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Page 718 #1-6 ANSWERS

Learn to find appropriate measures of central tendency in pre-algebra, including mean, median, and mode. Practice problems included.

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Page 718 #1-6 ANSWERS

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  1. Page 718 #1-6 ANSWERS

  2. Student Learning Goal Chart Lesson Reflection for Chapter 4 Section 3

  3. Pre-Algebra Learning Goal Students will understand collecting, displaying, & analyzing data.

  4. Students will understand collecting, displaying & analyzing data by being able to do the following: • Learn to identify populations & recognize biased samples (4-1) • Learn to organize data in tables and stem-and-leaf plots (4-2) • Learn to find Euler circuits (14-6) • Learn to find and use Hamiltonian circuits (14-7) • Learn to find appropriate measures of central tendency (4-3)

  5. Today’s Learning Goal Assignment Learn to find appropriate measures of central tendency.

  6. Pre-Algebra HW Page 186 #1-7

  7. 4-3 Measures of Central Tendency Warm Up Problem of the Day Lesson Presentation Pre-Algebra

  8. 4-3 Measures of Central Tendency Pre-Algebra 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

  9. 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

  10. Today’s Learning Goal Assignment Learn to find appropriate measures of central tendency.

  11. Vocabulary mean median mode outlier

  12. 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.

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  19. An outlier is a a value much greater or much less than the others in a data set.

  20. 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

  21. 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 =

  22. 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 =

  23. 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 =

  24. 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 =

  25. 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 =

  26. 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

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