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Worksheet

Calculating Standard Deviation

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Show your work for each problem.

  1. 1.
    What is the FIRST step when calculating standard deviation?
    1. a)Square each value
    2. b)Take the square root
    3. c)Find each deviation
    4. d)Find the mean (average)
  2. 2.
    Why do we square the deviations in the standard deviation formula?
    1. a)To make the calculation easier
    2. b)Because that's how the formula works
    3. c)So negative and positive deviations don't cancel out
    4. d)To get larger numbers
  3. 3.
    Find the mean of these values:
  4. 4.
    If the mean is , what is the deviation for the value ?
  5. 5.
    What is ?
  6. 6.
    Which data set has a standard deviation of ZERO?
    1. a)
    2. b)
    3. c)
    4. d)
  7. 7.
    Data: . Mean = . Sum of squared deviations = ?
  8. 8.
    When do you divide by instead of ?
    1. a)When your data is a sample from a larger population
    2. b)When calculating variance
    3. c)When you have more than 10 values
    4. d)When the mean is negative
  9. 9.
    Calculate the variance for: (mean = )
  10. 10.
    Find the standard deviation:
  11. 11.
    Calculate the population standard deviation:
  12. 12.
    If the variance is , what is the standard deviation?
  13. 13.
    You add to every value in a data set. What happens to the standard deviation?
    1. a)It doubles
    2. b)It decreases
    3. c)It stays the same
    4. d)It increases by
  14. 14.
    Calculate the SAMPLE standard deviation for: (use )
  15. 15.
    Quiz scores: . Calculate the population standard deviation.
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/statistics/spread/calculating-standard-deviation