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Statistics - How to calculate the standard deviation

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This video covers how to find the standard deviation by hand using the formula. Remember there are actually two formulas depending if your data comes from a sample or a population. Even though all of these calculations can be done by hand, a calculator is recommended so that you don't make mistakes.
▬▬ Chapters ▬▬▬▬▬▬▬▬▬▬▬
0:00 Start
0:06 Formulas for calculating standard deviation
0:36 Example, calculating the standard deviation by hand
0:46 Find the value of n
1:05 Find the sum of squares
1:54 Find the sum and then square
2:52 Standard deviation of a sample
3:37 Standard deviation of a population
4:41 Wrap up information and ending
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This video is related to many other topics. Check them out:
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Using the Casio fx-115ES Plus: • Statistics - Calculati...
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Опубликовано:

17 авг 2024

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Комментарии : 126

@rego_m586 4 года назад

Taking Statistics this semester and i am glad to have found this channel. Clear and concise explanations. Thank you

@sociallyawkwardself971 4 года назад

I'm currently taking Statistics right now and on the topic about standard deviation. You explain things very well, thank you!

@litashawhite6750 4 года назад

he does! but im still getting them wrong

@clxudy3662 4 года назад

Oof, I’m doing the CBE test today soooo I need this ;w;

@conchitach1466 3 года назад

Wow, your explanations are excellent, understandable, amazingly relieving. I'm taking Statistics this semester and happy that I found your channel. Looking forward to come back often to learn without the stress

@lelavelion1356 3 года назад

My math class literally just said to use technology to figure out the answer so here I am.

@isabella_5736 3 года назад

i cried a lot last night coz i wasnt able to understand the lesson even after watching videos from this platform (and i'll have my stats exam tomorrow) but im so glad i found ur channel, it's really easy to understand. thank you!!

@ryebread0123 2 года назад

watching this almost 2 years after it came out and you have taught me more in 5 minutes than my college professor has in almost 2 semesters

@baebaevip8320 4 года назад

Im going to be watching a lot of your videos this school year, you explain so well! Thank you so much.

@MySecretMathTutor 4 года назад

Glad you like them! :^D

@blakeririe5174 3 года назад

And here I was stressing over my stats test tomorrow. Wish I'd found this channel sooner

@gwynethbalete3073 3 года назад

Im so glad I saw your channel and now I can finally anwer my stats. Thank you!

@kaymyers8819 2 года назад

How did you get the 10 multiply by 9 where did you get the 9 from I am totally loss

@andy_182 3 года назад

i have never seen either of those equations, i have only seen ones where the denomiator is dividing n-1 or n. where did you find those equations

@tannystakeaways8511 2 года назад

Thank you very much. It's been decades since I've used this. Your video explains and illustrates it very effectively.

@KylobytePerSecond 3 года назад

Nice. Thanks for this. Need it for Junior High School Research. Good job and I'm certain you're helping lots of people with your videos.

@marcomoose4352 3 года назад

Thank you for this explanation, it was well made and easy to follow

@blackcelebritybirthdays 2 года назад

Great video!! I wish you were around when I was in high school/college

@duckis 3 года назад

Where do you get the 9 from that you multiply with 10?

@omolara 3 года назад

The formula says "n-1". Which would be 10-1, which equals 9.

@kw9158 Год назад

This was so helpful. Really clearly explained - thanks so much!!!!!

@EdgingGoattdd 2 года назад

At 3:15 when he says 10x9, that doesnt work. You need to do 10(85511)-793881 divided by 10 then divided by 9 to get 680.32, then square it. I don't know why he said 10x9 but that was wrong unless I'm just stupid. I had to figure this out the hard way though.

@wrodriguez3778 3 года назад

where did the 9 come from ?

@sondravanornam2838 3 года назад

Your videos are such a great supplemental to my online college stat class. Thank you so very much. From learning more about the functionality of the Ti84 and Standard Deviation. I cannot say thank you enough.

@simpso0ns 4 года назад

You’re explaination helps a lot thanks

@rheccajunep.anudin7129 3 года назад

Thankyou very much for this tutorial it helps me a lot for my statistical biology class

@abubakar8987 2 года назад

Best ever teacher 💯 recommend

@alexandrahoca965 Год назад

can the sample equation be used to calculate standard deviation for temperture?

@WahidahFowler 2 года назад

You made this extremely easy to follow!!! Thank you very much.

@cherellejacob4409 2 года назад

I'm not a math, statistics in particular, person. A sample is a select amount of the total population, correct? So, would this be the same as a survey of male students (sample) vs a survey of the entire student group (population)?

@gallici-anima-christiana 2 года назад

Why is it divided by 10 times 9. I get that 10 is the number of values (n), but where does the 9 come from?

@Mohamedahmed331 4 года назад

Where did the 10 . 9 suddenly come from when putting your numbers in the equation. The 10 is for how many numbers there are in your x value correct? Because n = 10. But what about the 9?

@MySecretMathTutor 4 года назад

This comes directly from the formal since there is an "n" and an "n-1" So you have n = 10 and n-1 = 9. Let me know if that helps out. :^D

@sandiegoclaw 3 года назад

@@MySecretMathTutor ok that answered my 1st question. But im still trying to figure out how you got 680.3222

@rochelanlumasag6891 Год назад

May I know why you did not multiply the mean to the samples?

@fattit7598 2 года назад

Thank you so much. Your videos are very easy to understand!

@palereaper Год назад

What statistics textbook should I buy?

@CristelPlays 3 года назад

This is super cool i really love how you teach this so easy

@starsinthenightsky449 3 года назад

3.18 where did you get the 9 from when you multiply the 10 and 9

@starsinthenightsky449 3 года назад

I got it so you take 1 from the 10

@Based42069 2 года назад

for some reason when I entered the final equation in my calculator I didn't get 680.3222

@QuirinusFortuna 2 года назад

Can I find the standard deviation if I only have the mean, so no sample or population?

@rickovsky980 4 года назад

Arent you supposed to take the difference between the mean and each data number, then square each one of those, then get the sum of all of those and divide that by n-1, then find the square root of that?

@beautiful_bella_chocolat 3 года назад

that's what i was taught...i don't get this at all

@vercetti3690 3 года назад

I got a question. Since Standard Deviation is the Square Root of Variance, is it right to say that I can apply the Sample/Population Variance formula and simply square root the whole chunk to find the Sample/Population Standard Deviation?

@moosemeatbussin6950 2 года назад

Got finals tomorrow this helped lots thanks

@sews5742 3 года назад

thanks for the video, it would've been convenient if you quickly explained the difference between a sample and a population (but of course a quick google can help regardless)

@michaelb3046 2 года назад

Very detailed sir! Thank you!

@hlengiwengutha7844 3 года назад

Help please. A retailer observes that the demand for a popular board game averages 40 per week with the standard deviation of 13. If the seller wishes to have adequate stock 99% of the time, at least how many games must she keep on hand?

@benromine1261 3 года назад

Love Your Videos, they have helped me greatly

@catirerubio Год назад

Why n-1 in formula 1? Please explain.

@christagray9736 3 года назад

do you have a video showing how you enter it into the calculator?

@MySecretMathTutor 3 года назад

You bet, here are a couple :^D ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-vSjs-Vehaf8.html ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-zpLABdyepNk.html

@minachan2464 Год назад

what do i do if i get a negative number?

@alexanderluspo1419 2 года назад

THANKYOUSOMUCH DUDE Y R A SAVIOR!

@pphobiaa 2 года назад

How’d he get 10x9? 10(10-1) would be the equation for n(n-1) though? Someone help.

@ncp3077 2 года назад

So can you make a bell curve with the sample?

@rhubenthiraan9118 3 года назад

Greeting Sir, if the sample value is bigger, then the standard deviation also will be right? Thanks Sir.

@MaryGopar 2 месяца назад

How do I understand statistics pls help

@mathhelpmadeeasy 2 года назад

Thank you for this wonderful video!

@johnbishoppelaput7695 3 года назад

It is good if resulted with negative number?

@noufmohammad3392 2 года назад

This is a unique formula tho. Is this just as same as the other formula?

@aht3261 3 года назад

how did you find the value of 680.3222?

@karankothari2003 3 года назад

this is a lifesaver

@rhynogaming8617 2 года назад

Wait why do u multiply it by 9 in the formula

@niveetbandu4207 3 года назад

could you calculate coefficient of variation using this example please

@kimv.a.l 3 года назад

Nice video! Where did you get 26.08 from? thanks!

@robinyourface 4 года назад

Is it possible to preemptively cancel out the numerator and denominator N values, so that the denominators are just (n-1) and N before computing? I've never seen the equation originally written like that.

@MySecretMathTutor 4 года назад

Careful, note how that n is only on one of the terms in the numerator. Because of this we can't can't it out. Let me know if that helps. :^D

@bibicabrera12 2 года назад

I think the video is great, but it would be even more helpful to actually show every step when it cone to how did u get ur answer. It took me a bit longer to try to figure out why u got the answers that u did.

@vimmyfabitz2778 3 года назад

how did u get the answers to X2 24336? pls reply

@jovanthekid8281 3 года назад

Where did the 10 come from?

@rudyvirgohilvano4983 3 года назад

Hello how did you get the 10.9 and 612.29 and 24.74? Thanks

@davidceloski6498 Год назад

That’s what I’m wondering

@davidceloski6498 Год назад

3:18 where did he get that 9 from when he divided ?

@MySecretMathTutor Год назад

It comes from the 10 - 1.

@youareamanifestingmf 2 года назад

Why does it need to be divided by 10 multiplied by 9. 10 is the N but why the 9?

@catirerubio Год назад

If the data number is 10, shouldn't n-1 =9?

@justme-iv5yq 4 года назад

How did you get 680.3222 ?

@MySecretMathTutor 4 года назад

That comes from all of the work on the inside of the square root. (10*85511 - 793881) / (10*9) =61229 / 90 =680.3222... Hopefully that helps out. :^D

@justme-iv5yq 4 года назад

@@MySecretMathTutor got it! I didn't multiply 10.9 = 90

@93granado 2 года назад

Why do you multiply by 9?

@shammimakhumalo9868 3 года назад

Well explained thank you

@rafekaren 3 года назад

God bless you...

@sameltahan3105 3 года назад

I wanted to do the same exercise with different numbers :D 93,47,73,31,59,11,68,83,49,27 :-) Guess the result? The sample is =26.08 and Population = 24.74 all random numbers we got same results. How its called serendipity... Also, yes there is a difference in third fractions...BUT what are the chances :D