CMAT Score Vs Percentile

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CMAT 2020 Result will be declared at 5 PM on February 8, 2020. CMAT score leading to percentile may go up or down depending upon the exam difficulty level, number of candidates appearing in CMAT among other factors. Last year CMAT score for 100 percentile shot up to 372 total marks out of 400 and the CMAT score cut off for 99 percentile had also gone up to 310 marks. The last year CMAT result merit list included 54516 candidates who appeared in the CMAT exam. It is expected that 55000 to 60000 candidates will appear in CMAT 2020 on January 19, 2020.  

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With the rise in CMAT score Vs percentile for top percentile range last year, the CMAT scores for other percentile range had also gone up in the same manner. While there may not be any change in the MBA colleges accepting CMAT percentile, the candidates obtaining higher/lower raw score in CMAT 2020 may be able to achieve the same percentile depending upon the exam difficulty level.

 

Last year CMAT exam was rated as of easy to moderate difficulty level and this led to higher score leading to low percentile.

 

Last Year CMAT Score Vs Percentile: Actual by MBAUniverse.com
NTA awarded a lower percentile at higher CMAT score in 2019 as compared to last year CMAT score Vs percentile pattern. The CMAT raw score that fetched respective percentile for MBA admission as announced in the CMAT result is shared below:

CMAT Score Range
Percentile
Below 153
Below 41
153-171
41-50
172-189
51-60
190-210
61-70
211-234
71-80
235-247
81-85
248-261
86-89
262-281
90-94
282-360
95-97
300-361
98-99.99 (No Candidate Between 361 to 372)
372
100

CMAT Score Vs Percentile: Calculation Process
The National Testing Agency (NTA) has devised the process to obtain CMAT percentile score with raw score in CMAT exam. For example a raw score of 170 in CMAT has awarded 50 percentile and with a score of 250 to 300 you are awarded a percentile of 85 to 98. The score Vs Percentile calculation process in CMAT exam goes through various stages. Let us know the CMAT score Vs Percentile as calculated by NTA for MBA admission

  • Your Raw sectional and overall score obtained in CMAT exam.
  • Before calculating percentile, CMAT score is equated and normalized for the difficulty level for both the exam shifts of CMAT exam
  • This raw CMAT score is converted to Scaled score
  • The scaled CMAT score is converted to percentile score.

CMAT 2020 scoring pattern
Chances to increase score in CMAT 2020 are improved with the introduction of more than one CMAT exam shift. Following is the scoring pattern in CMAT 2020:

  • Maximum marks 400
  • Total questions are 100
  • 4 marks awarded for each correct answer
  • -1 mark for every wrong answer
  • CMAT Score card contains Raw as well as Percentile score
  • CMAT 2020 will be held in two shifts
  • Now CMAT score for both shifts has been taken into account and equated and normalized with the difficulty level for both the exam shifts.

Score scaling and Score Normalization lead to percentile score
The process of converting the raw CMAT score to percentile score again depends upon many factors – number of candidates who have appeared in CMAT exam, difficulty level of slot-1 and slot-2 question paper. Taking all this into account 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 CMAT scores have also brought about certain changes as both the components take into account the level of difficulty in both the sessions of CMAT exam. While the Normalization process, as announced for CMAT 2020 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.

 

CMAT claims to have the most transparent process on score normalization and calculation of percentile. The process claims to focus on Fairness, Equity and comparison of performances across both the test sessions in CMAT 2020.

 

GATE pattern to convert score to percentile
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 CMAT 2020, 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 in CMAT 2020 still remain oblivious of the percentile VS Score calculation formula in CMAT 2020.

 

GATE normalization process 
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 CMAT 2019
The formula to calculate the percentile in CAT 2018 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
Sample of 200,000 candidates taking CMAT, assuming that the maximum exam score is 300 (In place of actual 400) is taken below for ready reference. You can change it to 400 maximum marks and can fresh calculate the same.

 

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