What is Central Limit Theorem in Statistics ? | Inferential statistics | Explained with Example

This short animated video explains the concept of Central Limit Theorem in Statistics. It covers Introduction to the central limit theorem and the sampling distribution of the mean. Central Limit Theorem is a big deal, but it's easy to understand. Here I show you what it is, then I describe why this is useful and fundamental to Statistics!
🎭 𝐒𝐮𝐛𝐬𝐜𝐫𝐢𝐛𝐞 𝐦𝐲 𝐘𝐨𝐮𝐓𝐮𝐛𝐞 𝐂𝐡𝐚𝐧𝐧𝐞𝐥 : / digitalelearning
📹 𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐬 𝐕𝐢𝐝𝐞𝐨𝐬
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🎬 𝐏𝐨𝐢𝐬𝐬𝐨𝐧 𝐃𝐢𝐬𝐭𝐫𝐢𝐛𝐮𝐭𝐢𝐨𝐧 : • Poisson Distribution i...
🎬 𝐒𝐢𝐦𝐩𝐥𝐞 𝐋𝐢𝐧𝐞𝐚𝐫 𝐑𝐞𝐠𝐫𝐞𝐬𝐬𝐢𝐨𝐧 : • What is Simple Linear ...
🎬 𝐒𝐭𝐮𝐝𝐞𝐧𝐭'𝐬 𝐭-𝐭𝐞𝐬𝐭 : • What is Student's t-te...
🎬 𝐀𝐍𝐎𝐕𝐀 (𝐀𝐧𝐚𝐥𝐲𝐬𝐢𝐬 𝐨𝐟 𝐕𝐚𝐫𝐢𝐚𝐧𝐜𝐞) : • What is ANOVA (Analysi...
🎬 𝐁𝐢𝐧𝐨𝐦𝐢𝐧𝐚𝐥 𝐃𝐢𝐬𝐭𝐫𝐢𝐛𝐮𝐭𝐢𝐨𝐧 : • Binominal Distribution...
🎬 𝐂𝐞𝐧𝐭𝐫𝐚𝐥 𝐋𝐢𝐦𝐢𝐭 𝐓𝐡𝐞𝐨𝐫𝐞𝐦 𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐬 : • What is Central Limit ...
🎬 𝐂𝐡𝐢 𝐒𝐪𝐮𝐚𝐫𝐞 (χ𝟐) 𝐝𝐢𝐬𝐭𝐫𝐢𝐛𝐮𝐭𝐢𝐨𝐧 (𝐆𝐨𝐨𝐝𝐧𝐞𝐬𝐬 𝐨𝐟 𝐅𝐢𝐭) : • What is Chi Square (χ𝟐...
🎬 𝐏-𝐯𝐚𝐥𝐮𝐞 𝐢𝐧 𝐡𝐲𝐩𝐨𝐭𝐡𝐞𝐬𝐢𝐬 𝐭𝐞𝐬𝐭𝐢𝐧𝐠 : • What is P-value in hyp...
🎬 𝐍𝐨𝐫𝐦𝐚𝐥 𝐃𝐢𝐬𝐭𝐫𝐢𝐛𝐮𝐭𝐢𝐨𝐧 𝐢𝐧 𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐬 : • What is Normal Distrib...
🎬 𝐓𝐲𝐩𝐞 𝟏 𝐄𝐫𝐫𝐨𝐫 𝐕𝐬 𝐓𝐲𝐩𝐞 𝟐 𝐄𝐫𝐫𝐨𝐫 𝐢𝐧 𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐬 : • What is Type 1 Error V...
🎬 𝐒𝐜𝐚𝐥𝐞𝐬 𝐨𝐟 𝐌𝐞𝐚𝐬𝐮𝐫𝐞𝐦𝐞𝐧𝐭 𝐢𝐧 𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐬 : • Scales of Measurement ...
🎬 𝐇𝐲𝐩𝐨𝐭𝐡𝐞𝐬𝐢𝐬 𝐓𝐞𝐬𝐭𝐢𝐧𝐠 : • What is Hypothesis Tes...
🎬 𝐇𝐲𝐩𝐨𝐭𝐡𝐞𝐬𝐢𝐬 𝐓𝐞𝐬𝐭𝐢𝐧𝐠 𝐒𝐨𝐥𝐯𝐞𝐝 𝐏𝐫𝐨𝐛𝐥𝐞𝐦𝐬 ? • Hypothesis Testing Sol...
🎬 𝐂𝐨𝐧𝐟𝐢𝐝𝐞𝐧𝐜𝐞 𝐈𝐧𝐭𝐞𝐫𝐯𝐚𝐥 𝐢𝐧 𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐬 : • Confidence Interval in...
🎬 𝐒𝐚𝐦𝐩𝐥𝐢𝐧𝐠: 𝐒𝐚𝐦𝐩𝐥𝐢𝐧𝐠 & 𝐢𝐭𝐬 𝐓𝐲𝐩𝐞𝐬 : • Sampling: Sampling & i...
📹 𝐋𝐞𝐚𝐧 𝐒𝐢𝐱 𝐬𝐢𝐠𝐦𝐚 𝐕𝐢𝐝𝐞𝐨𝐬
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►Lean Manufacturing : • What is Lean Manufactu...
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►8 Lean Manufacturing wastes: • 𝟴 𝗪𝗮𝘀𝘁𝗲𝘀 𝗼𝗳 𝗟𝗲𝗮𝗻 𝗠𝗮𝗻𝘂𝗳...
►5S Methodology: • What is 5s methodology...
►GEMBA Walk : • What is Gemba : Where ...
►SIPOC Diagram: • What is SIPOC diagram ...
►Lean Pull vs Push : • Lean Pull vs Push | Ju...
►POKA YOKE (Mistake Proofing): / v0ygowej2k
►Just in Time: • What is Just-in-Time (...
►TQM - Total Quality Management : • What is TQM (Total Qua...
►TPS - Toyota Production System : • What is Toyota Product...
►TPM - Total Productive Maintenance : • What is TPM -Total Pro...
📹 𝐐𝐮𝐚𝐥𝐢𝐭𝐲 𝐓𝐨𝐨𝐥𝐬 𝐕𝐢𝐝𝐞𝐨𝐬
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►7 Basic Quality tools : • What are the 7 basic q...
►FMEA (Failure Modes & Effect Analysis) : • What is FMEA (Failure ...
►Fishbone Diagram : • What is Fishbone Diagr...
►5 Why Root Cause Analysis: • 5 Whys Root Cause Anal...
►Quality Assurance vs Quality Control : • What is the difference...
►Plan Do Check Act (PDCA cycle) : • What is PDCA - Plan D...
📹 𝐏𝐫𝐨𝐣𝐞𝐜𝐭 𝐌𝐚𝐧𝐚𝐠𝐞𝐦𝐞𝐧𝐭 𝐕𝐢𝐝𝐞𝐨𝐬
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►What are SMART Goals? : • SMART Goals settings -...
►Project Charter Basics: • What is Project Charte...
►Benchmarking : • What is Benchmarking ?...
►5W1H : • What is the 5W1H Metho...
►BCG Matrix : • BCG Matrix in Straterg...
⏱️ 𝑻𝒊𝒎𝒆 𝑺𝒕𝒂𝒎𝒑 ⏱️
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0:00 - Introduction
00:27 - Population Vs Sample Difference
01:32 - What is Central Limit Theorem
04:35 - Sample size Relationship
05:15 - Example of Central Limit Theorem
08:41 - Quiz time
📢📢 𝑶𝒖𝒓 𝑺𝒐𝒄𝒊𝒂𝒍 𝑴𝒆𝒅𝒊𝒂 𝑳𝒊𝒏𝒌:
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Copyright Disclaimer under section 107 of the Copyright Act of 1976, allowance is made for “fair use” for purposes such as criticism, comment, news reporting, teaching, scholarship, education and research. Fair use is a use permitted by copyright statute that might otherwise be infringing. The information contained in this video is just for educational and informational purposes only and does not have any intention to mislead or violate Google and UA-cam community guidelines or policy. I respect and follow all terms & conditions of Google & UA-cam.
𝐂𝐨𝐦𝐦𝐨𝐧 𝐊𝐞𝐲 𝐬𝐞𝐚𝐫𝐜𝐡 𝐫𝐞𝐥𝐚𝐭𝐞𝐝 𝐭𝐨 𝐭𝐡𝐢𝐬 𝐭𝐨𝐩𝐢𝐜 :
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#central_limit_Theorem #statistics #sixsigma #leansixsigma
What is central limit theorem explain?
What is central limit theorem formula?
Central Limit Theorem Explained
Central Limit Theorem - Definition, Formula, Examples
What Is Central Limit Theorem and Its Significance
Examples of Central Limit Theorem
Central Limit Theorem Formula

[@DigitalELearning]

👀 Hello Friends, 𝐉𝐨𝐢𝐧 my 𝑺𝒐𝒄𝒊𝒂𝒍 𝑴𝒆𝒅𝒊𝒂 𝑳𝒊𝒏𝒌 for regular updates:
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🙋🏻‍♂𝐖𝐡𝐚𝐭𝐬𝐀𝐩𝐩 (𝐒𝐢𝐱 𝐒𝐢𝐠𝐦𝐚 (𝟔σ ) : whatsapp.com/channel/0029VaEWKWbIiRovZpAduc0p
🙋🏻‍♂𝐖𝐡𝐚𝐭𝐬𝐀𝐩𝐩 (𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐬 & 𝐑𝐞𝐬𝐞𝐚𝐫𝐜𝐡) :whatsapp.com/channel/0029VaAGwzTDJ6H9S5Q4Ow0m
🙋🏻‍♂𝐖𝐡𝐚𝐭𝐬𝐀𝐩𝐩 (𝐏𝐫𝐨𝐣𝐞𝐜𝐭 𝐌𝐚𝐧𝐚𝐠𝐞𝐦𝐞𝐧𝐭) :whatsapp.com/channel/0029Va8slQdEAKWAhXoQK13B
🙋🏻‍♂𝐖𝐡𝐚𝐭𝐬𝐀𝐩𝐩 (𝐐𝐮𝐚𝐥𝐢𝐭𝐲 𝐀𝐬𝐬𝐮𝐫𝐚𝐧𝐜𝐞 & 𝐐𝐮𝐚𝐥𝐢𝐭𝐲 𝐂𝐨𝐧𝐭𝐫𝐨𝐥) :whatsapp.com/channel/0029VaAKJBGKGGGDjcK4mw2h

[@prerana306]

Hello sir thanku so much

[@mitali8631]

What a nice explanation 🥰 concept is crystal clear 🥰🙂

[@DigitalELearning]

Thank you 🙂

[@iamkraj]

how easily you explain sir 🙌🙌 great

[@DigitalELearning]

Thanks a lot Kraj

[@rasikajoshi4607]

very well explained .thanks

[@nagaprasadnv6728]

Hi Sir Your vidros are very good for edicational and training purposes. Can u make a video on whole six sigma DMAIC

[@DigitalELearning]

Thank you! 👍 Already uploaded the video on DMAIC on my UA-cam channel.

[@ybyjy7528]

I have a question, nowthat CLM holds when n > 30, why it is possible to apply CLM when 4 cats are chosen in your question?

[@ybyjy7528]

I'm not good at english, please pardon me for the mistakes in my words.

[@ambedkardhaba9077]

Awesome. He explains it very well.

[@DigitalELearning]

Ambedkar. Glad you liked it 😎

[@owaiskarni825]

Very well explained

[@DigitalELearning]

Thanks for liking

[@vidhithakker5092]

to apply CLT sample size should be greater or equal to 30 but in your example you have taken sample size of 4

[@abhaynishesh]

There are four samples and each sample contains more than 30 element

[@praveenchandrasrivastava6557]

@@abhaynishesh so the sample size is more than 30 right? and so we should divide the population mean with root of sample size and not by the root of number of samples.

[@abhaynishesh]

@@praveenchandrasrivastava6557
Yes
Each sample has greater than 30 elements ( here more than 30 students whose height and weight are being taken),. And finding Z value he divided population standard deviation by root of no of samples

[@pandiyarajc2941]

Kindly do some vedios on
Project management
RRCA
Process capabilities study
Sampling inspection

[@DigitalELearning]

Hi Pandiyaraj , Thanks for the suggestions. However, you will find some of these videos already in my Channel. Please check

[@hamzaharris9716]

what if the last line of questions says find the probablity that weight lies between so and so..then what will we do with the Zvalues??plz answer coz tomorrow is my exam

[@DigitalELearning]

If the question asks for the probability that the weight lies between certain values, you find the Z-values for those values and then find the probability using the Z-table or calculator. The process is similar, just with different Z-values. Always make sure to check whether the Z-table or calculator provides probabilities for the specific range you're interested in.

[@user-mg2cf6hb9g]

Thank you

[@DigitalELearning]

You're welcome

[@rahultech9510]

first ans true
second flase

[@DigitalELearning]

Correct Rahul

[@mahendraprasadyadav806]

Add is not required

[@DaaniaKhalith]

Why subtracting 0.5 from z value, sir please explain

[@nskshivakumar2257]

It is not necessarily sir mistake

[@indranigogoi5190]

since it's a two tail test, we must take the half of the z value.

[@ImodhaHarshana]

It is not a 2 dies question.this is a cat question

[@DigitalELearning]

In normal distribution numerical questions, we sometimes subtract 0.5 from the z-value for two main reasons:
1. Continuity Correction :Subtracting 0.5 accounts for the fact that the probability of a specific value (like 2.5) is actually the probability between 2 and 3.
2) Area calculation for "less than or equal to" situations: Since we only want the probability greater than the z-value, we subtract 0.5 to account for the area already included in the table (below the z-value).

[@nishatahmadrather6074]

Why 30?

[@sebamalairoy1958]

z value =0.9994

[@keerthikababu8445]

1 a
2 b

[@DigitalELearning]

Correct Keerthika 😎

[@DigitalELearning]

👀 Hello Friends, 𝐉𝐨𝐢𝐧 my 𝐖𝐡𝐚𝐭𝐬𝐀𝐩𝐩 𝐂𝐡𝐚𝐧𝐧𝐞𝐥𝐬 for regular updates:
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1) 𝐋𝐞𝐚𝐧 𝐬𝐢𝐱 𝐬𝐢𝐠𝐦𝐚: whatsapp.com/channel/0029VaAUuqs4inooet3e4S3O
2) 𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐬 & 𝐑𝐞𝐬𝐞𝐚𝐫𝐜𝐡 : whatsapp.com/channel/0029VaAGwzTDJ6H9S5Q4Ow0m
3) 𝐏𝐫𝐨𝐣𝐞𝐜𝐭 𝐌𝐚𝐧𝐚𝐠𝐞𝐦𝐞𝐧𝐭: whatsapp.com/channel/0029Va8slQdEAKWAhXoQK13B
4) 𝐒𝐢𝐱 𝐒𝐢𝐠𝐦𝐚 (𝟔σ ) : whatsapp.com/channel/0029VaEWKWbIiRovZpAduc0p
5) 𝐐𝐮𝐚𝐥𝐢𝐭𝐲 𝐀𝐬𝐬𝐮𝐫𝐚𝐧𝐜𝐞 & 𝐐𝐮𝐚𝐥𝐢𝐭𝐲 𝐂𝐨𝐧𝐭𝐫𝐨𝐥 : whatsapp.com/channel/0029VaAKJBGKGGGDjcK4mw2h

[@chenchunivedhak.s2415]

1. True
2. False