CAT Score Vs Percentile

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Updated on
September 17, 2019

CAT 2019 Score Vs Percentile is out with the release of CAT 2019 Percentile Score calculation Method by IIM Kozhikode. This is the first time that IIMs have officially released CAT percentile score calculation method based on CAT scaled score. There are four steps to calculate your CAT Score Vs Percentile as shared by IIMs in the release.

 

You can very well assess now your admission chances in IIMs with the help of CAT scaled score with percentile. Even before the release of CAT score with percentile, you could understand what percentile you could get with the respective CAT 2019 raw score and the CAT scaled score. The process to calculate CAT raw score vs percentile is announced by IIMs now well in advance even before CAT 2019 exam date and declaration of CAT Result.

 

The steps described below are followed to calculate the CAT 2019 overall and sectional percentile scores obtained by a candidate. 

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Quantitative Ability (QA) Chosen as Example by IIMs: Same Process for Other Sections
While illustrating the percentile score calculation process, QA section is chosen as an example. Similar process is followed for the overall percentile score calculation and for the other two sections, i.e. DILR and VARC in CAT 2019.

 

4 Steps of CAT Percentile Calculation

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

Step 2: Assign a rank (r), based on the scaled scores obtained in the QA section, to all candidates who appeared for CAT. In the case of two or more candidates obtaining identical scaled scores in the QA section, assign identical ranks to all those candidates.

Illustration
As an illustration suppose exactly two candidates obtain the highest scaled score in the QA section, then both of those 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 and so on.

Step 3: Calculate the percentile score (P) of a candidate with rank (r) in the QA section as:  P=((N-r)N)x100.

Step 4: Round off the calculated percentile score (P) of a candidate up to two decimal points.

 

Example
For example, all percentile scores greater than or equal to 99.995 are rounded off to 100, all percentile scores greater than or equal to 99.985 but strictly less than 99.995 are rounded off to 99.99 and so on.

 

Similar Method for Overall & Other Sections’ Percentile
A methodology similar to the one described above is used for the computation of the overall CAT percentile scores and for the percentile scores of other sections.

 

CAT 2019 Score Vs Percentile Calculation Pattern
Since CAT 2019 scoring pattern awards +3 marks for each correct answer and -1 mark for each wrong answer for MCQs and no negative marks for Non-MCQs, arriving at the nearest CAT score vs percentile calculation has become a little more easy. CAT 2019 exam date is November 24, 2019 in two slots. The CAT exam is rated as slightly more difficult than any other exam and therefore, in view of the experts and top preparation institutes, a low raw score of 150 and scaled score of 162 could award you high percentile of 99+ in CAT 2019.

 

This prediction of CAT score vs percentile has also proved to be correct to a large extent as shared below. It may be noted that CAT score card does not display your CAT raw score Vs percentile and only the scaled CAT score Vs percentile is mentioned in CAT Score Card. Let us know the CAT score Vs Percentile as can be scored in CAT 2019 exam by the test takers for MBA admission 2020:

 

CAT Score 250+ Vs 100 Percentile
The candidates who score 250+ scaled CAT 2019 score may be awarded 100 percentile

Section

Section

Section

Total

Verbal Ability & Reading Comprehension

Data Interpretation & Logical Reasoning

Quantitative Ability

Scaled Score

Percentile

Scaled Score

Percentile

Scaled Score

Percentile

Overall Scaled Score

Overall Percentile

87.62

99.95

66.77

99.98

96.99

100

251.38

100

Source: Based on Last Year Score Card

 

CAT Score 160+ to 189 Vs 99+ Percentile
The candidates who appear in CAT 2019 and are awarded scaled score between 160+ and 189 may get  percentile of 99+ as revealed in the following CAT score cards:

 

CAT Score 188.43 Vs Percentile 99.88

Section

Section

Section

Total

Verbal Ability & Reading Comprehension

Data Interpretation & Logical Reasoning

Quantitative Ability

Scaled Score

Percentile

Scaled Score

Percentile

Scaled Score

Percentile

Overall Scaled Score

Overall Percentile

69.18

97.75

50.91

99.59

68.34

99.83

188.43

99.88

 Source: Based on Last Year CAT Score Card

 

CAT Score 161.85 Vs Percentile 99.33

Section

Section

Section

Total

Verbal Ability & Reading Comprehension

Data Interpretation & Logical Reasoning

Quantitative Ability

Scaled Score

Percentile

Scaled Score

Percentile

Scaled Score

Percentile

Overall Scaled Score

Overall Percentile

67.13

97.1

51.97

99.66

42.76

96.91

161.85

99.33

 Source: Based on Last Year CAT Score Card  

 

CAT Score 87 Vs Percentile 84

Section

Section

Section

Total

Verbal Ability & Reading Comprehension

Data Interpretation & Logical Reasoning

Quantitative Ability

Scaled Score

Percentile

Scaled Score

Percentile

Scaled Score

Percentile

Overall Scaled Score

Overall Percentile

28.19

62.04

29.76

91.22

29.46

90.31

87.41

84.12

 Source: Based on Last Year CAT Score Card

 

CAT 2019 Score Vs Percentile by MBAUniverse.com
Since the candidates are now unable to know what raw CAT 2019 score range would fetch percentile in different range, we present below the expected CAT raw score vs percentile range prepared by experts:

CAT 2019 Raw Score Range

Percentile Range (Expected)

61-70

80-84

71-80

85-87

81-90

88-89

91-100

88-89

101-120

91-92

121-130

93-94

131-139

95-96

140-145

97-98

150-155

99+

 Source: Based on Last Year CAT Score Vs Percentile calculation

 

Last Year CAT Score Vs Percentile Calculation by CAT Coaching Institutes

 

CAT Score Vs Percentile by Career Launcher (CL)
One of the leading CAT preparation institutes Career launched predicted following percentile at below mentioned raw score in CAT 2018:

CAT 2018 Score

Expected Percentile

155-160

99

 

CAT Score Vs Percentile by IMS
The oldest CAT coaching institute IMS predicted following percentile at below mentioned raw score in CAT

CAT 2018 Score

Expected Percentile

140-145

95

160+

99

CAT Score Vs Percentile: Calculation Process
IIMs have devised the process to obtain high percentile score at a moderate raw score in CAT exam. For example a raw score of 100 in CAT is scaled to 160 and then again converted to percentile score of 85 to 90+. The score Vs Percentile calculation process in CAT 2019 exam will pass through various stages. The key process is detailed as under:

  • Your Raw sectional and overall score obtained in CAT 2019 exam.
  • This raw CAT score 2019 is converted to Scaled score
  • The scaled CAT score is converted to percentile score.

CAT 2019 scoring pattern
Chances to increase percentile in CAT 2019 have improved with introduction of 27% Non-MCQs.

 

Following is the scoring pattern in CAT 2019:

  • Maximum marks 300
  • 3 marks awarded for each correct answer for MCQs & Non MCQs
  • -1 mark for every wrong answer for MCQs
  • No deduction for wrong answer to Non-MCQ

Score scaling and Score Normalization lead to percentile score
The process of converting the raw CAT score to percentile score again depends upon many factors – number of candidates who have appeared in CAT exam, difficulty level of slot-1 and slot-2 question paper. Taking all this into account scaled scores are arrived at. This process goes on for score normalization and leads to percentile scores.

 

Normalization depends on LoD in both sessions
The Scaling & Normalization process of CAT 2019 scores have also brought about certain changes as both the components take into account the level of difficulty in both the sessions of CAT 2019 exam, conducted on November 24, 2019. While the Normalization process, as announced by IIMs for CAT 2019 scores, adjusts for location and scale differences of score distributions across different forms, the scaled scores obtained by this process are converted into percentiles for purposes of shortlisting.

 

CAT 2019 website claims to have the most transparent process on score normalization and calculation of percentile. A bit of information on score normalization process in CAT 2019 is also available on CAT website. The process claims to focus on Fairness, Equity and comparison of performances across both the test sessions in CAT 2019.

 

Transparent Scoring pattern
CAT Centre 2019 has declared “In order to ensure fairness and equity in comparison of performances of the candidates across different test sessions, the scores of the candidates shall be subjected to a process of Normalization. The Normalization process to be implemented shall adjust for location and scale differences of score distributions across different forms and the scaled scores obtained by this process shall be converted into percentiles for purposes of shortlisting.”

 

IIMs follow GATE pattern to convert score to percentile
On the question of transparency of normalization process across the multiple sessions CAT Centre states “The process of Normalization is an established practice for comparing candidate scores across multiple Forms and is similar to those being adopted in other large educational selection tests conducted in India such as Graduate Aptitude Test in Engineering (GATE).”

 

To understand the conversion of raw score to percentile score and to know about the score normalization process in CAT 2019, understand first the GATE process which stands a bit changed.

 

Those appearing in GATE or have understood the process can understand it better but for those who are unaware about the process have to understand the GATE process first. In fact the commerce, science, medical, paramedical and graduates in Humanities who are appearing CAT 2019 still remain oblivious of the percentile VS Score calculation formula in CAT 2019.

 

GATE normalization process adopted in CAT
During 2018, the CE, CS, EC, EE and ME examinations are conducted  in multiple sessions. Suitable normalization process is therefore applied to take into account any variation in the difficulty levels of the question sets across the different sessions. The normalization is done based on the fundamental assumption that "in all multi-session GATE papers, the distribution of abilities of candidates is the same across all the sessions".

 

According to the GATE committee, this assumption is justified since "the number of candidates appearing in multi-session subjects in GATE is large and the procedure of allocation of session to candidates is random. Further it is also ensured that for the same multi-session subject, the number of candidates allotted in each session is of the same order of magnitude."

 

GATE formula
Based on the above the committee arrived at the following formula for calculating the normalized marks, for CE, CS, EC, EE and ME subjects. From GATE 2014 onward (and year 2014-15 of the 2-year validity period of GATE 2013 score), a candidate's GATE score is computed by the following new formula.

where, S = Score (normalized) of a candidate; M = Marks obtained by a candidate ("normalized marks" in case of multiple-session subjects CE, CS, EC, EE and ME); Mq = Qualifying marks for general category candidates in that subject (usually 25 or μ + σ, whichever is higher); μ = Average (i.e. arithmetic mean) of marks of all candidates in that subject; σ = Standard deviation of marks of all candidates in that subject; Mt = Average marks of top 0.1 % candidates (for subjects with 10000 or more appeared candidates) or top 10 candidates (for subjects with less than 10000 appeared candidates); St = 900 = Score assigned to Mt;   Sq = 350 = Score assigned to Mq.

 

Percentile
A candidate's percentile denotes the percentage of candidates scoring lower than that particular candidate. It is calculated as: Percentile = ( 1 - All India rank( No. of candidates in that subject) x 100%

 

Application of formula in CAT
The formula to calculate the percentile in CAT 2019 can be devised.  The score normalization process formula by CAT expert would be as follows-

 

Normalized mark (︿Mij) of jth candidate in ith slot, is given by
︿Mij = Mgt - MgqMti - Miq ( Mij - Miq ) + Mgq
where,

Mij is the actual marks obtained by the jth candidate in the ith slot,
Mgt is the average marks of the top 0.1 % candidates in all slots,
Mgq is the sum of mean and standard deviation of marks of all candidates in all slots,
Mti is the average of marks of top 0.1 % candidates in the ith slot,
Miq is the sum of mean and standard deviation of marks of all candidates in the ith slot.

 

Example of converting Score to Percentile

Total Test takers = 2,00,000

slots = 2

Test takers in each slot = 1,00,000                                    [ .1% of it = 100]

 

Mij  = 170 out of 300               ( is the actual marks obtained by the jth candidate in 

                                                   the 2nd slot)

Mgt = [195 + 190 ]/2 = 192      ( is the average marks of the top 0.1 % candidates of

                                                    both the slots)

here, 195  and 190 are the average of the top .1% aspirants of all slots

 

Mgq =  112                               (is the sum of mean and standard deviation of marks

                                                  of all candidates in both the slots)

Mti    =  190                               (is the average of marks of top 0.1 % candidates in 

                                                   the 2nd slot)

Miq    = 110                               (is the sum of mean and standard deviation of marks

                                                  of all candidates in the 2nd slot.)

 

So, according to the given formula, normalized score = (192-112)(170-110)/(190-110) + 112 = 172

 

165 core marks = Scaled score 195
Going by past trend and allowing for all the odds, if you score more than 200 marks with sectional score of 75 in VARC,  50 marks in DILR  and 45 marks in Quant, it could fetch 99+ percentile in CAT 2019. Another fact is that your raw score is not reflected on your score card. It is the scaled score which is reflected in your score card after IIMs complete the scaling process as detailed above. Your required raw score to get scaled score of 195 and achieve 99 percentile could be much less say, around 160 or 165 marks out of 300.

 

To a large extent it can be estimated that your total marks of 160 to 165 could award you a percentile of 98-99 in CAT. Besides a gap of 10 marks is expected to exist between the award of 99 and 100 percentile in CAT.

 

Read More: CAT 2019 - Exam Date, Registration, Syllabus, Preparation, Books

 

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