10.1 Exercises Help with Homework 1. VOCABULARY The key for a stem-and-leaf plot is 3 | 4 = 34. Which number is the stem? Which number is the leaf ? 2. WRITING Describe how to make a stem-and-leaf plot of the data values 14, 22, 9, 13, 30, 8, 25, and 29. 3. WRITING How does a stem-and-leaf plot show the distribution of data? 6)=3 9+(- 3)= 3+(- 9)= 4+(- = 1) 9+(- Make a stem-and-leaf plot of the data. 1 4. 5. Books Read Hours Online 26 15 20 9 8 12 21 14 31 25 29 32 18 6 15 24 17 26 19 40 12 17 2 0 6. 7. Test Scores (%) Points Scored 87 82 95 91 69 58 50 42 71 75 88 68 87 65 81 45 51 43 38 71 97 85 80 90 62 42 70 56 58 43 8. 9. Bikes Sold Minutes in Line 78 112 105 99 4.0 2.6 1.9 3.1 86 96 115 100 3.6 2.2 2.7 3.8 79 81 99 108 1.6 2.0 3.1 2.9 10. ERROR ANALYSIS Describe and correct the error in making a stem-and-leaf plot of the data. 51, 25, 47, 42, 55, 26, 50, 44, 55 ✗ Stem 2 4 5 Leaf 5 6 2 4 7 0 1 5 5 Key: 4 2 = 42 11. PUPPIES The weights (in pounds) of eight puppies at a pet store are 12, 24, 17, 8, 18, 31, 24, and 15. Make a stem-and-leaf plot of the data. Describe the distribution of the data. 438 Chapter 10 Data Displays VOLLEYBALL The stem-and-leaf plot shows the number of digs for the top 15 players at a volleyball tournament. Stem 4 5 6 7 8 9 2 12. How many players had more than 60 digs? 13. Find the mean, median, mode, range, and interquartile range of the data. 14. Describe the distribution of the data. Leaf 1 1 3 3 5 0 2 3 4 2 3 3 7 5 7 Key: 5 | 0 = 50 digs 15. Which data value is the outlier? Describe how the outlier affects the mean. 16. REASONING Each stem-and-leaf plot below has a mean of 39. Without calculating, determine which stem-and-leaf plot has the lesser mean absolute deviation. Explain your reasoning. Stem 2 3 4 5 Leaf 3 0 1 1 Stem 7 2 6 9 2 5 8 4 2 3 4 5 Key: 4 | 1 = 41 Leaf 2 4 5 8 9 3 8 5 3 6 7 8 Key: 5 | 3 = 53 17. TEMPERATURE The stem-and-leaf plot shows the daily high temperatures (in degrees Fahrenheit) for the first 15 days of a month. Stem 6 7 8 a. Find and interpret the mean absolute deviation of the data. Leaf 7 8 0 0 3 4 6 8 9 2 3 6 7 8 9 Key: 6 | 7 = 67°F b. After you include the daily high temperatures for the rest of the month in the stem-and-leaf plot, the mean absolute deviation increases. Where do you think most of the data values for the rest of the month are located in the stem-and-leaf plot? Explain. 18. Rich Will The back-to-back stem-and-leaf plot shows the 9-hole golf scores for two golfers. Only 7 5 3 one of the golfers can compete in a tournament. 8 5 4 3 2 1 4 2 3 4 4 6 7 7 8 9 Use measures of center and measures of variation 5 0 5 0 to give reasons why you would choose each golfer. Key: 1 | 4 | 2 = 41 and 42 strokes Draw the solid. (Section 8.1) 19. square pyramid 20. hexagonal prism 21. MULTIPLE CHOICE In a bar graph, what determines the length of each bar? (Skills Review Handbook) A frequency ○ B data value ○ C leaf ○ Section 10.1 D change in data ○ Stem-and-Leaf Plots 439
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