If the mean of a data set is 50 and the standard deviation is 10, what is the co

Practice Questions

Q1
If the mean of a data set is 50 and the standard deviation is 10, what is the coefficient of variation?
  1. 20%
  2. 10%
  3. 15%
  4. 25%

Questions & Step-by-Step Solutions

If the mean of a data set is 50 and the standard deviation is 10, what is the coefficient of variation?
  • Step 1: Identify the mean of the data set, which is given as 50.
  • Step 2: Identify the standard deviation of the data set, which is given as 10.
  • Step 3: Use the formula for the coefficient of variation: Coefficient of Variation = (Standard Deviation / Mean) * 100.
  • Step 4: Substitute the values into the formula: Coefficient of Variation = (10 / 50) * 100.
  • Step 5: Calculate the division: 10 divided by 50 equals 0.2.
  • Step 6: Multiply the result by 100: 0.2 * 100 equals 20.
  • Step 7: Conclude that the coefficient of variation is 20%.
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