Coefficient of Variation for 9.5, 8.6, 7.7 & 7.5
0.1103 is the CV for dataset 9.5, 8.6, 7.7 & 7.5.
The complete workout with step-by-step calculations for CV of 9.5, 8.6, 7.7 & 7.5 may be helpful for grade school students, beginners or learners to know how to solve the similar worksheet problems. Users may compare the coefficient of variation 0.1103 with CV of different data distributions to identify the best competing surveys or experiments by using this calculator.
Work for CV of 9.5, 8.6, 7.7 & 7.5
The below workout with step by step work or calculation may help grade school students or learners to understand how to find what is the coefficient of variation for the data set 9.5, 8.6, 7.7 & 7.5.
Workout :
step 1 Address the formula, input parameters and values
Input parameters and values
x1 = 9.5, x2 = 8.6, x3 = 7.7 and x4 = 7.5
Number of elements n = 4
Find CV for sample distribution 9.5, 8.6, 7.7 & 7.5
step 2 Find the mean for 9.5, 8.6, 7.7 & 7.5
µ =
n
∑
i = 1
Xin
=(9.5 + 8.6 + 7.7 + 7.5)/4
µ = 8.325
step 3 Find the standard deviation for 9.5, 8.6, 7.7 & 7.5
=√{ (9.5 - 8.325)² + (8.6 - 8.325)² + (7.7 - 8.325)² + (7.5 - 8.325)²}/3
= √(1.175)² + (0.275)² + (-0.625)² + (-0.825)²/3
= √(1.3806 + 0.0756 + 0.3906 + 0.6806)/3
= √2.5275/3
= √0.8425
σ = 0.9179
step 4 Apply standard deviation and mean values in the below coefficient of variation formula
CV =σ/µ
= 0.9179/8.325
= 0.1103
For the sample distribution 9.5, 8.6, 7.7 & 7.5
8.325 is the mean
0.9179 is the standard deviation
0.1103 is the coefficient of variation
