The variance equation basically sums up all the distances between each data value and the mean of the set. The interesting thing is that each distance and squared for a reason that I believe is to make the distance positive, but why don't the statisticians just take the absolute value of each distance to give a smaller number? Is there some benefit to having a large number to work with? I mean, the smaller numbers nevertheless have decimals that can be used to compare magnitude and such.(adsbygoogle = window.adsbygoogle || []).push({});

Thank you.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# The Replacement of Squaring the Individual Distances with Absolute Values in Variance

**Physics Forums | Science Articles, Homework Help, Discussion**