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
Normal QQPlot for the data (Umm… it kinda follows normal!)
Summary
Total Score in IITJAM 2021 MS ~ Normal(35.8, 12.7²)
Normal QQPlot
Summary
% in IITJAM 2021 MS Section A ~ Normal (38.6 15.7²)
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)
Normal QQPlot
Summary
% in IITJAM 2021 MS Section C~ Normal (35.1, 18.1²)
Summary
Mean = 53.37
Standard Deviation = 11.11
Summary
Mean = 16.67
Standard Deviation = 12.14
Summary
Mean = 30.11
Standard Deviation = 12.68
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.
Section A: 54
Section B: 17
Section C: 29
Total Score: 37
Their marks remains unperturbed by what they did.
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.
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?
Cheenta Statistics Department