Exercises on Measures of Dispersion and Position.

1. Given the data set {1, 4, 5, 9, 9, 10, 7, 1, 5}, identify the range.

  The range is 0.
  The range is 9.
  The range is 10.
  The range does not exist.

2. The data set {3, 1, 5, 3, 7, 3, 7, 2, 8, 4, 10, 2, 3, 2, 5, 4}, represents a partial list of baseball scores for all games played on Monday, July 22, 1997. Identify the standard deviation of the number of runs scored that day.
  The standard deviation is 2.6.
  The standard deviation is 2.5.
  The standard deviation is 6.1.
  The standard deviation is does not exist.

3. Given the data set of baseball scores above, identify the variance.

  The variance is 2.6.
  The variance is 2.5.
  The variance is 6.4.
  The variance does not exist.

4. My Quick Basic class one semester had a final exam average of 63.4 and a standard deviation of 26.1. How many standard deviations from the mean is a final exam score of 85?

  0.658 from the mean.
  -0.658 from the mean.
  0.828 from the mean.
  -0.828 from the mean.

5. I taught two Statistics classes last semester, a day and an evening section. On the first exam, the day class had a mean of 72 and a standard deviation of 10. The evening class had a mean of 76 and a standard deviation of 12. If a day student received a score of 80 and an evening student received a score of 82. Which student did better relative to his/her class?

  The day student.
  The evening student.
  They performed about the same.
  The answer cannot be determined from the infromation given.