Question: Test scores: Scores on a statistics exam had a mean of 71 with a standard deviation of 6. Scores on…

Test scores: Scores on a statistics exam had a mean of 71 with a standard deviation of 6. Scores on a calculus exam had a mean of 60 with a standard deviation of 10.

Part: 0 / 3

Part 1 of 3

(a) Compute the coefficient of variation for statistics exam scores. Round the answer to at least two decimal places.

The coefficient of variation for statistics exam scores is \boxed{}.

Solution

To compute the coefficient of variation for statistics exam scores, follow these steps: The formula for the coefficient of variation (CV) is: \[ CV = \left(\frac{\text{Standard Deviation}}{\text{Mean}}\right) \times 100 \] Plug in the values for the statistics exam: Standard deviation = 6 Mean = 71 \[ CV = \left(\frac{6}{71}\right) \times 100 \] Calculate the division: \[ CV = 0.0845 \times 100 \] Multiply by 100 to convert to a percentage: \[ CV = 8.45 \] Thus, the coefficient of variation for the statistics exam scores is 8.45.