In a data set, the mean is 20 and the standard deviation is 4. What is the coeff

Practice Questions

Q1
In a data set, the mean is 20 and the standard deviation is 4. What is the coefficient of variation?
  1. 20%
  2. 15%
  3. 10%
  4. 5%

Questions & Step-by-Step Solutions

In a data set, the mean is 20 and the standard deviation is 4. What is the coefficient of variation?
Correct Answer: 20%
  • Step 1: Identify the mean of the data set, which is given as 20.
  • Step 2: Identify the standard deviation of the data set, which is given as 4.
  • 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 = (4 / 20) * 100.
  • Step 5: Calculate the division: 4 divided by 20 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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