when is it appropriate to use arithmetic mean as opposed to median
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).
Median of the set = arithmetic mean of 8 and 9 = 8.5
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.
You take the arithmetic mean of the two middle numbers.
when is it appropriate to use arithmetic mean as opposed to median
The median of 25 and 50 is also their arithmetic mean. 37.5
Of these three, the median is most resistant.
It is the same as the arithmetic mean of the two: 312.5
Median of the set = arithmetic mean of 75 and 85 = 80
mode
The median is defined as the middle value in a set or distribution. There is no arithmetic involved in finding the median unless the set or distribution has an even number of values, in which case the the two middle values (sometimes defined as lower median and upper median) are averaged to find the median.
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).
Median of the set = arithmetic mean of 8 and 9 = 8.5
You take the arithmetic mean of the middle two numbers.
Put the numbers in order.Delete the largest and smallest.Repeat deletions until you are left with only 1 or 2 values.If there is 1 left, then that is the median. If there are 2 left, then their arithmetic mean (average) is the 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.