How To Calculate The Standard Deviation
This Statistics video tutorial explains how to calculate the standard deviation using 2 examples. You need to calculate the mean before you can calculate the sample standard deviation.
Introduction to Statistics: • Introduction to Statis...
Arithmetic, Geometric, & Harmonic Mean:
• Arithmetic Mean, Geome...
Cumulative Relative Frequency Table:
• How To Make a Cumulati...
Quartiles, Deciles, & Percentiles:
• Quartiles, Deciles, & ...
Interquartile Range & Outliers:
• How To Find The Interq...
___________________________________
Skewness & Symmetric Distribution:
• Skewness - Right, Left...
Sample Mean and Population Mean:
• Sample Mean and Popula...
Mean, Median, & Mode - Grouped Data:
• Mean, Median, and Mode...
Standard Deviation:
• How To Calculate The S...
Variance:
• How To Calculate Variance
___________________________________
Mean Absolute Deviation:
• Mean Absolute Deviatio...
Standard Deviation of Grouped Data:
• How To Calculate The S...
Introduction to Probability:
• Introduction to Probab...
Probability Formulas:
• Probability Formulas, ...
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There is a miscalculation at 1:25 it was supposed to be 81
First off thanks for the great video! Made a lot of sense and was really easy to follow. Secondly, for the last question, when I typed the equation into my calculator I got the answer of 137.1111111 ☠️, I'm not sure where I went wrong lol, I was wondering if you could please help me 🙏
@spikes6884 - yeah I’ve got the same results as yours too and double checked got that same results- 1234/9=137.111
JG just a suggestion, 1st thanks for everything you got my through when my professors couldn't... Now, idk if you're familiar with any of the data analysis tests but if so it would be awesome if you did videos on those. Maybe just explaining them you know the T-tests, Chi, Mann etc... and maybe even how to learn to choose those tests. I'm done with school but data/statistics is something you just have to keep at so I always look for vids & study and no one explains like you ❤!!! Thanks again for everything.
I wish I could meet this guy and give him a real tight hug.
If u want then u can hug me ..😝🤭
@@educatoracdmey9700 that's creepy as.
Hug me instead
yo I can teach you the same thing better
@@Dev-ic8nu yess I do this ..
Guys were all cooked. Got an end of year exam in 5 days. Have only started revising now😂😂😹😹🗣️🔥🔥🔥🔥
Who’s we 😭
2 hours first I’m learning this
me rn... I used chatgpt for all the hw
Got my mid in 5 hours 😍 this is the first time I’m studying this shit
mines in an hour 😭😭😭
This is CLEARLY the best instruction method. You are Patient, detailed and well spoken....you have helped me out tremendously! We need more folks like you in the math world
Cap ion understand this shit
Thanks it finally clears to me
@@erickmartinez5027 yh bc its bs lmao
@@Mystix225 nah lmao yall just slow
@@greyjedi6670 no just America does it weird lol
This one video makes up for the 5 days I did not pay attention in algebra class
facts
ALGEBRA? omg this is for my stats class wtf
@@lizzyportillofficial really this is stats ? this was like the beginning of my algebra
@@lizzyportillofficial BRO FACTS- I’m taking stats rn and I forgot everything about standard deviation
Um yeah trying to figure this stuff out for school and your videos have been a great help but I am a little confused on where the -1 came from that you subtracted from the N value of 5
this video was posted after I've failed in my statistics final exam, but it's here now to I can watch to not fail again. Thanks to this guy I was able to pass my general chemistry and organic chemistry, now I'd pass my statistics exam
I failed collage algebra three times. Finally took statistics and I passed with a B+
@@miw24601 wow that’s so cool. Wish I could get this grade as well. Good luck
@@mashachan2437 due to covid-19, here in California we’re doing online school & i passed ap stats with a B only bc i was able to cheat on my test
@@cesarurzua8234 oh my god! You’re so lucky, on exams we had to do them in university because they didn’t want us to cheat
My problem is that I am looking for a short cut because Jeezus, my Prof gave me a set with 25 values.
I love how the screen is black so I can see the reflection of myself crying with frustration (not because of the video, because my lesson explained it so poorly)
currently crying lol
@@matthewsalinas8500 oh no, I hope you were eventually able to understand it!! math tears are the worst 😫
I’m sorry I laughed at this- I feel you man.
🤣
Your professor is using Hawkes learning too huh? cause f that. their lessons suck fr
My math professor just writes certain things out and makes tables without explaining why its almost like she's just following a script and its hard to grasp what they're trying to teach so I'm really glad I found this video thank you.
Yep most of them are in it for the money
Yea 🤦🏽♀️💯
Being able to play, pause, play, replay as many times as needed a class, IS THE TRUE MAGIC ❤️
I don't know who this guy is, but a HUGE THANK YOU!!!!!!!!!!!! Life saver!
You are a LEGEND, sir! I didn't understand this in college and I found it so confusing but now it is so easy with your very easy explanation! I thank you, sir!
I wish high school teachers taught like this.
Ikr
Their examples are too complicated but with this guy right here everything is just so easy
We hope so
Ye bro
i wish any teacher taught like this
I'm taking Statistics this semester and you are my angel. I was struggling but not anymore and all thanks to you. Absolutely amazing 👌 I aced the sample tou had us try without your help. I'm proud of myself and you've built my confidence in math 🥰
give me past papers
This was a better explanation than how my professor was teaching my class. Thank you!😊Might actually pass my exam now.
You explained in 7mins what my teacher couldnt in a whole year. Thank you ❤
Wow!! I have went through so many different videos trying to understand how standard deviation works and this video was by far the perfect one I found to help me grasp a better understanding on how to calculate the standard deviation.
I wish my college professor taught like this. Thank you sir for your time! 🙏
I totally forgot how to do this, being that I haven’t taken a math class in over 20 years. Thanks for this video, very informative and easy to follow. Hopefully you’re a teacher, because your teaching method is breath of fresh air, compared to other videos I’ve came across. ☮️
Amazing! I am going to echo what was said... I learned more here than I did in the few classes we had in Standard Deviation. I will be much better prepared for my exam. Thank you!
You are an angel. The best teacher on KZhead.
Thanks so much for this video! You made it much easier to understand than my online statistics professor! You are very clear in your presentation. You can tell that you enjoy what you are talking about, are well informed, and you are good at teaching it. Thanks again!
Professor Organic Chemistry Tutor, thank you for another outstanding video/lecture on How to Calculate the Standard Deviation. This is an important topic in Statistics.
Thank you so much, this video saved me! I could not figure out for the life of me how to calculate standard deviation! This is the first video that ACTUALLY MADE SENSE!:)
This video was so helpful! And thank you for actually explaining it, and not being one of those confusing online math tutors. :)
It's like you read my mind, we learnt about SD and I wasn't getting it, came to KZhead and bam, you posted it
Everytime i reach my last critical situation, where even getting help from teacher is useless, this guy is always the one who saves me.
This is so helpful! I always struggle with topics like this in class but being able to do these equations is a key part of my science qualification.. These videos are lifesaving! Feel like I actually understand this now, felt so happy to hear I'd got the right answer after trying one of the questions in this video on my own! :)
i really really hope you're making bank off of this youtube channel because you're such a life saver and deserve all the money you can possibly get from these videos and more
I WAS ABOUT TO BREAKDOWN AT STATISTICS CLASS THANK YOU FOR THIS
i’m so thankful for this thank you so much, i was having a really hard time understanding this topic but this video explained it so well!! thank you for saving my grades T^T
i love this guy. i havent payed attention litterally all year and this helped me so much omg
Big thanks bro. I was on the middle of doing my quantitative research and I didn't know Standard deviation and Variance. Your videos helped 🙏
I have been so lost for two weeks. I have watched so many other videos. This is the ONLY VIEDO I have seen that I finally understand! Thank you so much!!!
I literally love your channel so much. It's helped me through a lot!
Thanks a lot bro, I've been failing this since senior school, now that I'm in University imma ace it🤟🤟✌️👌
Thank you so much, this teaching is just in the simplest form to understand.
Thank you so much! I'm doing an online statistics course and your video helped me way more than current class instruction.
Thank you so much, simple and so easy to follow and it's like someone finally turned the lights on and i can see! thank you again I am going to rock this exam :)
Did u pass?
Yeah got 90%
juanboom1 nice job
your channel is literally saving my life in CHM 111, thank you; you’re a lifesaver
This guy is surely a magician, the topic seems so easy when he teaches it, i would this recommend to my Maths teacher.
You helped me do good on my first test in precalc 😘😊
This guy always saves me the night before the exam lol
Oh my god my midterms are coming up in like 45 minutes and you helped me understand it in less than 3 minutes. Thank you so much!!
Best explanation ever, this is the only one I understood out of 5 videos including my teacher 👩🔧
i needed this for tomorrow omg what a coincidence lol thank you
me too sis
Thank you so much mate. Great content and hope you're safe and well :)
This man has taught me more in 7 minutes than my ap stats teacher has so far god I wish every teacher was clear and straight to point as this guy
One 7 min video teaches me more than my math
Thank you!! Recently picked up an OLD ballistic chronometer that only displays velocity. Extreme spread, and average velocity are easy math with a calculator. Standard deviation is now do-able because of your excellent explanation and demonstration. Again; thank you!!
This guy saved me more than 4 times. What can i say. Your...... Just the best! Thank you SO MUCH!!!
Hello, I am having issues with how you got 11.709? Can you explain because I got the 1,234 however when I tried to calculate dividing by 9 and square root of that answer it gave me a total different number
ur supposed to do 1234/9 first then u get 137.111. then find square root of that
@@luvohan thank you 😊
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I've been searching for a helpful video, because I didn't understand how my math teacher got the answer, and after watching this, I got the actual right answer, tysm!
This literally my lesson at school rn
What is this sacrilegious white background in the thumbnail!?
Your living it. Be thankful.
Simple and understanding, thanks so much
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U mean ur pfp?
Simple and understanding, thanks so much
Saved my life! I'm taking statistics now! Thank you for breaking it down!
buddy you are single handedly helping me pass intro to stats for university i salute you i freaking hate math
Could you perhaps make a video on the chi-square test? Thanks for the vid btw
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Thank you so much for this tutorial, it helped a ton since I never really understood standard deviation. Props to you :)
What a life saver I love how you made it so easy new follower from now on thanks a lot
You changed the 81 to 82
The thumbnail got me thinking that I was going to have to buy shades to study.
YOU HAVENT!
Excellent! I was able to pass my statistics periodic exam because of this video thank you organic chemistry teacher!❤❤❤❤
wow you explained it in a much simpler way. Very informative sir. I love your work. Thank you so much.
I have a question. for the first example, shouldn't we divide by N, instead of (N-1), because it's population standard deviation not sample deviation
I thought so too
Hi, in your first example you wrote (82-90)^2 but It should have been (81-90)^2. Great tutorial and great review for me otherwise. Thank you for doing this!
He wrote what looked like 81 near the top but it actually was 82
Thanks for clearing that up
I salute you, The Organic Chemistry Tutor.
I love the way you teach and I appreciate the way you explain things
A population has the following values: { 2, -2, 2 -2}. The mean of those samples is 0. The Difference between any element in the set from the mean is 2. Using your formula, you get sqrt( (4 + 4 + 4 +4)/(4-1)) = 2.3. Wouldn't the The proper way to handle this when the entire population of a set is known is to divide by (n), instead of (n-1) therefore we see: sqrt (( 4 + 4 + 4 +4 ) / 4) = 2
Yes, but usually in statistics exams you estimate the population mean and standard deviation from a sample or samples because generally the whole field of basic statistics is about going from a sample to a population. But in this case he should be using N instead of n-1
@@Chadabiwait, so how do you know when to use N compared to N-1. Like if u have a set of 5 data points would u divide by 5 or 4
@@Therians4life1456 you should use n-1 by default unless stated the set of data represents the entire population
Nothing i’m learning right now has anything to do with stats, however i still just watched through that whole video knowing full well i should be sleeping
this man is the goat, idk what I would do without this man
I'm taking a finance class and this Video is really helpful. Thank you
What if mine gives me a decimal for sample mean ?
I wish I knew why the formula for standard deviation used here has "n-1" in the denominator. Just like with the mean it seems like the sum of the squares of each individual deviation should be divided by the number of elements in the set, i.e. just "n." Does my confusion here make sense to anyone that could help me? Thank you. Update: I found out via Khan Academy. It has to do with the fact that a small sample from a larger set returns a standard deviation closer to the larger set when n-1 is used in the denominator. If the sample set has almost the same population as the larger set then n-1 and n will be much closer in value. The standard deviation within the smaller sample set will approach the std dev of the larger set as more values are included in the sample set. For a very large population, say n = 9,000, a sample set taken from it containing all but one element will have an n = 8999 and an n - 1 = 8998. Obviously the 8998 is only 0.022% away from the "parent" population where n = 9000 so the std deviations of the sample and the parent sets will almost match perfectly. If the sample only had 100 elements in it then dividing by 99 (n-1) will yield a std dev closer to the std dev of the parent population than dividing by 100 (n) and this is due to the sample containing only 1.11% of the parent set. It is not an easy reason. Many videos on Khan try to explain it. Essentially, if the sample of a population is significantly smaller than the population it is taken from then the standard deviation of the sample will itself deviate more from the main population's std dev if we divide by n. Dividing by (n - 1) is a way to correct for this "bias" which results in a std dev that is smaller than it should be and which goes away as the value of (n - 1) for the sample gets closer to the the value of (n) for the population from which the sample is taken. See Khan Academy for more lol.
Thank you! This helped
@@ryanw1140 I wish I hadn't used so many words but I was working it out myself as I was writing all that lol. Were you able to find the Khan video that discusses it?
@@insider235 no i didnt look too much into it but i will, test is in 2 hours 😉
@@ryanw1140 Ah. Maybe don't worry about it then unless you are interested in a solid understanding of statistics for other reasons lol. For the purposes of your exam standard deviation only uses (n-1) in the denominator for SAMPLE sets - to remove bias effect. If we are given the entire population set then standard deviation is calculated with just (n) in the denominator. Good luck!
@@insider235 hey thanks 😀
Thank you, I was really confused about this. But now it makes sense, I can’t thank you enough
So now I've heard it both ways: divide by the number of data points and divide by the average. I guess I'll trust this guy.
I learned more from this video than my own teacher
Is Mark Wahlberg teaching us Standard Deviations?
i wish my professor taught this way. this was a huge life saver !
I was trying to figure out how to work a chem lab problem out, and doing sd was part of it. I wasn't really good at Statistics in high school so this video helped a bunch. THANK YOU! Also, this guy has a really nice voice! ^~^
I watched it once but I didn't take notes.
Why is it that when dividing some ppl subtract 1 from it like (n-1), whereas others just divide by n?
n-1 is in a sample equation whereas n is finding the population
@@johnappleseef9776 how did he know the 2nd question was a sample?
@@musclegaining2058 they say in the question. They don't live it up to you for guessing
@@musclegaining2058 though if you do it many times you can naturally recognize
Converting even to odd number or something like that?
hii i want to ask if there are repeating elements do you still have to include both in the process for example 88, 90, 93, 88 were the given does that mean (88 - x̄)^2 + .... + (88 - x̄)^2 or just one?
All the way from Namibia.. I appreciate this 🥂✊… thanks a lot… you make it look way simple
Another way to do this is to get the sum of X²-((sum of X)²/n) all of this divide by n-1. You can get the sum by using your Calc with the sd settings
Why n-1 in the denominator and not just n? There has to be a reason and it would be interesting to know.
N-1 is used for sample taken from total population. Whereas n is used for population.
@@dr.riffatnaseemmalik1447 I think his question is, why the (-1)?? Why not just "n" or "n+1"?
Thank you and appreciate so much! You are a blessing to many people!!!
Very good and well outlined. I was a little rusty on this. Thanks for the refresher pal! 👍
How to root it?
I tried to divide 1234/9: 137.111 Why is it the sum of your calculation was 11.750
Merilyn De Borja you need to root it
he rounded it off
Voltsnek how?
I've learned more from this dude than any online classes that I've attended.
This is really going to help me on my test tomorrow in math thank you so much!
I get all the steps but I dont get how he got 11.709, he said to square the answer but every time I do it I get a different answer. can anyone help me?
same cause 366/3/9 as a decimal is 366.33
@@009Raines exactly, I’m confused
@@anap3356 and @EBAG tv What are you guys talking about. You just add all the numbers up and divide by 11, then root it.
is it something you don't do about numbers man? :P it's a compliment btw
I love him - he just got me through a mid term with this video ♥️
Manifesting LPT this march 2023 to be honest your my teacher thank you sir
I think you made a mistake. The first number is 81 not 82. It should be (81-90)^2
You help me learned things in 7min that my prof was trying to discuss for a week now
This was super helpful! I understood this method better than what I learned in class. Thank you!
Rylee Galy hmm good are u student of ACCA ??
@@habibullaharmani8363 no
This video gives the "Aha!" moment a person needs when trying to make things click. Your videos, in general, are quality content.