How To Calculate Sample Standard Deviation (Step By Step)
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- Опубликовано: 22 авг 2024
- This Statistics video goes over how to calculate the sample standard deviation. I walk through how to get the standard deviation through examples. This video is meant to be concise and to the point on how to solve the standard deviation. This also explains how to find the sample standard deviation.
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Very clear and helpful. I like the no-nonsense presentation.
I tried working this out on my own for about an hour before I found you. I understand how to do the work and I got it correct so thank you!!!!!!!
Thanks, I literally forgot what exactly summation was. This sorted that all out thanks!
Well done my friend. Crisp and to the point!!
Awesome vid homie, I failed Stats. once in undergrand and passed it the second time with a "C". Now in grad school, you broke down Standard deviation so simple and perfect. Thanks.
No problem.
Let me know if you have questions for other other statistical methods, I can make a video within a few days or give you a quick response if you need it fast.
@levichicwown9760 where am I doing n-1 twice?
Thank youuuu so much, it help me with my reporting. btw I'm from the Philippines. great video ❤
Thank you, I looked at other videos about SAD but those didn't really explain, but you were the one to actually know what you are talking about, thank you very much.
this is way too much work. i have 12 sample numbers this is why i hate math.
We have 20🥹
I have 25 😭
Had about 26 on my stats final today shit was dumb
@@IF_Sports there's a way to put it in the calculator but it stil sucks. I just passed stats with a c I'm happy I did not fail lol. Got one more math to go which is business calculus.
@@David-sc5kf stats wasn’t that bad just always studied last second finished with an 82 calc pretty easy fr just gotta pay attention
Omg I'm trying to do college stats homework and this saved my butt. Thank you so much
No problem.
Please remember the channel for other college stats questions. The videos are based on teaching a class you're probably in.
I have a series of small videos that cover all the questions of a midterm I handed out.
@@Learn2Stats wow! Thank you so much! This class is my most difficult one so I'll definitely come back when I need some more help!
I also typically respond within a day.
I've made videos based on questions in comments within a few days.
I treat the channel like a tutor session.
This is SO helpful, thank you 🙌
this was super helpful! thank you so much you saved my life with this video I was so confused in class and this literally helped me finish my homework problem!😊
Glad to help.
Let me know if there is another question you need help with, I make these videos pretty fast.
Your video help me so much
Thanks
You're a great teacher
Thank you!
Let me know if you have a request, I do video requests for methods, concepts and functions.
What do I do when I have 45 sample numbers and not just 5
I used 5 to show the method in a simple way as many people get thrown off by having too many numbers. Follow the steps for the 45. If you have software like Microsoft Excel, I would list them there and do the adding and subtracting there. Use whatever is more convenient for you to find the average.
what if my mean comes out to 15.97, and for example my sample numbers are 16.5, 15.6, etc.. do i do 16.5-15.87 or 16.5-15.9 so the decimals are even?
Great question! If this is for a class, I would ask the teacher as that is the one grading but the best option is to keep the mean at 15.97 and use it for the other calculations. If you don't, you are adding variance to the calculation that isn't there. More often than not, the mean is 15.9767392 or something like that, rounding to the hundredths like you did is fine unless advised differently.
(16.5- 15.97) and (15.6-15.97) would be how you would apply it with the two numbers you gave. Both of those differences would be squared in that step.
Let me know if you have any other questions.
@@Learn2Stats Thanks, do you have any videos on constructing 90% intervals ?
Now that you mention it, I don't have one that directly talks about that. Most of my test videos have it in there but not one that is just on confidence intervals calculation.
Here is a short video on understanding the difference between standard error and margin of error. Margin of error is what you use to construct the confidence interval, which I give the equation for.
ruclips.net/video/VGCUpzoz6IM/видео.html
Here is another video on understanding the concept of a confidence interval in relation to statistical significance.
ruclips.net/video/bOr7oewAcsg/видео.html
Let me know if you have any more questions.
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?
Yes, you would have to do every instance of the number.
Hi there, if I calculate the standard deviation on my calculator (using the 1-variable table found in the statistics, putting the four sample numbers into the table) I get the same mean, however the standard deviation comes out to be 3.808... I understand your method and can follow it, but am unsure as to why the calculator comes out with a different value. I do not believe I am inputting the data wrong. Do you know what I might be doing wrong to cause this issue?
No problem.
You are taking the square root of 58/4 when it should be the square root of 58/3.
Sample standard deviations are n-1 for the denominator.
how did it became 4.397 did you divide 58/3?????? I'm so confused
I did the formula by parts and after calculating them put the numbers in their place. 4.397 is the square root of 58/3.
@@Learn2StatsThankyou I learn a lot today 😊❤
@@Learn2Stats Hey, sorry to bother you. Kindly, what do you mean by the number in place? I'm confused; how did he get 4.397? I divided 58/3 it gives me a totally different number.
@@brandyparker5809 1 more step to do. Square root 58/3 and you should get the answer.
Is the final result in P value or Z score or say these were distances, would it be plus or minus 4.397cm?
Good question, to do a confidence interval you would want to multiply the standard deviation (4.397) by the multiplier (1.96 for 95% CI) and then add and subtract from the mean.
Thanks!
Respect ❤
Thank you
thxxxxx bro!!!
what if we don't have sample numbers but just a mean?
You can't calculate it without the sample size.
what if we are already given a mean?
Go ahead and use it to solve. Usually that is given to save you a step.
What if the exact answer is 21.4537 and my answer is 21.5437 is it ok?
That will depend on the teacher.
what if you have two sets of data?
Combine them to make 1 dataset then calculate based on that dataset.
Another option is to calculate for each data set.
It depends on what you are being asked to do or what you are analyzing.
Thanks
No problem
Thankyouuuu
number of observation are 5 so 5-1 =4 ,why did u divide it by 3?
2, 5, 9, 12.
@@Learn2Stats oh my bad ,Thanks.
Ty
🔥🔥🔥
Thank you so much
My homework says i need excel!!! I did this for every single problem , however its 6 numbers. AND IT KEEPS SAYING ITS WRONG. I dont want to pay for excel! Please help?!!
What are the 6 numbers and what do you get?
after 58/3, how did you get 4.397??
Take the square root of 58/3
Why the (2) and (5) doesn't have - compared to (-5) and (-2)
The 2 is from (9-7) and the 5 is from (12-7). The x values are greater than the mean so they will be positive.
anyone understand how he got 4.397 cause when I did 58 divided by 3 it gave me 19.333
Square root that number
@@Learn2Stats I got it thanks 😁
I thought you divide by the number of data points?
For the sample, you divide by the number of data points minus 1.
For the population, you divide by the number of data points.
💀
How were you able to get 25+4+4+25 I did the summation of the above number (-5)+ (-2) “”” and it didn’t work… not sure what I’m doing wrong. (UPDATE I FIGURED IT OUT THANKS 😂