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when is it appropriate to use arithmetic mean as opposed to median

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Q: When is it appropriate to use arithmetic mean as opposed to the median?
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Related questions

What is the median between 25 and 50?

The median of 25 and 50 is also their arithmetic mean. 37.5


Which of the arithmetic mean median and mode are resistant measures of central tendency?

Of these three, the median is most resistant.


What is the median of 342 and 283?

It is the same as the arithmetic mean of the two: 312.5


What does histogram find out graphically arithmetic mean or median or mode or harmonic mean?

mode


What is the average of the numbers 321 548 848 654 15188?

The average is 3,511.8, assuming that by average is meant arithmetic mean, as opposed to geometric mean, various other varieties of means, as well as median or mode.


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).


Which measure of variation is appropriate when using the mean and which is appropriate when using the median?

When using the mean: the variance or standard deviation. When using the median: the range or inter-quartile range.


What is the median of 60 95 100 75 65 85 90 70?

Median of the set = arithmetic mean of 75 and 85 = 80


What is arithmetic median?

It is the number in the middle of the set from least to greatest or greatest to least. If you're having trouble, remember this song: Mean, median, mode.Mean, median, mode. Here's what they are. Here's what they are. The mean is the one that you add then divide. The median is the one in the middle of the line. The mode is the one you see most of the time. Mean, median, mode. Mean, median, mode.


What happens if you end up with a even number with the median?

You take the arithmetic mean of the middle two numbers.


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


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.