Stats: Need help understanding where the sum of x^2 comes from

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SUMMARY

The discussion centers on understanding the derivation of the sum of squares, specifically the values 2431.72, 4901.66, and 3252.44. Participants clarify that to compute Sum(x), one must simply add the values in the provided data set, while Sum(x^2) requires squaring each individual value before summing them. This distinction is crucial for accurately calculating statistical measures in homework assignments involving sums of squares.

PREREQUISITES
  • Basic understanding of statistical summation concepts
  • Familiarity with squaring numbers
  • Ability to interpret homework statements in statistics
  • Knowledge of data manipulation techniques
NEXT STEPS
  • Research how to calculate variance and standard deviation using sums of squares
  • Learn about the significance of Sum(x) and Sum(x^2) in statistical analysis
  • Explore tools for statistical calculations, such as Excel or Python libraries like NumPy
  • Study examples of data sets and their corresponding sums of squares calculations
USEFUL FOR

Students studying statistics, educators teaching statistical concepts, and anyone looking to improve their understanding of data analysis techniques.

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Homework Statement



I have no idea where the sum of x^2 comes from, from the information I posted. I know it must be something pretty simple but its completely going over my head. In the picture that I've attached, I am wondering where the 2431.72, 4901.66, and 3252.44 come from. Thank you for any help.


Homework Equations





The Attempt at a Solution

 

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What did you try to get Sum(x)? Sum(x^2)?
 
SteamKing said:
What did you try to get Sum(x)? Sum(x^2)?

I tried squaring x, but obviously that is not correct.
 
Did you try, you know, adding up the columns of figures? That's what Sum(x) means. The other one is trickier: you've got to square each number, and then add them up.
 
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