How to calculate reverse of Mean.

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To calculate the reverse of a mean, one cannot recover the original numbers from the mean alone due to the loss of information. The mean of a set of numbers represents an average, and multiple sets can yield the same mean. For example, the mean of (83, 115, 156) is 118, but so is the mean of (118, 118, 118) and (0, 118, 236). Thus, without additional data, it is impossible to uniquely determine the original values from the mean. The discussion highlights the limitations of using the mean for reverse calculations.
AsifJavaid
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Hi guys,

suppose that we have list of numbers

83+115+156 = 354

mean = 354/3 = 118

how can we get reverse of that .

Can recover the above three numbers (83,115,156) from 118 by doing some mathematical tricks ( subtraction/ addition) etc.

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Asif
 
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AsifJavaid said:
Can recover the above three numbers (83,115,156) from 118 by doing some mathematical tricks ( subtraction/ addition) etc.

No, because you've destroyed some of the information. The mean of (83, 115, 156) is the same as the mean of (118, 118, 118), which is the same as the mean of (0, 118, 236)...
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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