Question

The mean amount of time taken to complete homework each night by 10 students is approximately X minutes with a standard deviation of 7 minutes. Find the coefficient of variation to the nearest 10%.

a) 7%
b) 70%
c) 100%
d) 10%

Answer 1

The coefficient of variation is (7 / X) * 100. To find the coefficient of variation to the nearest 10%, we need to find a value of X that makes the coefficient of variation a whole number when divided by 7. The answer is option b) 70%.

Step-by-step explanation:

The coefficient of variation is a measure of relative variability and is given by the formula:

Coefficient of Variation = (Standard Deviation / Mean) * 100

In this case, the standard deviation is 7 minutes and the mean is X minutes. Thus, the coefficient of variation is (7 / X) * 100.

To find the coefficient of variation to the nearest 10%, we need to find a value of X that makes the coefficient of variation a whole number when divided by 7. That is, we need to find a value of X such that (7 / X) * 100 is a multiple of 10.

For example, if X = 10, then the coefficient of variation is (7 / 10) * 100 = 70%, which is a multiple of 10. Therefore, the answer is option b) 70%.