## Statistics Basics

Question

The mean of a distribution is 20 and the standard deviation is 5.
What is the value of the coefficient of variation?

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1 year 43 Answers 1136 views Contributor 0

1. Mean= 20
Standard Deviation= 5
As coeff. of standard variation= standard deviation / mean
= 5 / 20
= 0.4

2. Coefficient of Variation = (Standard Deviation ÷ Mean)
= (5÷20)
CV = .25

3. Coefficient of Variation = (Standard Deviation ÷ Mean)
= (5÷20)
CV = .25

4. Sorry it a private answer.

5. Coefficient of Variation = (Standard Deviation ÷ Mean)
= (5÷20)
Coefficient of Variation = .25

6. CV = Std.Dev/Mean = 5/20 = 0.25

7. Coefficient of variation = ( standard deviation ÷ mean ) * 100 = ( 5÷ 20 ) *100 = 25 %

8. Coefficient of variation = ( standard deviation ÷ mean ) * 100 = ( 5÷ 20 ) *100 = 25 %

9. Coefficient of Variation = (Standard Deviation / Mean) = 5/20 = 0.25

10. Coefficient of variance = (SD/Mean)*100 = (5/20)*100 = 25%

11. Coefficient of Variation is = (Standard deviation/Mean)*100
Standard Deviation=5
Mean=20

Coefficient of Variation= (5/20)*100= 25%

12. Coefficient of variation = (Standard deviation/mean)*100
=(5/20)*100
=25%

13. Coefficient of variation = (Standard Deviation/Mean)*100
Here S.D = 5 and Mean = 20
So, COV= (5/20)*100
= 25%

14. Mean= 20
Standard Deviation= 5
As coeff. of standard variation= standard deviation / mean
= 5 / 20
= 0.25

15. The coefficient of variation (CV) is a statistical measure of the dispersion of data points in a data series around the mean.
It is important in comparing the degree of variation from one data series to another (eg: data of two surveys), even if the means are drastically different from one another.

Formula: CV = Standard Deviation / Mean OR (Standard Deviation / Mean)*100
(Multiplying with 100 is an optional step)
Here, Std Dev =. 5 and mean = 20
Hence, CV = 5 / 20 = 0.25 OR 25%

16. Coefficient of Variation = (Standard Deviation ÷ Mean) = (5÷20), Therefore, CV = 0.25

17. Sorry it a private answer.

18. mean=20,
standard deviation =5
and
Coefficient of Variation = (Standard Deviation / Mean)
so CoF = 5/20=0.25

19. Coeff of variation = standard deviation /mean
5/20=0.25

20. The coefficient of variation (CV) is a statistical measure of the dispersion of data points in a data series around the mean.

Formula to calculate Coefficient of Variation is:

CV = (Std deviation/ Mean) * 100

Here, The mean of a distribution is 20 and the standard deviation is 5.

So, CV = (5/20) * 100 = 25%

21. Coefficient of variation is the measure of dispersion of data points around mean.

coefficient of variation is the ratio of standard deviation and mean

CV = std. dev / mean = 5/20 = 0.25

22. Mean = 20
Standard Deviation = 5

Coefficient of Variation = (Standard Deviation/ Mean) * 100
CV = (5/ 20) * 100
CV = 25 %

The coefficient of variation for the given values is 25 %

23. Coefficient of Variation(CV) = (Standard Deviation / Mean) * 100.
CV=(5/20)*100
CV=25 %

24. Mean = 20
Standard Deviation=5
Coefficient of Variation =(Standard Deviation/mean)*100
= (5/20)*100
=25%
Multiplying the coefficient by 100 is an optional step to get a percentage, as opposed to a decimal.

25. coefficient of variation= std/mean=5/20=0.25 or 25%

26. coefficient of variation= std/mean=5/20=0.25 or 25%

27. Coefficient of variation (CV) = ( Std. Deviation / Mean ) * 100
CV = ( 5 /20 ) *100
CV = 25 %

28. The coefficient of variation, also known as relative standard deviation, is a standardized measure of dispersion of a probability distribution or frequency distribution. The higher the coefficient of variation, the greater the level of dispersion around the mean.
It is often expressed as a percentage, and is defined as the ratio of the standard deviation to the mean.

Coefficient of Variation = (Standard Deviation/Mean) * 100
CV = (5/20) * 100
CV = 25%

29. Coefficient of variation is the measure of dispersion of data points around mean.

coefficient of variation is the ratio of standard deviation and mean

CV = std. dev / mean = 5/20 = 0.25

30. coeff of var= std/mean=5/20=.25

31. Mean= 20
standard devation =5
coefficient of variation = ( standard devation)/(mean)
= 5/20
= 0.25.
To get it in percentages = (standard devation/ mean)* 100
= (5/25)*100
= 0.25*100
coefficient of variation = 25%

32. Given :-
mean = 20
standard deviation (s.d) =5
coefficient of variation = (s.d/mean)
= (5/20)
= ( 0.25)
coefficient of variance is calculated in percentage so the formuly slightly change i.e

(standard deviation/ mean ) * 100
if we calculate ,
(5/20) * 100 = 25%
The coefficient of variation for given problem is 25 %

33. Given :
Mean = 20
Standard devaition = 5
Formula :
Coefficient of variation = standard devaition ÷ mean
= 5÷20
=0.25
Coefficient of variation is mostly calculated in percentage.
So,
Coefficient of variation =( standard devaition ÷ mean) × 100
Therefore,
=(5 ÷ 20 ) × 100
= 25%
Here we can say the coefficient of variation in the given question is 0.25 or 25%.

34. Given :
Mean = 20
Standard devaition = 5
Coefficient of variation = standard devaition ÷ means
= 5÷20
=0.25

We calculate coefficient of variation in percent
So,
Coefficient of variation =(standard devation ÷ mean) ×100
=(5÷20)×100
=25%

Therefore the coefficient of variation of given question is 25%.

35. Coefficient of Variation is basically standard deviation relative to the mean. The question arises why do we need Coef of var when we have Standard dev. It is because standard dev is the most common measure of variability for a single dataset. Comparing standard dev of two or more dataset is meaningless but comparing coeff of var is not. Moreover, the coefficient of var does not have a unit of measurement which makes it perfect for comparison.

36. Coefficient of variation is basically the standard deviation relative to the mean. The coefficient of variation is another measure of variablity over and above variance and standard deviation. It is so required because standard deviation is not fit for comparing two datasets whereas coeff of var helps in comparing two sets of data as the latter is independent of units.

37. SD = 5
Mean = 20
COV = SD/Mean
COV = 5/20
COV = 1/4 = 0.25

38. SD = 5
Mean = 20
COV = SD/Mean
COV = 5/20
COV = 1/4 = 0.25
% COV = 0.25 * 100 = 25%

39. COV = SD/Mean
COV = 5/20
COV = 1/4 = 0.25
% COV = 0.25 * 100 = 25%

40. 25%

41. mean=20,standard deviation=5
coeff.of variation=standard deviation/mean
= 5/20
=0.25

42. mean=20,standard deviation=5
coeff.of variation=standard deviation/mean
= 5/20
coeff.of variation=0.25=25%

43. Mean= 20
Standard deviation =5
Coefficient of Variation = standard deviation/mean = 5/20=0.25