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When is it appropriate to use arithmetic mean as opposed to the median?
when is it appropriate to use arithmetic mean as opposed to median
How do you find the median if there is two numbers?
It is then the [arithmetic] mean of the two number. The sam applies if you have 6 numbers. The median is the mean of the 3rd and 4th numbers (in order).
What is the median for 6 4 10 11 8 6 14 9 3 12?
Median of the set = arithmetic mean of 8 and 9 = 8.5
How would you get the median of 20 numbers if there's 2 middle numbers?
You take the arithmetic mean of the two middle numbers.
Why is arithmetic mean superior to mode and median?
It is not: it may be better in some circumstances. The arithmetic mean and median are totally useless if the data are categoric. Think about a class of pupils recording what their favourite movie is and - unless they all choose the same film - try and figure out what the arithmetic mean or median could mean! There are also situations - particularly with highly skewed data - where the median is a superior indicator of the central tendency compared with the mean. Having said that, the arithmetic mean has some very important statistical properties and it has been studied extensively so there is a lot of information about it. It is beyond the scope of this site but if you are really interested you might want to read about the Central Limit Theorem. Warning: it is basic university level stuff.
