Calculation of percentile, normalization of marks and Composite score
Difference between Percentage & Percentile & calculation of percentile:
Percentage: As you all know percentage is a number out of 100.Percentage marks = (Obtained marks / Total marks) ×100
Percentile:Percentile score of a candidate reflects the number of students who have scored below that student in his/her own Board ( CBSE, ICSE etc..)
Example:In a particular board 4000 candidates appeared in the examination.If a candidate obtained 70 % marks and 2000 students have scored below 70%, then the percentile of that student = (2000×100)/4000 = 50.0
Normalization of marks
Step 1:
Calculate percentile (P) of all the candidate of board XYZ who are eligible for the JEE (Main) exam, with reference to their board result.
For a Board XYZ
Total Number of the candidates appearing in board exam = 4000
Marks of candidates in Board Exam (m) 
Number of candidates who scored below the candidate (m) 
Percentile Calculation 
Percentile (p_{1}) 
50% 
1500 
(1500/4000)×100 
37.5 
60% 
1700 
(1700/4000)×100 
42.5 
70% 
2000 
(2000/4000)×100 
50.0 
80% 
2500 
(2500/4000)×100 
62.5 
90% 
3500 
(3500/4000)×100 
87.5 
Step:2
In the same way calculate the percentile of all the candidates with reference to their JEE main score.
Let total number of the candidates appearing in JEE (Main) exam = 1000000
JEE(Main) Score (n) 
Number of candidates below the candidate with JEE (Main) score (n) 
Percentile Calculation 
Percentile (p_{2}) 
75 
500000 
(500000/1000000)×100 
50.0 
100 
600000 
(600000/1000000)×100 
60.0 
150 
700000 
(700000/1000000)×100 
70.0 
200 
800000 
(800000/1000000)×100 
80.0 
250 
900000 
(900000/1000000)×100 
90.0 
Step: 3
Use the value of percentile (P_{1}) calculated in step 1 (Table 1) and find out the same value of percentile in the table 2 (step 2). The corresponding JEE (Main) score would represent value of B_{1}.
In our example the percentile of candidate with 70% board marks was 50.
So in table 2, percentile 50.0 represents JEE (Main) score of 75. So, B_{1} = 75.
Step:4
Calculate the percentile of the candidates of the particular board (say XYZ ) who appeared in the JEE main with reference to their JEE main score.
Number of the candidates of board xyz appeared in JEE main = 4000
JEE(Main) Score (n) 
Number of candidates below the candidate with JEE (Main) score (n) 
Percentile Calculation 
Percentile (p_{3}) 
25 
1000 
(1000/4000)×100 
25.0 
50 
1500 
(1500/4000)×100 
37.5 
100 
2000 
(2000/4000)×100 
50.0 
150 
3000 
(3000/4000)×100 
75.0 
200 
3600 
(3600/4000)×100 
90.0 
Step: 5
Use the value of percentile (P_{1}) calculated in step 1 (Table 1) and find out the same value in the table 3 (step 4). The corresponding JEE (Main) score would represent value of B_{2}.
In our example the percentile of candidate with 70% board marks was 50.
So in table 3, percentile 50.0 represents JEE (Main) score of 100. So, B_{2} = 100
Step: 6
B_{final} = 0.5× (B_{1}+B_{2})
In our example:
B _{final} = 0.5× (75 + 100) = 87.5
For admission to CFTIs, it has been decided to use JEE Mains Marks (AO) and the normalized board marks(× B _{final}) in 60:40 ratio.So,
Composite score for drawing the merit list (c ) = 0.6× AO + 0.4× B _{final
}In our example:
c = 0.6× 75 + 0.4× 87.5 = 80.
For getting your estimated rank in IIT JEE you can use our Rank Predictor
This post was published by Aditya Singhal, cofounder of askIITians.
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