Question: Test scores: Scores on a statistics exam had a mean of 71 with a standard deviation of 17…

Test scores: Scores on a statistics exam had a mean of 71 with a standard deviation of 17. 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 8.45.

Part: 1 / 3

Part 2 of 3

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

The coefficient of variation for calculus exam scores is □.

Solution

The task is to compute the coefficient of variation for the calculus exam scores. The formula for the coefficient of variation (CV) is given by: \[ CV = \left(\frac{\text{Standard Deviation}}{\text{Mean}}\right) \times 100 \] For calculus exam scores, the mean is 60, and the standard deviation is 10. Substitute the given values into the formula: \[ CV = \left(\frac{10}{60}\right) \times 100 \] Calculate the fraction: \[ \frac{10}{60} = 0.1667 \] Multiply by 100 to convert to a percentage: \[ 0.1667 \times 100 = 16.67 \] Thus, the coefficient of variation for calculus exam scores is 16.67.