# Relation bw mean,median,mode.ppt by ZubairLatif

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```									 RELATION BETWEEN MEAN,
MEDIAN AND MODE

Zubair Latif

University of Veterinary and Animal Sciences
Lahore
1
Empirical Relation Between Mean , Median and Mode
If
Mean = Mode = Median

Then the distribution of the data is called symmetrical distribution.

Mean = Median = Mode
2
Skewed distribution

Mode   Median   Mean          Mean      Median     Mode

Positively Skewed             Negatively Skewed          3
Empirical Relation Between Mean , Median and Mode
If these values differ, then the frequency distribution is said to be
Skewed or asymmetrical
Skewed may be
1. Positively Skewed Distribution
2. Negatively Skewed Distribution

Positively Skewed Distribution
By positively skewed distribution we mean that the tail of the
distribution extends to the right.
For moderately positively skewed distribution the following
empirical relation holds

Mean  Median  Mode
4
Empirical Relation Between Mean , Median and Mode
Negatively Skewed Distribution
By negatively skewed distribution we mean that the tail of the
distribution extends to the left.
For moderately negatively skewed distribution the following
empirical relation holds

Mean  Median  Mode
For moderately skewed distribution median divides the distance
Between mean and mode in the ratio 1: 2.
Mean  Median   1

Median  Mode   2

or     Mode = 3(median) - 2(mean)                             5

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