- Statistics - Discussion
- Z table
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Statistics - Comparing Plots
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.
Formula
${P = frac{DBM}{OVS} imes 100 }$
Where −
${P}$ = percentage difference
${DBM}$ = Difference Between Medians.
${OVS}$ = Overall Visible Spread.
Rules
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.
Example
Problem Statement
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 |
Solution
Consider the following diagram −
${OVS = 13 - 6 \[7pt] = 7 \[7pt] DBM = 10 -3 \[7pt] = 4 }$
Apply the formula
${P = frac{DBM}{OVS} imes 100 \[7pt] = frac{4}{7} imes 100 \[7pt] = 57.14 }$
As percentage is over 33% thus there is difference between Set A and Set B. It is pkely that Set B is greater than Set A.