Statistics - How to calculate the standard deviation
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- Опубліковано 27 чер 2024
- 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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Taking Statistics this semester and i am glad to have found this channel. Clear and concise explanations. Thank you
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
I'm currently taking Statistics right now and on the topic about standard deviation. You explain things very well, thank you!
he does! but im still getting them wrong
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My math class literally just said to use technology to figure out the answer so here I am.
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Thank you very much. It's been decades since I've used this. Your video explains and illustrates it very effectively.
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Glad you like them! :^D
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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
Very detailed sir! Thank you!
Thankyou very much for this tutorial it helps me a lot for my statistical biology class
This is super cool i really love how you teach this so easy
Thank you so much. Your videos are very easy to understand!
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
Thank you for this wonderful video!
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Great video!! I wish you were around when I was in high school/college
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.
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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?
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)
Nice video! Where did you get 26.08 from? thanks!
Where do you get the 9 from that you multiply with 10?
The formula says "n-1". Which would be 10-1, which equals 9.
Greeting Sir, if the sample value is bigger, then the standard deviation also will be right? Thanks Sir.
Thank you sir!
Great channel. 👏👏👏👏👏
Got finals tomorrow this helped lots thanks
How did you get the 10 multiply by 9 where did you get the 9 from I am totally loss
THANKYOUSOMUCH DUDE Y R A SAVIOR!
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?
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
@@MySecretMathTutor ok that answered my 1st question. But im still trying to figure out how you got 680.3222
can the sample equation be used to calculate standard deviation for temperture?
God bless you...
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)?
What statistics textbook should I buy?
do you have a video showing how you enter it into the calculator?
You bet, here are a couple :^D
ua-cam.com/video/vSjs-Vehaf8/v-deo.html
ua-cam.com/video/zpLABdyepNk/v-deo.html
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.
Thank u a lot
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.
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
3.18 where did you get the 9 from when you multiply the 10 and 9
I got it so you take 1 from the 10
It is good if resulted with negative number?
could you calculate coefficient of variation using this example please
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?
Thankyou sir
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?
that's what i was taught...i don't get this at all
So can you make a bell curve with the sample?
Can I find the standard deviation if I only have the mean, so no sample or population?
Thanks
where did the 9 come from ?
May I know why you did not multiply the mean to the samples?
This is a unique formula tho. Is this just as same as the other formula?
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
Hello how did you get the 10.9 and 612.29 and 24.74?
Thanks
That’s what I’m wondering
for some reason when I entered the final equation in my calculator I didn't get 680.3222
how did u get the answers to X2 24336? pls reply
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?
how did you find the value of 680.3222?
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.
what do i do if i get a negative number?
Why n-1 in formula 1? Please explain.
3:18 where did he get that 9 from when he divided ?
It comes from the 10 - 1.
How’d he get 10x9? 10(10-1) would be the equation for n(n-1) though? Someone help.
Where did the 10 come from?
நல்ல விளக்கம்
Wait why do u multiply it by 9 in the formula
How do I understand statistics pls help
😍
this is my 10th time watching this
How did you get 680.3222 ?
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
@@MySecretMathTutor got it! I didn't multiply 10.9 = 90
Why do you multiply by 9?
If the data number is 10, shouldn't n-1 =9?
Time on flex on my algebra 1 teacher 😈
Why does it need to be divided by 10 multiplied by 9. 10 is the N but why the 9?
where dose he get the 9 from?
(n-1) = (10-1) = 9
10x85511= 855110-793881= 61229/10= 6122.9*9= 55106.1
How did you get 680.3222? what am I doing wrong?
Same thing I am asking cause I am not getting that number either
You forgot to multiply 10x9. Which gives you 90.
61229 divided by 90 gives you 6803222
where did the 9 come from
OHHH N-1
was wondering where the 9 came from
why is the bottom multiplied by 9?
Some formulas will divide by the "degrees of freedom." This is one less than the data points used.
need graph for this.
You describe the "what" and "how" but nothing about the "why." When I understand the "why," it's much easier to remember the "how."
Why is my formula different? Both sample and population formula arent same as urs lol
Why is 10. 9
Why multiply by 9?
Look for the N-1 part of the formula. Since we have 10 data points we have the 10-1 = 9
what kind of SD formula is this? there is another SD formula σ=√∑(X−μ)^2/n
I needed high school college
ok
why 9?
Should of gave us this video rather than a 1 week lecture that didn't explain anything.
My numbers are so big its in the hundreds of billions and Im lost
Still don't understand pls and I love statistics pls
bro.. 😭😭 why does math have so many steps?!?!
doesn't really explain anything though