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How do you calculate an overall average from a set of component averages?
I recommend you do not try to average a set of components, because your result may be not be accurate. The best way to find an overall average is to average the entire data set.EXAMPLE: You have three columns of ten numbers each with an average listed at the bottom of each, say A11, B11, and C11. There are two ways you can solve this:Combine all the averages and divide by 3. [=SUM(A11:C11)/3] - But, the result may not reflect the average of the entire data set.Calbulate the average for all 30 numbers in the data set. [=SUM(A1:C10)/30] - This would give a much more accurate representation of the entire data set.
How can you average averages?
-- 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.
What six numbers average out to 4?
To find six numbers that average out to 4, we can use the formula for calculating averages: Average = (Sum of all numbers) / (Total number of numbers). Since we have six numbers, the sum of all numbers must be 6 * 4 = 24. To evenly distribute this sum, we can choose the numbers 3, 3, 4, 4, 5, and 5. Their sum is 24, and when divided by 6, the average is indeed 4.
Why do we calculate averages?
That's because averages give us some idea about general tendencies.
What are some example averages from everyday life?
averages in tests, bills, income, amount of time
