The weights (in pounds) of a sample of 36 individuals were recorded and the following statistics were calculated.
mean = 160
range = 60
mode = 165
variance = 324
median = 170
The coefficient of variation equals:
a.0.1125% b.11.25% c.203.12% d.0.20312%
Do I have to find the standard deviation to calculate this?
11.25%
Yes, in order to calculate the coefficient of variation, you need to find the standard deviation. The formula for the coefficient of variation is:
Coefficient of Variation = (Standard Deviation / Mean) * 100
To find the standard deviation, you can use the formula:
Standard Deviation = sqrt(Variance)
Given that the variance is 324, you can find the standard deviation by taking the square root of 324, which is 18.
Now, plug the values into the formula for the coefficient of variation:
Coefficient of Variation = (18 / 160) * 100
Simplifying this expression, you get:
Coefficient of Variation = 0.1125 * 100
Therefore, the coefficient of variation equals 11.25%, which corresponds to option (b).