Math, asked by mahay8161, 1 year ago

What is the difference between the mean and the most probable value?

Answers

Answered by raaj25
2
According to an interesting study made several years ago, some statistical distributions present a particular feature of asymmetricity deviating from the bell curve.
The hint was given by the molecular gas velocity distribution. (I don't want to burden the subject, so I leave out the technical physical difference between velocity and speed). 

Gas molecules quickly move into the space by almost infinite possible directions, colliding with themselves and with the walls of the recipient they are contained. 
So the sum of the molecules velocities will produce a statistical distribution: few molecules will have a slow velocity or they even will be still, few molecules will be very fast or very slow in the moving process, the greatest number of those molecules will show a velocity around the mean value. 

The velocity limit of every molecule will be arranged into either the zero or the almost infinite gap ("almost" as a material body cannot pass the light speed cutoff). 
Therefore we see that just few extremely fast molecules will greatly raise the mean velocity, this one being higher than the most probable velocity produced by the greatest number of total molecules. 

Utilizing a simple physics chemistry equation we know that the mean velocity will be about 11% greater than the most probable velocity. 

Similarly we could apply such statistical distribution of random events to the gambling world.

Simplyfing, we should deduct that there's a difference between the mean value of apparition of a given event and its most probable value. 
That is the most probable value of a given event will be 11% greater than what the mean probability value dictates.

I hope it help you..
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