measure of dispersion

UNIVERSITY OF PETROLEUM & ENERGY STUDIES DEHRADUN

Assignment

TOPIC

QUANTITATIVE TECHNIQUES (MBCQ 721)

Submitted to:

Dr. NEERAJ ANAND

Sr Associate Professor - CMES

Submitted by :

Roll No.03 Names: ADITYA SHARMA Roll No.04 Name: ADITYA VATS

MBA (LSCM) Sem I

Batch 2013-15

Measures of Dispersion – Comparison of Cargo shipped via Airline Vs Rail Sector for last five years

In statistics, dispersion (also called variability, scatter, or spread) denotes how stretched or squeezed is a distribution (theoretical or that underlying a statistical sample). Common examples of measures of statistical dispersion are the variance, standard deviation and interquartile rang..

Dispersion is contrasted with location or central tendency, and together they are the most used properties of distributions.

Measures of statistical dispersion

A measure of statistical dispersion is a nonnegative real number that is zero if all the data are the same and increases as the data become more diverse.
Most measures of dispersion have the same units as the quantity being measured. In other words, if the measurements are in meters or seconds, so is the measure of dispersion. Such measures of dispersion include:
Sample standard deviation
Interquartile range (IQR) or Interdecile range
Range
Mean difference
Median absolute deviation (MAD)
Average absolute deviation (or simply called average deviation)
Distance standard deviatio
These are frequently used (together with scale factors) as estimators of scale parameters, in which capacity they are called estimates of scale. Robust measures of scale are those unaffected by a small number of outlines and include the IQR and MAD.
All the above measures of statistical dispersion have the useful property that they are