Measures of Dispersion

” Measures of Dispersion “

This course describes the various measures of dispersion.

The measure of dispersion indicates the scattering of data.  The measure of dispersion displays and gives us an idea about the variation and central value of an individual item.

In other words, Dispersion is the extent to which values in a distribution differ from the average of the distribution. It gives us an idea about the extent to which individual items vary from one another and from the central value.

The Measures of Dispersion are – Range , Mean Deviation , Standard Deviation & Variance.

Range: It is defined as the difference between the largest and smallest values of the observation in the given data.

Mean Deviation : It is the arithmetic mean of all the absolute deviations from any of its averages (Mean or Median).

Standard Deviation:The square root of the mean of the squares of the deviations from mean is called standard deviation.

Variance: The square of standard deviation is called the variance.

Coefficient of Variance: • Coefficient of Variance is used to compare the variability  or  consistency of two or more groups.

In this course ,the various measures of dispersion –Range ,Mean Deviation ,Standard Deviation & Variance are explain in details with examples. This course explains the Range  ,Mean Deviation , Standard Deviation & Variance  the Raw  Data , Ungrouped Data & Grouped Data also explains the coefficient of variance.

Objectives of Computing Dispersion:

1.Comparative Study

2.Reliability of an Average

3.Control the Variability

4.Basis for Further Statistical Analysis

This Course is useful to Polytechnic, Engineering, Graduate ,Post Graduate Students and also the for the students who are interested to learn the statistics.