Question

Statistical Literacy, If two or more data values are the same, how is the rank of each of the tied data computed?

Answer 1

If two or more data values are the same then the rank of each of the tied data is their average rank which can be computed as follows,

Example: Suppose we have data 7,4,6,2,3,4,9,5,4

Ranking can be done as

7	2
4	6
6	3
2	9
3	8
4	6
9	1
5	4
4	6

4 has occurred three times, if they were three different data values then they would have got 5,6,7 as their ranks but since they are same we will average these ranks i.e. (5+6+7)/3

and will assign this common average rank all the same data values. Then next ranking is as usual i.e. next data value is 3 and it's rank is 8 instead of 7.

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