The scores of a test are: 20, 30, 40, 50. What is the standard deviation? (2020)

Practice Questions

Q1
The scores of a test are: 20, 30, 40, 50. What is the standard deviation? (2020)
  1. 10
  2. 15
  3. 20
  4. 25

Questions & Step-by-Step Solutions

The scores of a test are: 20, 30, 40, 50. What is the standard deviation? (2020)
  • Step 1: Add all the test scores together: 20 + 30 + 40 + 50.
  • Step 2: Divide the total from Step 1 by the number of scores (4) to find the mean: (20 + 30 + 40 + 50) / 4.
  • Step 3: Subtract the mean from each score to find the difference: 20 - mean, 30 - mean, 40 - mean, 50 - mean.
  • Step 4: Square each of the differences you found in Step 3.
  • Step 5: Add all the squared differences together.
  • Step 6: Divide the total from Step 5 by the number of scores (4) to find the variance.
  • Step 7: Take the square root of the variance from Step 6 to find the standard deviation.
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