Percentile Score Calculation for CAT 2023

Percentile Score Calculation for CAT 2023

Calculation of Percentile Score of a Candidate

The process described below outlines how the percentile scores for CAT 2023 are calculated for both overall and sectional scores. The Quantitative Aptitude (QA) section is used as an example. The same methodology applies to the other sections:

Data Interpretation & Logical Reasoning (DILR) and Verbal Ability & Reading Comprehension (VARC).

Step-by-Step Calculation:

Step 1: Calculate the Total Number of Candidates (N)

- Identify the total number of candidates who appeared for CAT across all sessions (morning, afternoon, and evening).

Step 2: Assign a Rank (r)

- Rank candidates based on their scaled scores in the QA section.

- If multiple candidates have identical scaled scores, they are assigned the same rank.

Example:

- If two candidates have the highest scaled score, both are ranked 1.

- The next highest score is assigned rank 3, and so on.

Step 3: Calculate the Percentile Score (P)

- Use the formula: \( P = \left( \frac{N - r}{N} \right) \times 100 \)

Where:

- \( N \) is the total number of candidates.

- \( r \) is the rank of the candidate.

Step 4: Round Off the Percentile Score

- Round the calculated percentile score \( P \) to two decimal points.

Examples:

- Scores \( \geq \) 99.995 are rounded to 100.

- Scores \( \geq \) 99.985 but < 99.995 are rounded to 99.99.

Application

This methodology is consistently applied for:

- Sectional percentile scores (QA, DILR, VARC).

- Overall CAT percentile scores.

Example Calculation:

1. Total Candidates (N): 200,000

2. Rank (r): 500

\[ P = \left( \frac{200,000 - 500}{200,000} \right) \times 100 = 99.75 \]

Thus, a candidate with rank 500 out of 200,000 candidates has a percentile score of 99.75.

This systematic approach ensures fairness and consistency in the evaluation of CAT scores, providing a clear and transparent ranking mechanism. For further details and updates, candidates are advised to visit the official www.rahulsir.co.in website.