Answer: mean: 175.25; median: 119; mode: 12 Example 4-2b

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, 1924-2002 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

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

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 (1896-2002 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

End of Lesson 4