Relative measures of dispersion, Mathematics

Relative measures of dispersion

Definition of Relative measures of dispersion:

A relative measure of dispersion is a statistical value that may be utilized to compare variations in two or more samples.The measures of dispersion are normally expressed as decimals or percentages and generally they do not have any type of other units

Illustration

The average distance covered by vehicles in a motor rally may be given as 2000 kilometer along with a standard deviation of 5 kilometer.

In another competition set of vehicles covered 3000 kilometer along with a standard deviation of 10 kilometer

NB: The two standard deviations described above are referred to as absolute measures of dispersion. These are real deviations of the measurements from their respective mean

Conversely, these are not extremely useful while comparing dispersions among samples.

Hence the following measures of dispersion are generally employed in order to assess the degree of dispersion.

i. Coefficient of mean deviation

= (mean deviation)/mean

ii. Coefficient of quartile deviation

 = ½(Q3 - Q1)/Q2

Whereas:  Q1 = first quartile

                  Q3 = third quartile

iii.Coefficient of standard deviation

= standard deviation /mean

 

iv. Coefficient of variation

= ( standard deviation /mean) * 100

 

Illustration sees information above

First group of cars: mean = 2000 kilometre

           Standard deviation = 5 kilometre

C.O.V            = (5 /2000) x 100

                        = 0.25%

Second group of cars: mean = 3000 kilometre

            Standard deviation = 10 kilometre

C.O.V            = (10/3000)    x 100

= 0.33%

 

Conclusion

Because the coefficient of variation is greater in the 2nd group, than in the first group we may conclude that the distances covered in the 1st group are much closer to the 2nd group.

Posted Date: 2/18/2013 1:05:03 AM | Location : United States







Related Discussions:- Relative measures of dispersion, Assignment Help, Ask Question on Relative measures of dispersion, Get Answer, Expert's Help, Relative measures of dispersion Discussions

Write discussion on Relative measures of dispersion
Your posts are moderated
Related Questions
1) Find the are length of r(t) = ( 1/2t^2, 1/3t^3, 1/3t^3) where t is between 1 and 3 (greater than or equal less than or equal) 2) Sketch the level curves of f(x,y) = x^2-2y^2

Solve for x: 4 log x = log (15 x 2 + 16) Solution:              x 4 - 15 x 2 - 16 = 0                (x 2 + 1)(x 2 - 16) = 0                x = ± 4   But log x is

If two zeros of the polynomial f(x) = x 4 - 6x 3 - 26x 2 + 138x - 35 are 2 ± √3.Find the other zeros.     (Ans:7, -5) Ans : Let the two zeros are 2 +√3 and 2 - √3 Sum of

The backwards Euler difference operator is given by for differential equation y′ = f(t, y). Determine the order of the local truncation error. Explain why this difference o

what are the formulas for finding the area and volume of plane figures

6 male students and 3 female students sit around a round table. The probability that no 2 female students sit beside each other can be expressed as a/b, where a and b are coprime p


If a triangular sail has a horizontal length of 30 ft and a vertical height of 83 ft , Determine the area of the sail? a. 1,245 ft 2 b. 1,155 ft 2 c. 201 ft 2 d. 2,4

1. If the equation has any fractions employ the least common denominator to apparent the fractions. We will do this through multiplying both sides of the equation by the LCD. Al

What is Angle Pairs in Parallel Lines ? Next, we introduce several angle pairs formed by transversals which are very important in our study of geometry. Alternate interior an