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


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%



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
State the following statement as a disjunction (in DNF) as well using quantifiers:      There does not exit a woman who has taken a flight on each airline in the world.

4n to the power 3/2 = 8 to the power minus 1/3. find the value of n.

Ut=Uxx+A exp(-bx) u(x,0)=A/b^2(1-exp(-bx)) u(0,t)=0 u(1,t)=-A/b^2 exp(-b)

#question application of vector and scalar in our daily life

QUESTION (a) Draw a graph model with the following adjacency matrix.                         (b) The diagram below shows different cities labelled a to g and z. Also sh

1) Compute the center of mass of the solid of unit density 1 bounded (in spherical coordinates) by p=1 and by φ is greater than or equal 0 and less than or equal pi/4

Example   Evaluate following limits. Solution Here our first thought is probably to just "plug" infinity into the polynomial & "evaluate" every term to finds out the

Sketch the graphs of the following functions: (A) y = 1/(x 2 +1) (b) x=  sin x,