Question

If the mean of a collection of data is 13 and standard deviation is 5.2 then the coefficient of variation of the same data is????

Answer 1

Answer:

The most important of all the relative measures of dispersion is the coefficient of variation. This word is variation not variance. There is no such thing as coefficient of variance. The coefficient of variation (C.V) is defined as:

(C.V)=SX¯¯¯¯×100

Step-by-step explanation:

For example the standard deviation is the square root from the variance and in this case for the five values: 4, 36, 45, 50, 75 is to be calculated as: N=5 and the mean for x= 42

Xi

Xi-X

(Xi-X)2

4

-38

1444

36

-6

36

45

3

9

50

8

64

75

33

1089

∑Xi= 210

∑(Xi-X)2=   2642