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 dataCV = 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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