Statistics - How to use the Empirical Rule

In this video we cover how to use the Empirical Rule for normal (bell-shaped) distributions. Remember that for real-world data that only approximately follows a normal distribution, these values will give you approximate percentages.
▬▬ Chapters ▬▬▬▬▬▬▬▬▬▬▬
0:00 Start
0:13 What is the Empirical Rule
0:57 Example 1, find the range
3:02 Example 2, find the percent
5:22 Wrap up information and ending
▬▬ Related Videos ▬▬▬▬▬▬▬▬▬▬▬
This video is related to many other topics. Check them out:
How to use Chebyshev's Theorem: • Statistics - How to us...
How to calculate the standard deviation: • Statistics - How to ca...
Find the mean: • Statistics - Find the ...
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[@ronnie7074]

I struggled for two days on some Stats homework about the empirical rule. Watched two minutes of this and BAM I understood it. Thank you so much!!!

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Crazy I couldnt understand it in my statistics class today. But you were so good at explaining it so you learned me to understand this term.

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I have a statistics test over this tomorrow and my professors never went over any of this. This was soooo helpful, thank you!

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This was the most helpful maths video I have ever watched. Thank you so much!!

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who also is addicted to these paper and pen videos . these people's explaining skills are on a different level

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Would you have to do standard error of mean in the same format ?

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This is so tempting to do for problems. This is because a lot of things are connected. For the videos I put in a bit of time coming up with a problems and sticking to the core idea. This helps keep me from wandering. :^D

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How do you know what the upper number is?

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Saved my life thanks

[@mahbubafatema7006]

For getting the k value for sd, why we are using upper range/value not lower range/value? Or can we use both, if so then the sd would be changed for rule

[@ArleighLauren]

doesn’t the mean and median need to be the same to be a normal bell-shaped distribution? I found the my data is skewed to the right, yet 100% of the data is within 2 SD from the mean.. did I do something wrong?

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I'm cramming for an exam rn and I cant express how thankful I am

[@halaalali2062]

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[@katerin4542]

Sir? how about suppose that at least 68% of scores in a normal distribution fall between a score of 7 to 10. you need to find the approximate mean and standard deviation of these data. i dont know how to solve it. can you help me?

[@hildyb676]

Hi this was a very helpful video, Thank you:) I was just wondering why for question 2 you did not also find the k value for the lower number in the interval?

[@paiges3146]

as I understand it...he did give you the K value once he solved it for the larger number. because its the same std (3) one is just plus and one is minus - the problem already gave the weight ranges. hope that helped.

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THANK YOU!!! :)

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[@kevinballou7822]

so by normal distribution for the first problem, would you say the distribution would also be either symmetrical or uniform? My statistics class uses different terminology on this.

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it helped thank you

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thank you so much omg

[@IsZhouyiran]

Omgg thats so easy!! Thznk you so much I hope i can pass and do well in my exam

[@heatherleclair8097]

what do we do if "k" ends up being a NEGATIVE 1, 2, or 3? do we just disregard the negative symbold?

[@mariacortes2137]

what does it mean if I get 0 for one percentage and 1 for another?

[@kaileefaye4495]

does anyone know how how he got 182.5 when doing the second example? he does 160 plus what?

[@millieempowers]

Thank you ! but You had me until the second example 😫 Why did you put K ? Does that represent the unknown percentage?

[@yarelimendez]

I appreciate you so much

[@nimra9775]

Hello sir! Is that 68,95 and 99 remain fixed for one, two and three standard deviations in spite of changing mean value in each question??

[@rizaprincessvargas7161]

thankyousomuch!!!

[@cinnamonro3344]

If you don't mind my asking, what do you do when you're subtracting and trying to find the percentage? And in what situation would you be subtracting

[@cinnamonro3344]

also thank you for the video, this saved a lil bit haha

[@blyp8856]

This just saved my math grade thank you

[@aziaarosemena453]

What if you get an example where K=0?

[@beriadumankaya6006]

THANK YOUU

[@Carm524]

How did you get the percentage 99.7%? From the answer 3?

[@enz5999]

How do I find the mean?

[@temirubyy]

You’re blessed.

[@theresawilson8557]

Do I do the same for the 137.5cm like you did for the 182.5cm?

[@MySecretMathTutor]

Should work if everything else is similar. :^D

[@vladtorcatoriu9080]

where did the 99.7 come from???

[@ethanlim3481]

saving me from my statistics test tmrw

[@KartiKM001]

Thanks :)

[@nicktalley9676]

how did you get 12?

[@Medhansh-bm7qn]

thanks

[@tonyluna9694]

Why the K? Where’d it come from?

[@derekbrooks2012]

why do you have the mean as x bar and not mu?

[@MySecretMathTutor]

x bar is what we use for the notation when we are talking about a sample. mu is the mean of a population.

[@heatherpsyd]

I went through an entire doctoral program, and this is the first time it's understandable to me. Thank you for this, and I'm sorry for disliking your passion so much. A lot of people dislike mine, too, so I feel your pain. I'm sure I'll be back. :)

[@MySecretMathTutor]

No worries. Math can be frustrating, even for people who study it. I'm glad this video was able to help you out. Keep up the good work. :^D

[@laurencarrizales8318]

in the second example, how did you come up with 99.7%? just a little lost on that part lol

[@laurencarrizales8318]

is it because the standard deviation is 3?

[@itsgarpson6679]

@@laurencarrizales8318 I’m confused on that part as well

[@michaelstewart6307]

Tell me why this makes more sense than my text book and teacher.....

[@kinkosam2167]

thank you got a 100 percent on my quiz after not understanding my teacher at all lol

[@MySecretMathTutor]

Nice work! :^D

[@peh11]

where did the 99.7 come from

[@rachelis7484]

it’s a rule. Go to the second 0.40 he says it there

[@itsgarpson6679]

@@rachelis7484 thank you

[@c3ramics]

Fun fact for engineers, this information is important for random vibration.

[@vimalkumar6519]

Thanks, for making it simple to understad Empirical rule

[@ericataylor1848]

Where did the 2 come from !?

[@MySecretMathTutor]

The 2 from the first example comes as a result of using the empirical rule. We want to know a range that captures 95% of our data. According to the rule, we'll need to look at 2 standard deviations on either side of our mean. :^D

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using this mid final

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[@dostonusmonov3756]

Suppose IQ(intelligence quotient) scores of people in the world is normally distributed with a mean of 100 and standard deviation of 16 A)what percent of people have IQ scores between 85and 115 B)provide the range of IQ scores for 99.7% of the population Can you solve B one I have solved A one please

[@heisenberg0022]

Guess who’s watching this on his midterm

[@rolandbautista1650]

Me😅