This year Cheenta Statistics Department has done a survey on the scores in each of the sections along with the total score in IIT JAM MS. Here is the secret for you!

We have normalized the score to understand in terms of percentage.

There are three questions, we ask

1. The general performance for the IIT JAM MS 2021 exam. 
2. How did the students answer questions in the exam? (General)
3. What did the toppers do differently? What mistakes did the low scorers do? (Genera;)

General Overview for IIT JAM MS 

Total Score in IITJAM 2021 MS

Normal QQPlot for the data (Umm… it kinda follows normal!)

Summary 

Total Score in IITJAM 2021 MS ~ Normal(35.8, 12.7²)

Section A

Normal QQPlot 

Summary

% in IITJAM 2021 MS Section A ~ Normal (38.6 15.7²)

Section B

Normal QQ Plot (it doesn’t look like normal!)

Histogram (It looks like it follows exponential distribution)

Summary

% in IITJAM 2021 MS Section B~ Exponential(Mean = 30.18)

Section C

Normal QQPlot

Summary

% in IITJAM 2021 MS Section C~ Normal (35.1, 18.1²)

Question 2:

How did the students in general answer the questions? 

What is the percentage of marks the people scored in section A?

Summary

Mean = 53.37
Standard Deviation = 11.11

What is the percentage of marks the people scored in section B?

Summary

Mean = 16.67
Standard Deviation = 12.14

What is the percentage of marks the people scored in section C?

Summary

Mean = 30.11
Standard Deviation = 12.68

Question 3:

What mistakes did the low scorers do? What did the toppers do differently?

Low Scorers

Section A: 46
Section B: 17
Section C: 38
Total Score: 18

Their marks decreased with Section B score.

Their marks increased with Section C score.

Mid Scorers

Section A: 54
Section B: 17
Section C: 29
Total Score: 37

Their marks remains unperturbed by what they did.

Top Scorers

Section A: 57
Section B: 17
Section C: 26
Total Score: 54

Their marks decreased with Section A score.

Their marks increased with Section B score.

Question 4:

What is the conclusion? Which sections do I need to give more importance to? How do I manage my time?

1. Score in Section A (MCQ) to 50 % of the correct answers
2. Score in Section C (NAT) to 30 % of the correct answers
3. Score in Section B (MSQ) to 20% of the correct answers
4. MSQ will make a difference in the top ranks. 

Exercise

Why did the score in MSQ follow an exponential distribution?

Information for You:

There is a distribution called Weibull Distribution, which fits all the cases equally well, and its limiting case is Exponential Distribution. 

Do you think marks can be well modelled by Weibull Distribution?

Thanks,

Cheenta Statistics Department