In a data set, the mean is 10 and the standard deviation is 2. What is the coeff

Practice Questions

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

Questions & Step-by-Step Solutions

In a data set, the mean is 10 and the standard deviation is 2. What is the coefficient of variation?
  • Step 1: Identify the mean of the data set, which is given as 10.
  • Step 2: Identify the standard deviation of the data set, which is given as 2.
  • 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 = (2 / 10) * 100.
  • Step 5: Calculate the division: 2 divided by 10 equals 0.2.
  • Step 6: Multiply 0.2 by 100 to get the final result: 0.2 * 100 = 20.
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