How to calculate reverse of Mean.

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SUMMARY

The discussion centers on the impossibility of recovering original numbers from their mean, specifically using the example of the numbers 83, 115, and 156, which yield a mean of 118. Participants clarify that once the mean is calculated, essential information is lost, making it impossible to revert to the original values through mathematical operations like addition or subtraction. The consensus is that the mean does not retain enough data to reconstruct the individual components of the dataset.

PREREQUISITES
  • Understanding of basic statistics, specifically mean calculation.
  • Familiarity with mathematical operations such as addition and subtraction.
  • Knowledge of information theory related to data loss.
  • Basic algebra skills for manipulating equations.
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  • Research the concept of data loss in statistical calculations.
  • Learn about measures of central tendency beyond the mean, such as median and mode.
  • Explore information theory and its implications on data reconstruction.
  • Study mathematical transformations and their effects on data integrity.
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Statisticians, data analysts, mathematics educators, and anyone interested in understanding the limitations of statistical measures in data recovery.

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.

--
Regards,

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)...
 

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