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Choose the best average and see how outliers affect it

6th grade (Year 7 in England) · 16 questions · Common Core: 6.SP.B.5.D · England: KS3 Statistics, GCSE Foundation Statistics

Name

Date

Score/ 16

  1. Question 1

    Data: 29, 23, 10, 18, 114. By how much does the mean go down when the outlier 114 is removed? Round to 1 decimal place if needed.

    Answer

  2. Question 2

    Weekly pocket money (in dollars) in a group: 357, 29, 31, 27, 33, 30, 25. Which average best describes a typical amount?

    • A. Mean
    • B. Median
  3. Question 3

    Data: 12, 20, 12, 18, 10, 84. If the outlier 84 is removed, what happens to the mean?

    • A. It increases
    • B. It decreases
    • C. It stays the same
  4. Question 4

    Data: 26, 15, 11, 24, 120. By how much does the mean go down when the outlier 120 is removed? Round to 1 decimal place if needed.

    Answer

  5. Question 5

    Weekly pocket money (in dollars) in a group: 310, 35, 20, 26, 27, 33, 33. Which average best describes a typical amount?

    • A. Mean
    • B. Median
  6. Question 6

    Data: 17, 10, 12, 11, 17, 99. If the outlier 99 is removed, what happens to the mean?

    • A. It increases
    • B. It decreases
    • C. It stays the same
  7. Question 7

    Data: 20, 22, 23, 24, 73. By how much does the mean go down when the outlier 73 is removed? Round to 1 decimal place if needed.

    Answer

  8. Question 8

    Weekly pocket money (in dollars) in a group: 24, 27, 30, 273, 28, 28, 29. Which average best describes a typical amount?

    • A. Mean
    • B. Median
  9. Question 9

    Data: 20, 16, 13, 19, 16, 0. If the outlier 0 is removed, what happens to the mean?

    • A. It increases
    • B. It decreases
    • C. It stays the same
  10. Question 10

    Data: 19, 26, 25, 23, 89. By how much does the mean go down when the outlier 89 is removed? Round to 1 decimal place if needed.

    Answer

  11. Question 11

    Weekly pocket money (in dollars) in a group: 22, 163, 30, 32, 30, 28, 29. Which average best describes a typical amount?

    • A. Mean
    • B. Median
  12. Question 12

    Data: 20, 10, 14, 18, 14, 82. If the outlier 82 is removed, what happens to the mean?

    • A. It increases
    • B. It decreases
    • C. It stays the same
  13. Question 13

    Data: 26, 13, 24, 24, 95. By how much does the mean go down when the outlier 95 is removed? Round to 1 decimal place if needed.

    Answer

  14. Question 14

    Weekly pocket money (in dollars) in a group: 35, 23, 28, 35, 34, 373, 24. Which average best describes a typical amount?

    • A. Mean
    • B. Median
  15. Question 15

    Data: 13, 12, 17, 16, 10, 1. If the outlier 1 is removed, what happens to the mean?

    • A. It increases
    • B. It decreases
    • C. It stays the same
  16. Question 16

    Data: 30, 17, 21, 21, 106. By how much does the mean go down when the outlier 106 is removed? Round to 1 decimal place if needed.

    Answer

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Answer key: Choose the best average and see how outliers affect it

  1. 1. 18.8

  2. 2. B. Median

  3. 3. B. It decreases

  4. 4. 20.2

  5. 5. B. Median

  6. 6. B. It decreases

  7. 7. 10.2

  8. 8. B. Median

  9. 9. A. It increases

  10. 10. 13.2

  11. 11. B. Median

  12. 12. B. It decreases

  13. 13. 14.7

  14. 14. B. Median

  15. 15. A. It increases

  16. 16. 16.8