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How to Calculate Scaled CAT Score?

Exam

Prachi Bhatia

Updated on 07th August, 2023 , 2 min read

CAT Score - CAT 2023 exam will be conducted on 26th November in three phases rather than the two sessions that were previously held. As a result of the shorter exam period and modified exam format, the exam time was reduced from 180 minutes to 120 minutes, and the CAT score calculation was also modified. 

The CAT score has been adjusted for performances in not just two but three slots during the past two years. Since the CAT 2023 exam pattern has changed, the exam administrators have implemented a modified Scaled Score calculation procedure. Three slots of 120 minutes each will be available for CAT 2023. As a result, Scaled Score calculation technique will be used to create scorecards.

IIM Lucknow will use the techniques outlined below to obtain the scaled score for each part in the CAT result 2023. Let us look at an example of how the scaled score for CAT 2023 will be determined.

Scaled CAT Score Calculation

The CAT scaled score calculation technique is illustrated below with an example of the QA section; the same methodology is used for the VARC and DILR scaled score calculations. Any candidate's scaled score that exceeds 100 will be rounded down to 100.

As seen below, the entire procedure is divided into three major steps as follows:

Step 1: Calculate Mean and Standard Deviation of all the candidates.

Step 2: Calculate Mean of the top 0.1% candidates as per raw scores.

Step 3: Apply formula to Calculate the Scaled Score.

The complete procedure is mentioned below.

Step 1: The mean (M) and standard deviation (SD) of all applicants' raw scores are calculated. This is done independently for each of the three slots. These values are represented by a character in the final formula, as seen in the table below.

Slot 1

Slot 2

Slot 3

Mean = M1

Standard Deviation = S1

G1 = M1 + S1

Mean = M2

Standard Deviation = S2

G2 = M2 + S2

Mean = M3

Standard Deviation = S3

G3 = M3 + S3

Step 2: Now, the candidates' raw scores from all shifts combined are used to calculate the Mean and Standard Deviation.

For Shift 1 + Shift 2 + Shift 3 Combined

Mean = 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 computed.

Mean of the top 0.1% of the candidates in Shift 1

Mean of the top 0.1% of the candidates in Shift 2

Mean of the top 0.1% of the candidates in Shift 3

M 10.1

M 20.1

M 30.1

Step 4: The mean raw score of the top 0.1% of the candidates in all of the shifts are computed.

Mean of the Top 0.1% of the candidates in Shift 1 + Shift 2 + Shift 3 Combined

M0.1

Step 5: The scaled score of a candidate is calculated using the formula below. Some formula values are changed based on the shift in which the candidate appears. If a candidate's Raw Score is represented by R, the Scaled Score (denoted by S) is determined as follows.

Scaled Score of Shift 1

Scaled Score of Shift 2 

Scaled Score of Shift 3

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

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

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

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