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Splash Screen. Five-Minute Check (over Lesson 8–2) Main Idea and Vocabulary Example 1: Display Data in a Stem-and-Leaf Plot Example 2: Describe Data Example 3: Effect of Outliers. Lesson Menu. Display and analyze data in a stem-and-leaf plot. stem-and-leaf plot. leaf stem.

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 8–2) Main Idea and Vocabulary Example 1: Display Data in a Stem-and-Leaf Plot Example 2: Describe Data Example 3: Effect of Outliers Lesson Menu

  3. Display and analyze data in a stem-and-leaf plot. • stem-and-leaf plot • leaf • stem Main Idea/Vocabulary

  4. Source: baberuth.com Display Data in a Stem-and-Leaf Plot BASEBALL The table below shows the number of home runs that Babe Ruth hit during his career from 1914 to 1935. Make a stem-and-leaf plot of the data. Example 1

  5. Display Data in a Stem-and-Leaf Plot Step 1The digits in the least place value will form the leaves and the remaining digits will form the stems. In this data, 0 is the least value, and 60 is the greatest. So, the ones digit will form the leaves, and the tens digit will form the stems. Step 2List the stems 0 to 6 in order from least to greatest in the Stem column. Write the leaves, the ones digits of the home runs, to the right of the corresponding stems. Step 3Order the leaves and write a key that explains how to read the stems and leaves. Example 1

  6. The ones digits of the data form the leaves. A key shows how the digits are related. The tens digits of the data form the stems. Display Data in a Stem-and-Leaf Plot Answer: Example 1

  7. A B C D A.B. C.D. BUSINESS The table shows the number of hours spent aboard an airplane for a survey of business men and women. Make a stem-and-leaf plot of the data. Example 1

  8. Describe Data FITNESS The stem-and-leaf plot below shows the number of miles that Megan biked each day during July. Find the range, median, and mode of the data. Example 2

  9. Describe Data range: greatest distance – least distance = 30 – 5 or 25 miles median: average of middle two values, or 12 miles mode: most frequent value, or 10 miles Answer: range: 25 miles; median: 12 miles; mode: 10 miles Example 2

  10. A B C D SNOWFALL The stem-and-leaf plot below shows the number of inches of snow that fell in Hightown during the month of January for the past 15 years. Find the range, median, and mode. A. range: 25 inches; median: 10 inches; mode: 10 inches B. range: 10 inches; median: 25 inches; mode: 15 inches C. range: 25 inches; median: 14 inches; mode: 10 inches D. range: 23 inches; median: 12 inches; mode: 10 inches Example 2

  11. Effect of Outliers ANIMALSThe average life span of several animal species is shown in the stem-and-leaf plot. Which measure of central tendency is most affected by the inclusion of the outlier? The mode, 20, is not affected by the inclusion of the outlier, 40. Calculate the mean and median each without the outlier, 40. Then calculate them including the outlier and compare. Example 3

  12. Effect of Outliers Example 3

  13. Effect of Outliers The mean increased by 13.8 – 12.4, or 1.4, while the median increased by 15 – 13.5, or 1.5. Answer: So, the median is most affected by the inclusion of the outlier. Example 3

  14. A B C D TEST SCORES The test scores earned by a class of middle school math students on a chapter test are shown. What measure of central tendency is most affected by the inclusion of the outlier? A. mean B. median C. mode D. mean and median Example 3

  15. End of the Lesson End of the Lesson

  16. Five-Minute Check (over Lesson 8–2) Image Bank Math Tools Line Plots Resources

  17. A B C D (over Lesson 8-2) Find the mean, median, and mode for the set of data. Round to the nearest tenth if necessary.13, 17, 11, 12, 20, 14, 18, 16 A. 15; 15.1; none B. 15; 15.1; 15 C. 15; 15; 15.1 D. 15.1; 15; none Five Minute Check 1

  18. A B C D (over Lesson 8-2) Find the mean median and mode for the set of data. Round to the nearest tenth if necessary. 14, 32, 35, 40, 37, 45, 48, 50, 43, 43 A. 38.7; 43; 41.5 B. 38.7; 41.5; 43 C. 43; 38.7; 41.5 D. 43; 41.5; 38.7 Five Minute Check 2

  19. A B C D (over Lesson 8-2) Find the mean, median, and mode for the set of data. Round to the nearest tenth if necessary. 3, 1, 3, 5, 8, 4, 6, 4, 4, 2, 29 A. 4; 6.3; 4 B. 6.3; 4; 6.3 C. 6.3; 4; 4 D. 4; 6.3; 6.3 Five Minute Check 3

  20. A B C D (over Lesson 8-2) Explain which measurement of central tendency best describes the data? 14, 32, 35, 40, 37, 45, 48, 50, 43, 43 A. Mean; because it is easier to find the average of the set of numbers and there are no big gaps in the middle of the data. B. Median; because the data set has outliers and there are no big gaps in the middle of the data. C. Mode; because the data has cluster and there are small gaps in the middle of the data. D. Mean and median decribe the data best. The mode is too high. Five Minute Check 4

  21. A B C D (over Lesson 8-2) The average is another common term for which measurement of central tendency? A. range B. mode C. median D. mean Five Minute Check 5

  22. A B C D (over Lesson 8-2) If the Kentucky State University Orchestra has 42 musicians organized into 7 sections based on types of instruments, what is the mean number of musicians in each section? A. 6 B. 7 C. 8 D. 9 Five Minute Check 6

  23. End of Custom Shows

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