What does standard deviation measure? What is its relation to variance, and why is it useful?
What will be an ideal response?
Ans: Varies.
Standard deviation is a measure of a distribution’s variability and it tells us the average deviation of each case from the mean. It is calculated as the square root of variance. The standard deviation is useful because it tells us how much variation or spread there is in a given set of scores. Also, standard deviations allow us to evaluate how far any given score is from the mean in terms of standard deviations, which tell us the relative standing of that score compared to others in the distribution.
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