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
how to explain this strategy? how to do this strategy in solving a problem? can you give some example on how to solve this kind of strategy.

using a pair of compasses a ruler and a pencil. construct a triangle CDE in which DE=10cm, DC+8cm and CDE= 45 degrees. construct CF perpendicular to DE such that F lies on DE using

Evaluating a Function You evaluate a function by "plugging in a number". For example, to evaluate the function f(x) = 3x 2 + x -5 at x = 10, you plug in a 10 everywhere you

fixed cost of $1400 ,printing cost of .40 cents -each item to sell for $1.05. what is linear cost function, linear revenue function and number of items to be sold to make a profit

The first definition which we must cover is that of differential equation. A differential equation is any equation that comprises derivatives, either partial derivatives or ordinar

A fish tank has the base area of 45 cm3 and is filled to the depth of 12 cm.If the height is 25 cm then how much more will be needed to fill the rest of the tank?


Before we look at simultaneous equations let us brush up some of the fundamentals. First, we define what is meant by an equation. It is a statement which indicate

Explain Identifying Conic Sections The graph of a quadratic equation in the variables x and y, like this one, x 2 + 3y 2 + 6y = -4, is a conic sections. There are three kind

I need help in assignment of stats? Please give me assist in my stats exam.