RELATION BETWEEN MEAN, MEDIAN AND MODE IN BIOSTATIC

RELATION BETWEEN MEAN, MEDIAN AND MODE IN BIOSTATIC

1. 1

2. 2
Empirical Relation Between Mean , Median and Mode
If
Mean = Mode = Median
Then the distribution of the data is called symmetrical distribution.
Mean = Median = Mode

3. 3
Skewed distribution
Positively Skewed Negatively Skewed
Mode Median Mean Mean Median Mode

4. 4
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
Bypositivelyskeweddistributionwemeanthatthetailofthe
distributionextendstotheright.
Formoderatelypositivelyskeweddistributionthefollowing
empiricalrelationholdsModeMedianMean 

5. 5
Empirical Relation Between Mean , Median and Mode
For moderately skewed distribution median divides the distance
Between mean and mode in the ratio 1: 2.
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 holdsModeMedianMean  2
1



ModeMedian
MedianMean
Mode = 3(median) -2(mean)or

6. Mode

Median

Mean
X
f Thisdiagrammaticpictureisequivalenttothe
followingalgebraicexpression:
Median -Mode 2 (Mean -Median) ------(1)~

7. Theabove-mentionedpointcanalsobeexpressedin
thefollowingway:
Mean –Mode 3 (Mean –Median) ----(2)~
Equation(1)aswellasequation(2)yieldsthe
approximaterelationgivenbelow:
EMPIRICAL RELATION
BETWEEN THE MEAN,
MEDIAN AND THE MODE
Mode 3 Median –2 Mean~