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-- Multiply the first averages by the number of observation for each set of these.

-- Add up the sets of averages.

-- Divide the sum by the total number of observations (Add cardinaility of each set).

-- The result is the average of the averages.

If you say have 4 "average" value and just add these, and divide by 4, the result is "unfair" because average may be of 3 observations, while another of 1000. So, to "compensate" and make every observation just as valuable, you re-generate the "sum of sums" and then divide by the total number of observations.

If all sets are the same you can divide by number of observations.

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13y ago
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13y ago

adding up all the data and then dividing the sum by the number of data you had (for example, the average of the numbers 1, 2, and 3 is 1+2+3=6/3=2)

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Q: How can you average averages?
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Related questions

Can you average an average?

You can get the average of an average, but you would be averaging one number, so you would get the same result. You can get the average of a set of averages, though to make sense they will often need to be a weighted average of averages.


What is average of averages?

It is also an average. It is usually a better measure of the average value of the characteristic that is being measured.


How do you get a total from a group of averages?

Average = Total/Count so Total = Average*Count.


Is a sum of averages accurate?

No, a sum of averages is NOT as accurate as the average of the whole. For example: A=avg (1,10) = 5.5 B=avg (1, 1, 1, 1, 1) = 1 avg(A,B) = 3.25 [Average of averages] avg(1,1,1,1,1,1,10) = 2.29 [The original data set]


Does Jordan have a career average of 30.4?

He has many averages, but yes this is one of them.


Is the average the same thing as the mean?

A Mean is a type of average, but there are other kinds of averages too, Modes and Medians.


What are averages used for?

an average is the most frequent number (or result) in a set of data.


A NFL Head coach averages getting paid in a yearly average?

4.5mm


What is the yearly average rainfall in pa?

It averages 44 inches per year.


What is average temperature on Mount Everest?

-30 degreesThe summit averages -33F.


What are 3 major stock averages?

3 major stock INDEXES, not averages, Dow Jones Industrial Average (DJIA), NASDAQ, and S&P 500.


What is the difference between Average method vs weighted average method?

in weighted average method we assigns the weight to the averages while in average methods we dnt do this