Groups of population can be compared using box and whisker plots. Overall visible spread and difference between median is used to draw conclusion that there tends to be a difference between two groups or not.
P=DBMOVS×100
Where −
P = percentage difference
DBM = Difference Between Medians.
OVS = Overall Visible Spread.
For a sample size of 30 if this percentage is greater than 33% there tends to be a difference between two groups.
For a sample size of 100 if this percentage is greater than 20% there tends to be a difference between two groups.
For a sample size of 1000 if this percentage is greater than 10% there tends to be a difference between two groups.
Describe the difference between following sets of data.
Sr. No. | Name | Set A | Set B |
---|---|---|---|
1 | Max | 12 | 15 |
2 | UQ | 10 | 13 |
3 | Median | 7 | 10 |
4 | LQ | 6 | 9 |
5 | Min | 5 | 6 |
Consider the following diagram:
OVS=13−6 =7 DBM=10−3 =4
Apply the formula
P=DBMOVS×100 =47×100 =57.14
As percentage is over 33% thus there is difference between Set A and Set B. It is likely that Set B is greater than Set A.