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Calculating Mean, Median, and Mode: Exercises from Statistics Chapter 8

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This overview presents a series of exercises focusing on fundamental statistical concepts, including the calculations for mean, median, and mode using given datasets. Exercises cover finding the mean of a set of numbers, determining the median from ordered values, and identifying the mode from a list of observations. Additionally, it includes practical scenarios, such as assessing scores needed for academic grades based on mean calculations and analyzing data for eye colors among students. This concise guide reinforces basic statistical skills and applications in real-world contexts.

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Calculating Mean, Median, and Mode: Exercises from Statistics Chapter 8

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  1. Chapter 8 Section 8.1 Exercise #7

  2. 5 8 9 11 12 Find the mean of the set of numbers. 5, 8, 9, 11, 12 = 45  45 5 = 9 The mean is 9.

  3. Chapter 8 Section 8.1 Exercise #13

  4. Find the median of the set of numbers. 23, 24, 27, 31, 36, 38, 41 The median is 31.

  5. Chapter 8 Section 8.1 Exercise #21

  6. Find the mode of the set of numbers. 12, 13, 7, 14, 4, 11, 9 The mode is the item or number that appears most frequently in a set. There is no mode.

  7. Chapter 8 Section 8.1 Exercise #27

  8. = 450 355 ? ? = 450 83 93 88 91 ? – 355 = 450 ? = 95 To get an A in history, you must have a mean of 90 on five tests. Your scores thus far are 83, 93, 88, and 91. How many points must you have on the final test to receive an A? (Hint: First find the total number of points you need to get an A.) x = 450 points 90 points 5 tests You need 95 points on the final test.

  9. Chapter 8 Section 8.1 Exercise #37

  10. hazel: green: brown: blue: The following are eye colors from a class of eight students. Which color is the mode? Hazel, green, brown, brown, blue, green, hazel, green 2 3 2 1 The mode is green.

  11. Chapter 8 Section 8.1 Exercise #55

  12. The revenue for the leading apparel companies in the United States in 1997 is given in the table. What is the mean revenue taken in by these companies?

  13. 9187 5222 2413 3637 2140 1865 1521 1437 1387 9 +  28,809 9 = 3201 28,809 The mean revenue is $3,201,000,000.

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