How to Calculate CV Value
- 1). Calculate the average, or arithmetic mean, of the set. For example, the arithmetic mean of (1,2,3,3,4,5) is (1+2+3+3+4+5)/6 = 3.
- 2). Sum the square of the difference between each data point and the population mean.
Continuing with the above example, the result is (1-3)^2 + (2-3)^2 + (3-3)^2 + (3-3)^2 + (4-3)^2 + (5-3)^2 = 4+1+0+0+1+4 = 10. Here, "^2" means the preceding quantity is squared. - 3). Divide the result of Step 2 by the number of elements in the set. Then take the square root. This is the standard deviation of the set.
Continuing with the above example, √[10/6] = 1.29, after rounding. - 4). Divide the result by the mean of the population. This is the CV.
So the CV of the above population is 1.29/3 = 0.43.
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