4-3

1. 4-3 Measures of Central Tendency Course 3 Warm Up Problem of the Day Lesson Presentation

2. 4-3 Measures of Central Tendency Course 3 Warm Up Order the values from least to greatest. 1. 9, 4, 8, 7, 6, 8, 5, 3, 7 2. 36, 22, 35, 46, 37, 47, 30 Divide. 3.4. 3, 4, 5, 6, 7, 7, 8, 8, 9 22, 30, 35, 36, 37, 46, 47 1983 5764 144 66

3. 4-3 Measures of Central Tendency Course 3 Problem of the Day A mom buys a white, a green, a blue, and a yellow sweater for her 4 children. Bill and Bob refuse to wear yellow. Barb doesn’t like green, and Beth hates green and white. Mom will not put the boys in white, and Bob wont wear blue. Which sweater will each child wear? Barb:iwhite, Beth:iyellow, Bob:igreen, Bill:iblue

4. 4-3 Measures of Central Tendency Course 3 Learn to find appropriate measures of central tendency.

5. 4-3 Measures of Central Tendency Course 3 Insert Lesson Title Here Vocabulary mean median mode outlier

6. 4-3 Measures of Central Tendency Course 3 A measure of central tendency is an attempt to describe a data set using only one number. This number represents the “middle” of the set.

7. 4-3 Measures of Central Tendency Course 3 Additional Example 1A: Finding Measures of Central Tendency Find the mean, median and the mode of the data set. A. 16, 25, 31, 14, 14, 18 mean: 16 + 25 + 31 + 14 + 14 + 18 = 118 Add the values. 1186  19.67 Divide by 6, the number of values. 14 14 16 18 25 31 Order the values. median: 3 values 3 values 16 + 18 2 Average the two middle values. = 17 The value 14 occurs two times mode: 14

8. 4-3 Measures of Central Tendency Course 3 Additional Example 1B: Finding Measures of Central Tendency Find the mean, median and the mode of the data set. B. 83, 45, 19, 33 mean: 83 + 45 + 19 + 33 = 180 Add the values. 1804 = 45 Divide by 4, the number of values. 19 33 45 83 Order the values. median: 2 values 2 values 33 + 45 2 Average the two middle values. = 39 No value occurs more than any other. mode: No mode

9. 4-3 Measures of Central Tendency Course 3 Additional Example 1C: Finding Measures of Central Tendency Find the mean, median and the mode of the data set. C. 21, 21, 28, 29, 30, 28, 32 Add the values. mean: 21 + 21 + 28 + 29 + 30 + 28 + 32 = 189 1897 = 27 Divide by 7, the number of values. 21 21 28 28 29 30 32 Order the values. median: The median is 28. Two values occur twice. mode: 21,28

10. 4-3 Measures of Central Tendency Course 3 Try This: Example 1A Find the mean, median and the mode of the data set. A. 24, 31, 21, 18, 24, 22 mean: 24 + 31 + 21 + 18 + 24 + 22 = 140 Add the values. 1406  23.33 Divide by 6, the number of values. 18 21 22 24 24 31 Order the values. median: 3 values 3 values 22 + 24 2 Average the two middle values. = 23 The value 24 occurs two times. mode: 24

11. 4-3 Measures of Central Tendency Course 3 Try This: Example 1B Find the mean, median and the mode of the data set. B. 81, 55, 54, 77 mean: 81 + 55 + 54 + 77 = 267 Add the values. 2674 = 66.75 Divide by 4, the number of values. 54 55 77 81 Order the values. median: 2 values 2 values 55 + 77 2 Average the two middle values. = 66 No value occurs more than any other. mode: No mode

12. 4-3 Measures of Central Tendency Course 3 Try This: Example 1C Find the mean, median and the mode of the data set. C. 45, 32, 22, 37, 45, 41, 37 Add the values. mean: 45 + 32 + 22 + 37 + 45 + 41 + 37 = 259 2597 = 37 Divide by 7, the number of values. 22 32 37 37 41 45 45 Order the values. median: The median is 37. Two values occur twice. mode: 37, 45

13. 4-3 Measures of Central Tendency Course 3 An outlier is a a value much greater or much less than the others in a data set.

14. 4-3 Measures of Central Tendency Course 3 Additional Example 2A: Social Studies Application Use the data to find the answer. A. Find the average number of stories for the buildings that have more than 100 stories. Use the mean to answer, "What's the average?" 326 3 114 + 110 + 102 3 =  108.67

15. 4-3 Measures of Central Tendency Course 3 Additional Example 2B: Social Studies Application Use the data to find the answer. B. Find the average number of stories for the buildings in the United States. 369 4 110 + 102 + 80 + 77 4 = 92.25 =

16. 4-3 Measures of Central Tendency Course 3 Additional Example 2C: Social Studies Application Use the data to find the answer. C. Find the average number of stories for all of the buildings in the table. 555 6 114 + 110 + 102 + 72 + 80 + 77 6 = 92.5 =

17. 4-3 Measures of Central Tendency Course 3 Try This: Example 2A Use the data to find the answer. A. Find the average number of cars crossing the borders of states beginning with the letter “A”. Use the mean to answer, "What's the average?" 10,023,7782 119,662 + 9,904,116 2 = 5,011,889 =

18. 4-3 Measures of Central Tendency Course 3 Try This: Example 2B Use the data to find the answer. B. Find the average number of cars crossing the borders of states with fewer than one million crossings. 119,662 + 219,218 + 433,416 3 772,296 3 = 257,432 =

19. 4-3 Measures of Central Tendency Course 3 Try This: Example 2C Use the data to find the answer. C. Find the average number of cars crossing the borders. 119,662 + 9,904,116 + 30,616,346 + 219,218 + 433,416 + 48,707,814 6 90,000,572 6  15,000,095 =

20. 4-3 Measures of Central Tendency Course 3 Insert Lesson Title Here Lesson Quiz Use the data to find each answer. 186 1. What is mean of Brad’s scores? 2. What is the mean of all the scores? 3. What is the mode? 4. What is the median of all the scores? 187 184 and 162 184.5