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Measures of Central Tendency: Learn to Describe Data Sets

This course teaches how to find appropriate measures of central tendency such as mean, median, and mode to describe the middle of a data set. It also covers concepts like outliers and range.

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Measures of Central Tendency: Learn to Describe Data Sets

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  1. 9-3 Measures of Central Tendency Course 3 Warm Up Problem of the Day Lesson Presentation

  2. 9-3 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. 9-3 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. 9-3 Measures of Central Tendency Course 3 Learn to find appropriate measures of central tendency.

  5. 9-3 Measures of Central Tendency Course 3 Insert Lesson Title Here Vocabulary mean median mode range outlier

  6. 9-3 Measures of Central Tendency Course 3 Measure of central tendency are used to describe the middle of a data set. Mean, median, and mode are measure of Central Tendency.

  7. 9-3 Measures of Central Tendency Course 3 An outlier is a value that is either far less than or far greater than the rest of the values in the data.

  8. 9-3 Measures of Central Tendency Course 3 Additional Example 1: Finding Measures of Central Tendency and Range Find the mean, median and the mode of the data set. 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 range: 32 – 21 = 11

  9. 9-3 Measures of Central Tendency Course 3 Check It Out: Example 1 Find the mean, median and the mode of the data set. 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 range: 45 – 22 = 23

  10. 9-3 Measures of Central Tendency Course 3 Additional Example 2A: Choosing the Best Measure of Central Tendency Determine and find the most appropriate measure of central tendency or range for each situation. Justify your answer. Competitors received the following scores for their performance in a gymnastic competition: 9.0, 8.3, 8.5, 9.1, 8.2, 8.9, 8.2, 9.0, 8.8, 8.3, 9.2, 9.0, 8.6. What score occurred most often? Find the mode. List the scores in order. 8.2, 8.2, 8.3, 8.3, 8.5, 8.6, 8.8, 8.9, 9.0, 9.0, 9.0, 9.1, 9.2 Underline the scores that appear more than once. 9.0 appears the most often. The mode is 9.0.

  11. 9-3 Measures of Central Tendency Course 3 Additional Example 2B: Choosing the Best Measure of Central Tendency Determine and find the most appropriate measure of central tendency or range for each situation. Justify your answer. The number of students in the 8th grade science classes are 20, 25, 23, 24, and 27. What number best describes the middle of these class sizes? Find the median. 20, 23, 24, 25, 27 The median number of students in the 8th grade science class is 24.

  12. 9-3 Measures of Central Tendency Course 3 Check It Out: Example 2A Determine and find the most appropriate measure of central tendency or range for each situation. Justify your answer. The ages of the parents of the 8th Grade class are 37, 39, 35, 44, 40, 40, 39, 34, 49, 41, and 42. What number best describes the average age? Find the mean. 37 + 39 + 35 + 44 + 40 + 40 + 39 + 34 + 49 + 41 + 42 = 440 440 10 = 44 The mean age of the parents is 44.

  13. 9-3 Measures of Central Tendency Course 3 Check It Out: Example 2B Determine and find the most appropriate measure of central tendency or range for each situation. Justify your answer. 12 children stood in line at a movie theater. There ages were the following: 7, 9, 11, 12, 11, 10, 13, 8, 7, 9, 11, 8. What age occurred most often? List the scores in order. Find the mode. 7, 7, 8, 9, 9, 10, 11, 11, 11, 12, 13 Underline the scores that appear more than once. 11 appears the most often. The mode is 11.

  14. 9-3 Measures of Central Tendency Course 3 Additional Example 3: Application Employees at a store earned $275, $330, $290, $300, $350, $365, and $310 during one week. What measure of central tendency or range would make the salaries look the highest? Find each measure of central tendency and the range of the data. mean: 275 + 330 + 290 + 300 + 350 + 365 + 310 = 2220 22207 ≈ 317 median: 275 290 300 310 330 350 365 mode: There is no mode. range: 365 – 275 = 90 The mean makes the salaries look the highest.

  15. 9-3 Measures of Central Tendency Course 3 Check It Out: Example 3 Firemen at a local fire station ran 7, 8, 7, 12, 14, 9, and 10 miles in one week. What measure of central tendency or range would make the number of miles ran look the lowest? Find each measure of central tendency and the range of the data. mean: 7 + 8 + 10 + 12 + 14 + 9 + 10 = 70 707 = 10 median: 7 8 9 10 10 12 14 mode: 10 range: 14 – 7 = 7 The range makes the number of miles ran the lowest.

  16. 9-3 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? 5. What is the range of the scores in the Game 2? 187 184 and 162 184.5 58

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