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CAT 2021: How Scaled Score will be Calculated for Three Shifts?

Abhinav Chamoli
Abhinav ChamoliUpdated On: November 29, 2021 11:34 am IST | CAT

CAT 2021 was conducted in three shifts on November 28, 2021. IIM has released an official document providing the revised process to calculate Scaled Score in CAT. Here are the details.

Calculation of Scaled Scores for Three Slots in CAT 2021

CAT 2021 was conducted on November 28, 2021, across 159 cities spread throughout India at multiple exam centres in each city. Each shift was conducted simultaneously at every CAT exam centre. The shift timings for CAT 2021 was as follows.

CAT 2021 Shift


Shift 1 - Morning Shift

8:30 AM - 10:30 AM

Shift 2 - Afternoon Shift

12:30 PM - 2:30PM

Shift 3 - Evening Shift

4:30 PM - 6:30 PM

The shift timings have been adjusted to account for the time duration of CAT 2021 being reduced to 2 hours.

Since the score for each shift is considered when calculating scaled scores in CAT 2021, this will have an impact on the CAT 2021 Normalization Process as well. Hence, IIM Indore released a document explaining how scaled scores will be calculated for CAT 2021.

Also Read: CAT 2021 Cutoff for Top Private MBA Colleges for General, SC/ST, OBC

Step-by-Step Scaled Score Calculation Process in CAT 2021

The scaled score calculation process of CAT 2021 has been designed to adjust for any differences in the difficulty level of the question papers set for each shift. Hence, it has to take into account the information from all three shifts to work effectively.

This is the reason why the CAT 2021 scaled score calculation formula has to be adjusted accordingly because a third shift has been added. However, this is just a small change in the entire process and the basic concept behind this stays the same.

Here is the official document to calculate the scaled score of a candidate in CAT. 

Scaled Score Calculation in CAT 2021: Official PDF Download

The whole process can be broken down into three main parts, as illustrated below. The detailed process has been explained below.

Here is how it is done.

Step 1: The Mean (M) and Standard Deviation (SD) of the raw scores of all candidates are calculated. This is done for each of the three shifts separately. These values are denoted by a character for use in the final formula, as follows.

For Shift 1Mean = M1
Standard Deviation = S1
G1 = M1 + S1
For Shift 2Mean = M2
Standard Deviation = S2
G2 = M2 + S2
For Shift 3Mean = M3
Standard Deviation = S3
G3 = M3 + S3

Also Read:How to Apply for Category Certificates for CAT 2021

Step 2: Now, the Mean and Standard Deviation of the raw scores of the candidates in all of the shifts combined are calculated.

For Shift 1 + Shift 2 + Shift 3 CombinedMean = M
Standard Deviation = S
G = M + S

Step 3: The mean raw score of the top 0.1% of the candidates in each of the shifts is calculated.

Mean of Top 0.1 % Candidates in Shift 1


Mean of Top 0.1 % Candidates in Shift 2


Mean of Top 0.1 % Candidates in Shift 3


Step 4: The mean raw score of the top 0.1% candidates in all of the shifts combined is calculated.

Mean of Top 0.1 % Candidates in Shift 1 + Shif 2 + Shift 3


Step 5: The following formula is used to calculate the scaled score of a candidate. Some values in the formula are adjusted as per the shift that the candidate has appeared in.

Also Read: CAT 2021 Login - Forgot Password, Username, Steps to Retrieve

If the Raw Score of a candidate is denoted by R, then the Scaled Score of a candidate (denoted by S is calculated as follows.

Scaled Score For Shift 1

SS1 = G + [(R - G1) x {(M0.1 - G) / (M10.1  - G1)}]

Scaled Score For Shift 2

SS2 = G + [(R - G2) x {(M0.1 - G) / (M20.1  - G2)}]

Scaled Score For Shift 3

SS3 = G + [ (R - G3) x {(M0.1 - G) / (M30.1  - G3)} ]

Candidates who have any doubts about scaled score calculation in CAT 2021 can ask our experts on the CollegeDekho QnA Zone. To stay updated with all of the latest updates and changes in CAT 2021, stay tuned to CollegeDekho.

CAT 2021 Latest Updates

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CAT Previous Year Question Paper

CAT Question Paper 2018 Slot 1

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CAT Question Paper 2019 Slot 1

CAT Question Paper 2019 Slot 2

CAT question Paper 2017 f1

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