OpenTube

Central Limit Theorem - Sampling Distribution of Sample Means - Stats & Probability

The Organic Chemistry Tutor

1,117,100 views

This statistics video tutorial provides a basic introduction into the central limit theorem. It explains that a sampling distribution of sample means will form the shape of a normal distribution regardless of the shape of the population distribution if a large enough sample is taken from the population.

Statistics - Video Lessons:
https://www.video-tutor.net/statistic...

Final Exam and Test Prep Videos:
https://bit.ly/41WNmI9

__________________________________
Introduction to Statistics:
Introduction to Statistics

Introduction to Probability:
Introduction to Probability, Basic Overvie...

Central Limit Theorem:
Central Limit Theorem - Sampling Distribut...

Standard Error of The Mean:
Standard Error of the Mean

_____________________________________
Confidence Intervals & Margin of Error:
How To Find The Z Score, Confidence Interv...

Find The Z-Score Given Confidence Interval:
How To Find The Z Score Given The Confiden...

How To Calculate The Sample Size:
How To Calculate The Sample Size Given The...

Student's T-Distribution:
Student's T Distribution - Confidence Inte...

Confidence Interval-Population Proportion:
Finding The Confidence Interval of a Popul...

Chebyshev's Theorem:
Chebyshev's Theorem

_____________________________________
Hypothesis Testing - Null & Alternative:
Hypothesis Testing - Null and Alternative ...

Type I and Type II Errors:
How To Identify Type I and Type II Errors ...

One Tailed and Two Tailed Tests:
One Tailed and Two Tailed Tests, Critical ...

Test Static For Means & Pop Proportions:
Test Statistic For Means and Population Pr...

Hypothesis Testing Problems:
Hypothesis Testing Problems - Z Test & T S...

____________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
Patreon: collections

20 Comments

@TheOrganicChemistryTutor Creator 3 years ago (edited) Pinned

Statistics - Video Lessons: https://www.video-tutor.net/statistic.html
Final Exam and Test Prep Videos: https://bit.ly/41WNmI9

@stefanfinesse7521 5 years ago

Honestly from the bottom of my heart you saved me throughout Middle school, high school and college. Thank you so much. I hope u get rich and nothing bad ever happends to you

@Mangno-Vlogs 3 years ago

God plz..do not let this man disappear ever!

@kevinkrzywulak8590 2 years ago

This is ungodly complicated

@LoganHarrisRealEstateDMV1 2 years ago

00:02 Central Limit Theorem: Sampling distribution approximates a normal distribution.
03:05 Sampling distribution of sample means approximates a normal distribution.
09:49 The law of large numbers states that as the sample size increases, the mean of the sample gets closer to the population mean.
12:47 Increasing sample size decreases standard error
18:59 Understanding cumulative distribution function and probability calculations
21:52 Sampling distribution adds a standard deviation element and changes the mean notation.
28:01 Calculating probability for mean greater than 75
31:09 Understanding the distribution of mean exam scores for 50 students
36:57 Distribution for the mean of a hundred snackbars
39:47 Understanding population and sampling distributions in statistics.
46:24 Sampling distribution of sums in a normal distribution
49:32 Understanding the sampling distribution of sample means
56:00 Calculating the first and third quartiles using the Central Limit Theorem
59:08 Understanding the central limit theorem and solving associated problems.

@antighastly 2 years ago

Bro this guy is single handedly saving my whole degree...

@xoxaudie 5 years ago

Been watching your channel for about 3 years now, started as a junior in high school and now im a freshman in college, and you never fail to surprise me with how much you know and teach (:

@wrjazziel 5 years ago

You taught me calculus, now you are teaching me stats D: woooow, amazing! Thank you so much I'll go to your patron page :)

@odaigassan5330 4 years ago

Anybody else is annoyed that every time you want to like the video then find out that you already did

@ernestowusu6999 6 years ago

great piece of work

i now search anything i want to learn about on your channel first

@mrwind7556 6 years ago

You, sir, are a true hero. May the Lord reward you with the right path and happiness.

@leticiamal91 3 years ago

I hope you know how much we appreciate your videos. I’ve watched so many videos, read my teacher ‘s power points, read my textbook and nothing made it make sense like your video! I can’t thank you enough. 🙏🙏🙏

@AronnyoDatta 1 year ago

This man saved me in high school, he is now saving me in college . Total fucking legend🙏🙏

@gf3605 5 years ago

I'm in grad school and you do a better job at teaching in-depth and letting me understand the problems than my professor. I should've watched your videos instead of their lectures

@matt_fs 4 years ago

All the great information you covered in this video, took 3 classes (3 hours each) to cover all this material and examples in my university statistics class a few semesters ago. Amazing compiled content here!

@swenpai 1 year ago (edited)

So many tutors on Youtube, but I always end up coming back to this channel.

@Adam-de8yi 3 years ago

Just know that myself and all of my friends at uni rely on the material you put out!

@knockoffrem5102 9 months ago

The fact that this man has been helping me through my whole academic career from middle school to university is crazy. Statistics aren’t so bad anymore lmao. May both sides of your pillow always be cold and you always prosper in life you glorious genius