Statistics - How to use Chebyshev's Theorem

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In this video I cover at little bit of what Chebyshev's theorem says, and how to use it. Remember that Chebyshev's theorem can be used with any distribution, and that it gives a lower proportion of what we can expect in the actual data.
▬▬ Chapters ▬▬▬▬▬▬▬▬▬▬▬
0:00 Start
0:04 What is Chebyshev's Theorem
0:46 Example 1: Compare Chebyshev's Theorem with the actual value
4:00 Example 2: Find the minimum percentage that falls in a given range
6:29 Wrap up information and ending
▬▬ Related Videos ▬▬▬▬▬▬▬▬▬▬▬
This video is related to many other topics. Check them out:
Find the mean: • Statistics - Find the ...
How to calculate the standard deviation: • Statistics - How to ca...
Introduction to Statistics: • Statistics - Introduct...
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Опубликовано:

23 июл 2024

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Комментарии : 44

@AnonymousC-lm6tc 3 года назад

Thank God for you! I did not understand this when my professor explained it, but now I will ace my homework thanks to you!

@a_supply_drop8561 Год назад

same tbh

@robinyourface 4 года назад

I've been struggling in my graduate level Stats for Experimenters class and your instruction is SO helpful. Thank you!

@MySecretMathTutor 4 года назад

Happy to help! :^D

@ethanhicks1739 Год назад

Thank you very much! I was stuck on a problem like this for over an hour.

@strivingforzen Год назад

Thankyou so much, this theorem is on my homework but the teacher and textbook haven't taught us this yet lol..so thankfully found your video!

@selimfurkandalgic9548 4 года назад

i really love this guy

@virenbachani5305 3 года назад

It sure did help! Thanks a million

@bishoyestasi8776 3 года назад

Really appreciate your work and help

@protiousofgentleheart6249 2 года назад

Bro just came in clutch helping me finish the last question on my test, much thanks

@HasanMahmud-fn7wq 3 года назад

i can not thank you enough for this. you saved my grade sir

@soumyadeepchatterjee2189 3 года назад

Thank you, Sir! You are great!

@joymwangi269 3 года назад

very well explained .thanks !

@lovisharora7604 3 года назад

Nice lecture 👌. Helps me to solve my assignment question. Love from India❤️

@emirhan4899 2 года назад

very good and enough explanations thanks a lot

@xbryanpx3095 3 года назад

Thank you so much you made it 100 times easier

@adammess 3 года назад

so well explained wow

@lm4807 Год назад

Thank u so much

@ethanhall6750 3 года назад

Appreciate you fam

@79warriorqueen 2 года назад

how did you plug in the 30 data points for the SD and mean on the calculator ?

@randomgrill969 3 года назад

Bless you

@charlesosafo2668 2 года назад

Thanks so much

@sakshamshah7327 Год назад

I have one question what if I want to know how much data lie between two different standard deviation. here both lower limit and upper limit ($22000 and $50000 respectively) are equally apart from mean . what if I want to calculate data between lets say $25000 to $60000?? do i need to calculate k value for both limit and substract the percentage between them??

@HarshadOSCM- 3 года назад

Sir which type of calculator you used ? please tell me model name & price & from where i can buy this type of calculator

@yasiralsaidi8750 4 месяца назад

thank you from Oman 🇴🇲

@tinkoana9279 2 года назад

Wish u were my math teacher... thought statistics was hard buh you make it so simple to understand 🔥🔥why do most math teachers make simple things so hard aaaaaaaaa

@Oscar-ku6jw Год назад

But what if the distance between the two intervals are not equal in distance from the mean?

@michaelok5851 3 года назад

where did you go on the calculator that looks for all the info (mean, etc)

@deviice9228 3 года назад

5months late but its the STAT button on the Ti84

@technologyexpert4326 Год назад

U r best 👍

@isellmejia7436 4 года назад

Hi, Could you please explain to me why you got 12.82 as Standard diviation? I got 38.92 as my Standard sample diviation. I already watched your previous videos, but I still dont get the same result than yours. Thanks

@MySecretMathTutor 4 года назад

I double check the calculations and it seems like the 12.82 is good. For help on standard deviations you can check out the formulas and calculate by hand: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-n64puqeZWcU.html or use a calculator like the Ti-84: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-vSjs-Vehaf8.html

@martya1038 3 года назад

What to do when k is less than 1?

@alaataktokani8884 3 года назад

thaaank you

@stephk2558 3 года назад

Where does the 3 come from in Chebyshev's theorem? How does 1- 1/4 turn into 3/4?

@RazerAndBlade 3 года назад

Know it's a month late, but 1 - 1/4 means in order to subtract, you need to turn 1 into a fraction with the same denominator as 1/4, so 4/4. Then do the subtraction of 4/4 - 1/4 which gives you 3/4.

@joeseph1974 Год назад

1-¼... how did we get ¾ from that?

@iloveroblox.11 5 месяцев назад

5:00 what formula is he using here? '

@MySecretMathTutor 3 месяца назад

At that time, I'm just interpreting the problem. The average is 36,000 so I'm adding some number of standard deviations to get 50000. For example 31000 + (1)(4100) would put you at 1 standard deviation above the mean. 31000 + (5)(4100) would put you at 5 standard deviations above the mean. So I'm trying to figure out how many standard deviations above the mean the 50000 is.

@nicholekeller2737 3 года назад

So basically, using Chebyshev, means you're always "at least 75%?" I don't understand the point of the little formula if it always means 75%. What am I missing?

@anuragsahu2893 2 года назад

It depends upon the value of "k" i.e. the number of standard deviations away from mean. If its 2 standard deviations away from mean then yes the data is always within 75% atleast. Similarly for 3 standard deviations the spread of data always lies within 89% ,and so on & so forth. Hope this helps