Variance coefficient Formula

The coefficient of variance is the ratio between standard deviation and the mean of a data and expressed in%.

Variance coefficient Formula

CV = (S/x̄) x 100%

Information :

S = Standard deviation

x̄ = Mean of data
CV = Coefficient of variance

Example :

The average fluorescent lamp can be used for 2,800 hours with standard deviation of 700 hours, while the incandescent lamp can be used on average for 3,500 hours with standard deviation of 1,050 hours. from which data is better ?

Answer :

1. Variance coefficient of fluorescent lamp usage is :

S = 700

x̄ = 2,800

CV = (S/x̄) x 100%

CV = (700/2,800) x 100%

CV = (1/4) x 100%

CV = 0.25 x 100%

CV = 25%

2. Variance coefficient of incandescent lamp usage is :

S = 1,050

x̄ = 3,500

CV = (S/x̄) x 100%

CV = (1,050/3,500) x 100%

CV = 0.3 x 100%

CV = 30%

From the calculation of the coefficient of variance, the fluorescent lamp is better than the incandescent lamp, because the larger KV fluorescent lamps are KV incandescent.

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