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Mathematics 16 Online
OpenStudy (anonymous):

Please help! I need help with mean deviation!!

OpenStudy (anonymous):

19, 12, 16, 10, 8, 8, 14, 15, 24 mean = mean absolute deviation =

OpenStudy (paki):

mean is sum of all numbers divided by the total numbers.... and the mean absolute deviation is the Mean Deviation = Σ|x - μ| / N....

OpenStudy (anonymous):

I know what to do for the mean I just don't understand what to do for the Mean deviation

OpenStudy (paki):

hmm ok... do you know, how to find here "μ"...?

OpenStudy (anonymous):

what?

OpenStudy (paki):

can you find the "μ" in the formula of mean absolute deviation...?

OpenStudy (anonymous):

I am sorry but, I am on a new lesson and I don't really know deviation is and I don't know what you mean by that symbol.

OpenStudy (paki):

ok... then i have a good web for you... please have a look here... you will be cleared with all the questions... ok... http://www.mathsisfun.com/data/mean-deviation.html

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

Oh I already saw this

OpenStudy (anonymous):

I understood the table thing but, I have no table I have just numbers I am confused

OpenStudy (paki):

hmm... here we have the data as 19, 12, 16, 10, 8, 8, 14, 15, 24... and it's mean is 14... ok... now how we will carry on this is to minus this mean from all above values... like this... 19-14= 5 12-14= -2 ans so on..... then add up all these results and divide it by the total numbers of terms... that will be the mean absolute deviation.... got it now...

OpenStudy (anonymous):

why are we subtracting numbers like 19 and 14??

OpenStudy (paki):

we are doing so as this is in the formula of mean absolute deviation.... |x - μ|...

OpenStudy (anonymous):

ok can you go step by step for me please and tell me what those symbols are that you are using?

OpenStudy (paki):

i have explained all...

OpenStudy (anonymous):

sorry I am still not understanding :(

OpenStudy (paki):

oh :(

OpenStudy (paki):

ok wait... i am solving it here...

OpenStudy (anonymous):

kk

OpenStudy (paki):

sorry... i have problem with my page now... i am trying...

OpenStudy (texaschic101):

ok..you got your mean of 14. Now take your original numbers and subtract 14 from all of them. Disregard the signs. 19 - 14 = 5 12 - 14 = 2 (see how I disregarded the sign) 16 - 14 = 2 10 - 14 = 4 8 - 14 = 6 8 - 14 = 6 14 - 14 = 0 15 - 14 = 1 24 - 14 = 10 Now take your results, and find the average (5 + 2 + 2 + 4 + 6 + 6 + 0 + 1 + 10) / 9 = your mean deviation

OpenStudy (anonymous):

ok I get everything except that last part where you said to take the results and find the average what does that mean?

OpenStudy (texaschic101):

you know how you found the average (mean) in the first part....well...do the same thing with your new numbers....add them up, then divide by how many there are

OpenStudy (anonymous):

oh I see!! :)

OpenStudy (anonymous):

Thanks! You explain really well! :D

OpenStudy (texaschic101):

if you still have trouble...this explains it easy.. http://www.mathsisfun.com/data/mean-deviation.html

OpenStudy (anonymous):

ya I saw that but, I did not understand as well as you explained it lol!

OpenStudy (anonymous):

Thank you!

OpenStudy (texaschic101):

:) happy to help

OpenStudy (anonymous):

Thank you paki as well for trying your best to help me

OpenStudy (anonymous):

oh I have a question texaschic101

OpenStudy (texaschic101):

ask away

OpenStudy (anonymous):

So first I find the mean and get 14 (understand that!) now you said take the original numbers and subtract them from 14 what if the original numbers are larger than 14?

OpenStudy (texaschic101):

example : 12 - 14 = 2 (disregard the sign) 15 - 14 = 1 1 - 14 = 13 understand ?

OpenStudy (anonymous):

yes! so it is ok if the number comes out negative?

OpenStudy (texaschic101):

just make it positive

OpenStudy (anonymous):

like 14-19=-5

OpenStudy (texaschic101):

it would be 14 - 19 = 5 (take away the negative)

OpenStudy (anonymous):

oh ok so then after subtracting every number from 14 I divide all those numbers by how many numbers there are and then get mean deviation

OpenStudy (texaschic101):

what you doing is finding the distance between the number and the mean. Doesn't matter if it is negative....you just want the distance...so keep it positive...kind of like the absolute value. And for your question...yes...add up the new numbers, and then divide by how many numbers there are

OpenStudy (anonymous):

ok Thank you if I have any questions later on do you mind if I send you a message?

OpenStudy (texaschic101):

well..I have to go somewhere right now...but I will get back on soon

OpenStudy (anonymous):

ok Thanks!! :)

OpenStudy (texaschic101):

sure thing :)

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