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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