How To Calculate The Standard Deviation of Grouped Data

[@TheOrganicChemistryTutor]

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[@surbhi1353]

Hey..!! Can You Help Me Out!! The formula of SD for Grouped Data is root over submission of {f(m-X)^2} whole divided by "n" But He has written divided by (n-1).

[@HotFiya05]

@@surbhi1353 This is late, but since it's a sample, you divide by n-1. Total population you'd divide by N

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Thank you, your teaching is very simple and easy to understand. i am now able to calculate SD without issue. God bless

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[@surbhi1353]

Hey..!! Can You Help Me Out!! The formula of SD for Grouped Data is root over submission of {f(m-X)^2} whole divided by "n" But He has written divided by (n-1).

[@shripadsg]

@@surbhi1353 Its for Sample not for Population!

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Dear Tutor, You need uniform class interval i.e. of equal size, you've taken the last interval as 90-100 i.e. wrong either it should be 90-99 so that class size remains same or you should make the discontinuous class intervals to continuous class intervals viz. 49.5-59.5, 59.5-69.5, 69.5-79.5, 79.5-89.5, 89.5-99.5 and after this you'll get correct values for M. It goes wrong at 2:26 Hope you'll correct it.

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Considering that these are grades and some individuals are capable of achieving 100%, wouldn't it make more sense to include 100? (Not trying to crush your comment, I'm just trying to gain more insight)

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I noticed this too. For the ranges I would do 51-60, 61-70, etc etc. And then for your midpoint it's not 60-51, you're supposed to find the difference between the lower class limits. So it would be 61-51= your class limit = 10, then the midpoint is divided by 2, so 5. You CAN do this kind of thing with uneven class sizes, such as 0-60, 61-70, etc, where your lower class is a whopping 60 (midpoint of 30). You just have to multiply that frequency by that specific midpoint.

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[@nosms6581]

Thank you sir. But I have a question why it's an n-1 in the denominator why it's not just n??

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Mean deviation about Mean

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[@optics2888]

correct me if i am wrong, but in standard deviation i think we don't minus (-1) from N. formula is Fi(Xi-X bar) square / n

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thats what my uni teacher taught too. im hella confused and got an exam in 8 hours

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Very helpful i got the right method to solve s.d for my college format

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[@normanmudzengi5416]

Thanks sir i am now able to calculate standard deviation

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Thanx this was really helpful and easy to understand

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wow😀 thank you sir it easy to help us to understand more about standard deviation for grouped data👍

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why is that in statistics there are almost no videos on deriving the formulas. we are just given formulas to cram.

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The video is very helpful,well explained ❤How do you know if it's a population or a sample

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[@theodoresweger4948]

I did an experiment with my HP Prime and figured how to enter every data point not as a group by using tthe list functions.. same answers Thank you...

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Thank you soo much the midpoint was explained incorrectly greatly appreciate this information

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Grate ❤️ If marks are given and students number are not given how would I calculated the deviation in the table given

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