Skip to main content
Cross Validated

Return to Question

Tweeted twitter.com/StackStats/status/880197682467184640
Make the title more specific to help search results.
Link
conjectures
conjectures
  • 4.3k
  • 25
  • 38

Zero-sum property of the difference between the data and the mean

added 9 characters in body
Source Link
Tim
Tim
  • 141.2k
  • 26
  • 270
  • 512

I am new in statistical studies and on this site and I came across the "zero-sum property" in my book regarding the mean. It seems to be straight forward but I still can't understand the notion of it. The only information it gives with the formula is "the sum of the difference between each value of a variable Y, noted Yi, and the mean value of Y, noted as Y-bar, is equal to zero.

the sum of the difference between each value of a variable $Y$, noted $Y_i$, and the mean value of $Y$, noted as $\bar Y$, is equal to zero.

Could someone explain the concept better? Thank you.

I am new in statistical studies and on this site and I came across the "zero-sum property" in my book regarding the mean. It seems to be straight forward but I still can't understand the notion of it. The only information it gives with the formula is "the sum of the difference between each value of a variable Y, noted Yi, and the mean value of Y, noted as Y-bar, is equal to zero. Could someone explain the concept better? Thank you.

I am new in statistical studies and on this site and I came across the "zero-sum property" in my book regarding the mean. It seems to be straight forward but I still can't understand the notion of it. The only information it gives with the formula is

the sum of the difference between each value of a variable $Y$, noted $Y_i$, and the mean value of $Y$, noted as $\bar Y$, is equal to zero.

Could someone explain the concept better?

Source Link
MK Qn
MK Qn
  • 111
  • 1
  • 3

Zero-sum property

I am new in statistical studies and on this site and I came across the "zero-sum property" in my book regarding the mean. It seems to be straight forward but I still can't understand the notion of it. The only information it gives with the formula is "the sum of the difference between each value of a variable Y, noted Yi, and the mean value of Y, noted as Y-bar, is equal to zero. Could someone explain the concept better? Thank you.