Explain why the standard deviation calculation differ for samples and populations.

What will be an ideal response?


The standard deviation is the average of the differences between the scores and the mean. For a population, this value is calculated using N to determine the average. However, the sample, as a representative of the population, will have lower variability than the whole population because you are not obtaining scores from every member, only a subset of the population. Thus, we adjust the standard deviation calculation for a sample to account for its lower variability and still provide a good estimate of the variability in the population the sample represents. We do this using n-1 (which are the degrees of freedom) in our calculation of the average of the deviations between the scores and the mean.

Psychology

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Psychology