Question

24,26,33,37,29,31 finds its coefficient of variation
​

Answer 1

Answer:

14.4 %

Step-by-step explanation:

Arranging the coefficient of variation in order

          xi 24,26,29,31,33,37

Xi     di = xi –x            di^2

             = xi-30  

24             -6                 36

26             -4                  16

29             -1                    1

31               1                    1

33              3                   9

37              7                  49

             ∑di = 0             ∑di² = 112

r = ∑di²/n =  √112/6 = √18.67

                                   =4.32

CV = r/x x 100 = 4.32/30 x 100 = 14.4 %

coefficient of variation = 14.4 %

Answer 2

Given : 24,26,33,37,29,31​

To Find  :  coefficient of variation

Solution:

Coefficient of Variation = (Standard deviation /Mean) * 100 %

24,26,33,37,29,31​

Mean = ∑xi/N

N = 6

Mean =  (24 + 26 + 33 + 37 + 29 + 31)/6

= 180/6

= 30

∑ (| xi - Mean)²   =  (36 + 16 + 9 + 49 + 1 + 1)

= 112

SD =√( ∑ (| xi - Mean)²  / N )

= √( 112 / 6 )

= 4.32

Coefficient of Variation = (4.32/30) * 100 %

= 14.4  %

Coefficient of Variation =  = 14.4  %

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