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## Homework Statement

My task is to explain why the sample statistics I have obtained differ from the population statistics I have obtained from some data - using "concepts taught in class, if they exist". I have calculated x̄ and s, as well as σ and µ.

## Homework Equations

First of all, the distribution is not normal, thus the emperical rule is invalid.

## The Attempt at a Solution

Part of me thinks it's a trick question because there are very few "concepts" I can think of. The only thing I can come up with is that the mean differs because it is merely

**one sample**, and according to the Central Limit Theorum, if I had a

**bigger sample space**, the mean would be similar. Similarly, the standard deviation differs because it is merely one sample. Is this all there is to it or am I missing something?