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Splash Screen. Five-Minute Check (over Lesson 11–4) Main Idea and Vocabulary Key Concept: Interquartile Range Example 1: Find Measures of Variation Example 2: Find Outliers Example 3: Use Measures of Variation to Describe Data. Lesson Menu. Review vocabulary: Mean Median Mode Range

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 11–4) Main Idea and Vocabulary Key Concept: Interquartile Range Example 1: Find Measures of Variation Example 2: Find Outliers Example 3: Use Measures of Variation to Describe Data Lesson Menu

  3. Review vocabulary: • Mean • Median • Mode • Range • Write the definitions for these in your own words. Main Idea/Vocabulary

  4. lower quartile: middle number of the lower half of data • upper quartile: middle number of the upper half of data • interquartilerange: difference between the lower quartile and upper quartile • outlier: numbers that are more than 1.5 times the interquartile range below the lower quartile or above the upper quartile Main Idea/Vocabulary

  5. Find Measures of Variation BASKETBALL Find the measures of variation for the data in the table. Range The range is 109 – 91.3 or 17.7 points. Median, Upper Quartile, and Lower Quartile Arrange the numbers in order from least to greatest. Example 1

  6. lower quartile median upper quartile 91.3 91.3 91.6 93.8 95.4 96.1 97.8 101.1 102 109 91.6 101.1 Find Measures of Variation Interquartile Range upper quartile — lower quartile = 101.1 – 91.6 or 9.5 Answer:The median is 95.75, the lower quartile is 91.6, and the upper quartile is 101.1. The interquartile range is 9.5. Example 1

  7. A B C D BASEBALL Find the measures of variation for the data in the table. A.range: 0.269, median: 0.290, upper quartile: 0.471, lower quartile: 0.238,interquartile range: 0.233 B.range: 0.269, median: 0.290, upper quartile: 0.439, lower quartile: 0.244, interquartile range: 0.195 C.range: 0.269, median: 0.304, upper quartile: 0.471, lower quartile: 0.244, interquartile range: 0.227 D.range: 0.279, median: 0.290, upper quartile: 0.471, lower quartile: 0.238, interquartile range: 0.233 Example 1

  8. upper quartile median lower quartile Find Outliers CONCESSION SALES Find any outliers for the data in the table at the right. Example 2

  9. Find Outliers First arrange the numbers in order from least to greatest. 16 18 23 24 32 39 41 46 196 Find the interquartile range. 43.5 – 20.5 or 23 Multiply the interquartile range, 23, by 1.5. 23 × 1.5 = 34.5 Find the limits for the outliers. Example 2

  10. Find Outliers Subtract 34.5 from the lower quartile. 20.5 – 34.5 = –14 Add 34.5 to the upper quartile. 43.5 + 34.5 = 78 Answer: The limits for the outliers are –14 and 78. The only outlier is 196. Example 2

  11. A B C D BOOKSTORE SALESFind any outliers for the data in the table. A. 2 B. 15 C. 35 D. 93 Example 2

  12. Use Measures of Variation to Describe Data ANIMALSUse the measures of variation to describe the data in the table. Find the measures of variation. The range is 70 – 9, or 61. The median is 39.7. The upper quartile is 46.5. The lower quartile is 29.95. The interquartile range is 46.5 – 29.95, or 16.55. Example 3

  13. Use Measures of Variation to Describe Data Answer: The spread of the data is 61 mi/h. The middle number is 39.7 mi/h. One-fourth of the animals have a speed at or below 29.95 mi/h, and one-fourth of the animals have a speed at or above 46.5 mi/h. The speed in miles per hour for half of the animals is in the interval 29.95–46.5. Example 3

  14. A B C D ANIMALSWhich statement does not describe the data in the table at the right. A.The spread of the data is 88 years. B.The middle number is 25 years. C.One-fourth of the animals have a life span at or below 12 years, and one-fourth of the animals have a life span at or above 40 years. D.The life span in years for half of the animals is in the interval 12–40. Example 3

  15. End of the Lesson End of the Lesson

  16. Five-Minute Check (over Lesson 11–4) Image Bank Math Tools Construct a Box-and-Whisker Plot Making Circle Graphs Resources

  17. A B C D (over Lesson 11-4) Find the mean, median, and mode of the following set of data. Round to the nearest tenth if necessary. 4, 2, 5, 4, 7, 4, 1, 5 A. 4; 4; 4 B. 4; 4; 7 C. 4; 5; 4 D. 4; 8; 4 Five Minute Check 1

  18. A B C D (over Lesson 11-4) Find the mean, median, and mode of the following set of data. Round to the nearest tenth if necessary. 17, 21, 15, 18, 21, 18, 23 A. 19; 18; 18 B. 19; 18; 21 C. 19; 18; 15 and 17 D. 19; 18; 18 and 21 Five Minute Check 2

  19. A B C D (over Lesson 11-4) Find the mean, median, and mode of the following set of data. Round to the nearest tenth if necessary. 35, 34, 39, 33, 34 A. 35; 34; 33 B. 35; 34; 34 C. 35; 39; 33 D. 35; 39; 34 Five Minute Check 3

  20. A B C D (over Lesson 11-4) Find the mean, median, and mode of the following set of data. Round to the nearest tenth if necessary. 81, 72, 73, 72, 66, 81 A. 74.2; 72.5; 66 B. 74.2; 72; 81 C. 74.2; 72; 72 and 81 D. 74.2; 72.5; 72 and 81 Five Minute Check 4

  21. A B C D (over Lesson 11-4) Jose has 6 friends of ages 10, 12, 13, 13, 14, and 15. What is the mean age of his friends? A. 12.8 B. 13 C. 13.5 D. 14 Five Minute Check 5

  22. A B C D (over Lesson 11-4) What is the median of the following set of data?40, 50, 52, 33, 34, 37, 37, 43, 47 A. 37 B. 40 C. 40.5 D. 43 Five Minute Check 6

  23. End of Custom Shows

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