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31 May 2017, 04:01
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Hi all
In weighted average formula, we divide by the TOTAL number of elements.
For example
Group A has an average of 40 boxes and Group B has an average of 60 boxes. The total number of people in group A and B are 10 and 20 respectively. What is the combined average or total average of the two groups?
Total boxes (A)= 40*10= 400
Total boxes (B)= 60*20= 1200
Total boxes (A+B)= 1600
Therefore average= 1600/30= 53.33
My question is when we find the total of two groups and then find their average. Why don't we divide the combined total by 2 as now there a two entities of which we have to find an average? Why do we combine the total no. of people and then divide?
Thanks.
In weighted average formula, we divide by the TOTAL number of elements.
For example
Group A has an average of 40 boxes and Group B has an average of 60 boxes. The total number of people in group A and B are 10 and 20 respectively. What is the combined average or total average of the two groups?
Total boxes (A)= 40*10= 400
Total boxes (B)= 60*20= 1200
Total boxes (A+B)= 1600
Therefore average= 1600/30= 53.33
My question is when we find the total of two groups and then find their average. Why don't we divide the combined total by 2 as now there a two entities of which we have to find an average? Why do we combine the total no. of people and then divide?
Thanks.
Archived Topic
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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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31 May 2017, 07:42
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We found the total number of boxes in (A+B) as 1600
If we are diving this 1600 by 2 then we will get average number of boxes (NOT per person) of two entities A (400 boxes) and B (1200 boxes)
But we are interested in finding what is the combined average, as per the question the combined average is defined as the number of boxes in a group per person, so we need to divide the total number of boxes (A+B) = 1600 by the total number of people in both the groups (A+B) = 30 to get the
Combined Average of the two groups (per person) = 1600/30 = 53.33
Hope it helps!
If we are diving this 1600 by 2 then we will get average number of boxes (NOT per person) of two entities A (400 boxes) and B (1200 boxes)
But we are interested in finding what is the combined average, as per the question the combined average is defined as the number of boxes in a group per person, so we need to divide the total number of boxes (A+B) = 1600 by the total number of people in both the groups (A+B) = 30 to get the
Combined Average of the two groups (per person) = 1600/30 = 53.33
Hope it helps!
16 Nov 2022, 02:12
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A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
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Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
