How to find the variance and standard deviation from a set of data
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- เผยแพร่เมื่อ 3 มี.ค. 2016
- 👉 Learn how to find the variance and standard deviation of a set of data. The variance of a set of data is a measure of spread/variation which measures how far a set of numbers is spread out from their average value.
The standard deviation of a set of data is a measure of spread/variation which measures how the set of numbers is spread out from each other. The standard deviation is given by the square root of the variance.
To find the variance, we first calculate the mean of the set of data. Next, we subtract the mean from each number in the data set and square the results. Then, we take the average of the squared differences.
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Try an hour before an exam
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Wow, thank you so much for clarification of variances for me. I am currently finishing my masters degree and haven't take a statistics class. So this does explain the concept well. Thanks again!
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I couldn’t remember how to find the variance so I had to watch a video to refresh my memory. This video was very concise. Thank you.
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For the variance, isn't the summation of (xi-xbar) squared divided by n-1 rather than n?
yes, that is why i am a bit confused.. i calculated it and devided 86.9 / 9 = 9.65 the variance, for standard deviation it is = 3.10
Maybe he got confused but it is supposed to be n-1
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I got confused about the square root of 8.69=9.32, I thought my answer is wrong, thanks to the guy who noticed the answer. Anyways thank you, Mr. Brian, your videos are a big help to me.
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I was about to question why he got the incorrect SD, yet I was glad it was raised by the student lol
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now that you said it i got confused
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2:07 nice
Nice
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It should divided by n-1
yeah youre right. I went to go put the answer in mhy Homework and it told me n-1 and also 8.69 divided by 10 is 0.869
@@stephaniesepko6843 it's 86.9/10, not 8.69. 8.69 is the variance.
Yh u are correct
That’s only for a sample variance, he’s doing a population variance, he’s very correct
He is right because he is dealing with total population which is n=10 and we use n-1 where we are drawing sample from the population. For more brief lets take as example
If we want to measure height of one class of 15 students and we are taking all the students so it means we are taking whole population (Class of 15 students). Here we use 'n' not 'n-1'.
If we want to measure height of one all students in a university which are 1500 students and we are taking only 15 students so it means we are taking sample from whole population. Here we use 'n-1' not 'n'.
Hope explanation will assist you.
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I am confused I thought it was n-1 at bottom instead just 'n" for the variance. Like devide by n-1
Thank you, very helpful
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Thank youu! i finally undestand how to get the variance have a good day!
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I was about to go back at the previous minutes of the video, but decided to just finish the whole lesson. Thank goodness it was corrected just a few seconds later.
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This was useful but the for the standard deviations it n-1 and not just n
Thats for sample variation s²
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how do you
square the deviation from the mean and multiply it by the appropriate frequency.
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Practicing these 6s.
sir how to take the square root off the value?
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Can you explain why the MEAN is 66.1 and not 66? Where did the .1 come from? Thank you
I'm sure you know now as this is 3 years old but the mean is average and I'm pretty sure you were thinking of median
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