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#1 2013-10-18 09:26:30

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Mean, Median and Mode from Grouped Frequencies

Another new stats page: Mean, Median and Mode from Grouped Frequencies

All feedback welcome!


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#2 2013-10-18 12:01:26

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,636

Re: Mean, Median and Mode from Grouped Frequencies

Hi;

That was a lot more than I knew about it. I will use the page for notes, thanks!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2013-10-18 22:28:49

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,391

Re: Mean, Median and Mode from Grouped Frequencies

hi MathsIsFun,

Another good page.  I'd not met those formulas for median and mode in grouped tables; I've always worked from a sketch of a cumulative frequency graph; so I derived my own.

For continuous data, taking the median as the (n+1)/2 th value I get

It doesn't make much difference and it's only an estimate anyway, but, for example, with the baby carrots example I get 172.0, compared with your 171.7.

I drew a cumulative frequency graph and found the median from that as 172.

I've done some 'googling' and both formulas came up.

eg.

http://www.thestudentroom.co.uk/showthread.php?t=908222

http://math.stackexchange.com/questions … stribution

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#4 2013-10-21 16:17:14

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Mean, Median and Mode from Grouped Frequencies

Very interesting, thanks!


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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