AI Tutor
Back to Introductory Statistics 2e

2.6 Skewness and the Mean, Median, and Mode

Reading a distribution's tail off a histogram and predicting the order of the three center measures for symmetric, left-tailed and right-tailed shapes.

Introductory Statistics 2e, 2.6 Skewness and the Mean, Median, and Mode

Status
FlagsLoading your progress…

5 exercises

2.6 Exercise 3

Use the following information to answer the next three exercises: State whether the data are symmetrical, skewed to the left, or skewed to the right.

  1. 1
  2. 1
  3. 1
  4. 2
  5. 2
  6. 2
  7. 2
  8. 3
  9. 3
  10. 3
  11. 3
  12. 3
  13. 3
  14. 3
  15. 3
  16. 4
  17. 4
  18. 4
  19. 5
  20. 5

2.5

2.6 Exercise 5

Use the following information to answer the next three exercises: State whether the data are symmetrical, skewed to the left, or skewed to the right.

  1. 87
  2. 87
  3. 87
  4. 87
  5. 87
  6. 88
  7. 89
  8. 89
  9. 90
  10. 91

2.5

2.6 Exercise 7

Use the following information to answer the next three exercises: State whether the data are symmetrical, skewed to the left, or skewed to the right.

When the data are symmetrical, what is the typical relationship between the mean and median?

2.5

2.6 Exercise 19

Use the following information to answer the next three exercises: State whether the data are symmetrical, skewed to the left, or skewed to the right.

Which is the greatest, the mean, the mode, or the median of the data set?

  1. 11
  2. 11
  3. 12
  4. 12
  5. 12
  6. 12
  7. 13
  8. 15
  9. 17
  10. 22
  11. 22
  12. 22

2.5

2.6 Exercise 21

Use the following information to answer the next three exercises: State whether the data are symmetrical, skewed to the left, or skewed to the right.

Of the three measures, which tends to reflect skewing the most, the mean, the mode, or the median? Why?

2.5

Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.