Statistics - How to use Chebyshev's Theorem

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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[@AnonymousC-lm6tc]

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]

same tbh

[@robinyourface]

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

[@MySecretMathTutor]

Happy to help! :^D

[@selimfurkandalgic9548]

i really love this guy

[@strivingforzen]

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!

[@ethanhicks1739]

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

[@virenbachani5305]

It sure did help!
Thanks a million

[@HasanMahmud-fn7wq]

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

[@soumyadeepchatterjee2189]

Thank you, Sir! You are great!

[@bishoyestasi8776]

Really appreciate your work and help

[@protiousofgentleheart6249]

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

[@joymwangi269]

very well explained .thanks !

[@lovisharora7604]

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

[@adammess]

so well explained wow

[@xbryanpx3095]

Thank you so much you made it 100 times easier

[@emirhan4899]

very good and enough explanations thanks a lot

[@ethanhall6750]

Appreciate you fam

[@yasiralsaidi8750]

thank you from Oman 🇴🇲

[@randomgrill969]

Bless you

[@tinkoana9279]

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

[@HarshadOSCM-]

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

[@lm4807]

Thank u so much

[@charlesosafo2668]

Thanks so much

[@isellmejia7436]

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]

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: ua-cam.com/video/n64puqeZWcU/v-deo.html
or use a calculator like the Ti-84: ua-cam.com/video/vSjs-Vehaf8/v-deo.html

[@michaelok5851]

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

[@deviice9228]

5months late but its the STAT button on the Ti84

[@nicholekeller2737]

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]

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

[@sakshamshah7327]

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??

[@technologyexpert4326]

U r best 👍

[@79warriorqueen]

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

[@stephk2558]

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

[@RazerAndBlade]

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.

[@alaataktokani8884]

thaaank you

[@Oscar-ku6jw]

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

[@martya1038]

What to do when k is less than 1?

[@joeseph1974]

1-¼... how did we get ¾ from that?

[@iloveroblox.11]

5:00 what formula is he using here? '

[@MySecretMathTutor]

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.

[@sweetrosedi]

you lost me with all the shortcuts I can't turn in shortcuts

[@anumek2606]

Oh ma God, maths difficult😢