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When we are calculating variance (or standard deviation) for a sample and intend to use it as an estimate of what is true for the population from which it was drawn, we divide the sum of the squared deviations of each score from the mean by “N – 1” instead of “N”. How do the values of standard deviation for a sample with the original (N) formula compare to the corrected (N-1) formula? Why do we use the corrected formula? Does this make a bigger difference for small samples or large samples?

When we are calculating variance (or standard deviation) for a sample and intend to use it as an estimate of what is true for the population from which it was drawn, we divide the sum of the squared deviations of each score from the mean by “N – 1” instead of “N”. How do the values of standard deviation for a sample with the original (N) formula compare to the corrected (N-1) formula? Why do we use the corrected formula? Does this make a bigger difference for small samples or large samples?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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When we are calculating variance (or standard deviation) for a sample and intend to use it as an estimate
of what is true for the population from which it was drawn, we divide the sum of the squared deviations of
each score from the mean by “N – 1” instead of “N”. How do the values of standard deviation for a sample
with the original (N) formula compare to the corrected (N-1) formula? Why do we use the corrected
formula? Does this make a bigger difference for small samples or large samples?

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