CAT Exam Marks vs Percentile 2023

Summary: CAT Exam Marks vs Percentile 2023 is used to examine the CAT Exam marks and percentiles for this academic year. Let’s understand CAT Exam Marks vs Percentile 2023!

The CAT exam score combines your individual sectional scores and overall score. 

The individual sectional scores are calculated from the number of questions answered correctly and the difficulty level of the CAT exam. The overall score is derived from your in all sections.

The CAT exam score is then converted into a percentile, which compares one candidate's performance with other candidates who appeared for the exam. 

The percentile is calculated based on the number of candidates who appeared for the exam and the number of candidates who secured the same or higher score than others. 

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CAT Exam Marks vs Percentile 2023

The CAT exam score is converted into a percentile to determine the relative performance of one candidate with other candidates who appeared for the exam.

The percentile helps the IIMs and other top B-schools to compare the performance of the candidate with that of other candidates.

This helps the institutions to determine the candidate’s ranking within the group of candidates who appeared for the exam.

The percentile score is calculated based on the number of candidates who appeared for the exam and the number of candidates who secured the same or higher score than the candidate.

The percentile score is then used to determine the overall rank of the candidate.

Check: CAT Exam Pattern 2023

Scaled Score Calculation 

Calculation of the scaled score of a candidate:

Following steps are followed to calculate the scaled score of a candidate in each of the three sections, i.e. VARC, DILR and QA in CAT. The overall scaled score is obtained by adding the scaled scores of these three sections. While illustrating the scaling process, the QA section is chosen as an example. A similar process is valid for the other two sections, i.e. DILR and VARC.

Step 1: Calculate the mean and the standard deviation (SD) of the raw scores in the QA section for all candidates appearing in the morning session. Let Mean = M1 and SD = S1 and G1 = M1 + S1.

Step 2: Calculate the mean and the standard deviation (SD) of the raw scores in the QA section for all candidates appearing in the afternoon session. Let Mean = M2 and SD = S2 and G2 = M2 + S2.

Step 3: Calculate the mean and the standard deviation (SD) of the raw scores in the QA section for all candidates appearing in the evening session. Let Mean = M3 and SD = S3 and G3 = M3 + S3.

Step 4: Calculate the mean and the standard deviation (SD) of the raw scores in the QA section for all candidates appearing in CAT (i.e. including all three sessions). Let Mean = M, SD = S, and G = M + S.

Step 5: Calculate the mean raw score in the QA section of the top 0.1% of candidates in the morning session and denote it by 𝑀1 0.1

Step 6: Calculate the mean raw score in QA of the top 0.1% of candidates in the afternoon session and denote it by 𝑀2 0.1

Step 7: Calculate the mean raw score in QA of the top 0.1% of candidates in the evening session and denote it by 𝑀3 0.1

Step 8: Calculate the mean raw score in QA of the top 0.1% of candidates appearing in CAT (i.e. considering all three sessions) and denote it by 𝑀0.1

Check: CAT Syllabus 2023

Suppose now XYZ is a candidate who appeared in the morning session, and her raw score in QA section is R. Then the scaled score of XYZ in QA, say 𝑅̂ given by:

𝑅̂ = (𝑅 − 𝐺1) 𝑀0.1 − 𝐺/ 𝑀10.1 − 𝐺1 + 𝐺

In case XYZ is a candidate who appeared in the afternoon session and her raw score in the QA section is R. Then the scaled score of XYZ in QA, say 𝑅̂ given by: 

𝑅̂ = (𝑅 − 𝐺2) * 𝑀0.1 − 𝐺/ 𝑀2 0.1 − 𝐺2 + G

In case XYZ is a candidate who appeared in the evening session and her raw score in the QA section is R. Then the scaled score of XYZ in QA, say 𝑅̂ given by:

𝑅̂ = (𝑅 − 𝐺3) 𝑀0.1 − 𝐺/ 𝑀30.1 − 𝐺3 + 𝐺

A similar Methodology is applied to compute scaled scores for other sections. If this formula yields any scaled score of more than 100, it will be rounded to 100.

Check: CAT Exam Preparation 2023

Percentile Score Calculation

Calculation of the percentile score of a candidate:

The steps described below are followed to calculate the CAT 2023 overall and sectional percentile scores obtained by a candidate. While illustrating the percentile score calculation process, the QA section is chosen as an example. A similar process is followed for the overall percentile score calculation and the other two sections, i.e. DILR and VARC, in CAT 2023.

Step 1: Calculate the total number of candidates (N) who appeared for CAT (i.e., morning, afternoon, and evening sessions).

Step 2: Assign a rank (r) to all candidates who appeared for CAT based on the scaled scores obtained in the QA section. If two or more candidates obtain identical scaled scores in the QA section, assign identical ranks to all those candidates. As an illustration, suppose exactly two candidates obtain the highest scaled score in the QA section, and then both candidates are assigned a rank of 1. Moreover, the candidate(s) obtaining the second highest scaled score in the QA section are assigned a rank of 3.

Step 3: Calculate the percentile score (P) of a candidate with rank (r) in the QA section as:

𝑃 = (𝑁 − 𝑟)/ 𝑁 x 100

Step 4: Round off a candidate's calculated percentile score (P) to two decimal points. For example, all percentile scores greater than or equal to 99.995 are rounded off to 100; all scores greater than or equal to 99.985 but strictly less than 99.995 are rounded off to 99.99.

A methodology similar to the one described above is used to compute the overall CAT percentile scores and the percentile scores of other sections.

Check: CAT Result 2023

Conclusion 

The CAT Exam Marks vs Percentile 2023 is used to determine the relative performance of the candidate with other candidates who appeared for the exam. The percentile helps the IIMs and other top B-schools to compare the performance of the candidate with that of other candidates. This helps the institutions to determine the candidate’s ranking within the group of candidates who appeared for the exam.

Check: CAT Eligibility 2023