STATISTICS- What is Central Limit Theorem?

In this video we are going to understand about the Central LIMIT theorem.

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[arpitagec]

Simplicity at its best!😊
Thank you for guiding us in our journey towards our dream☺️
Happy Teacher's Day💐

[saramohammed]

This is the best and simplest explanation I found for this topic!! thank you very much

[pxedge]

#point
When we have the whole population, each data point is known so you are 100% sure of the measures we are calculating.

When we take a sample of this population and compute a sample statistic, it is interpreted as an approximation of the population parameter.
When the standard error increases, i.e. the means are more spread out, it becomes more likely that any given mean is an inaccurate representation of the true population mean.

As the sample size gets closer to the true size of the population, the sample means cluster more and more around the true population mean.
x-bar~u-miu (nearly equal to) when sample size increases towards population and standard error decrease.

[pydj]

what is the intuition of central limit theorem ? will it be used as statistic?

[ranjan]

Found no other way to wish you...

I believe...


I am obliged to you as for all your support and encouragement....


On the occasion of teachers day.


I bow down to you

[ThePlanetMusk]

i just started following your are very enthusiatic person Krish...

[GauravPadawe]

Central Limit Theorem is one of the most important concept in ML.

[niveshtayal]

Great Explanation but what is the use to this theorem and when to use this?? Please explain...

[andrewtumwine]

Krish you are the best teacher. Kindly teach us more on logs odds for upper and lower limit odds ratios. Thanks

[rishitaahlawat]

thank you so much it is explained so clearly

[vishal]

thanks. You give your best. Very nicely explained

[Shriyanshi_]

simply explained ..got concept on CLT thank you so much

[hfb]

Very clear explanation, thank you so much!

[vashistnarayansingh]

Since mean is the average value and if we plot avg value of 100 samples of size say 30 each the. We get the normal distribution hence after that if we use the 68, 95 and 99 rule of normal distribution the result will be the results of those avg right for example for we can say 68% of the mean of the of all the samples will lie between (u - 1sigma, u+1sigma ) where u is the mean of the normal distribution and sigma is the standard deviation ?

[sandipansarkar]

Very good explanation of Central Limit Theorem.Thanks

[ishankkapoor]

@Krish Naik - how we can take samples from a random variable as per the starting point in this video.

[subbaiyanmurugesan]

Which book is best for central limit theorem sir?

[tharinduadikari]

thank you very much sir. your teaching style is great.

[Songvbm]

could you please make a video regarding the differences and relations between clt and t-statistic and how t-statistic behave in an asymptotic setting?

[MadhuSudhan-nnbd]

correct me if I'm wrong, so using clt we get the bell-shaped curve and with that, we can further do the rule of thumb ( 68-95-99%), and also please tell me what does Chebyshev's inequality do?