The simplest one to answer is probably 1):The standard deviation is a measure of spread around the mean. Specifically, to calculate it, we:
- find the squared distance between x and the mean, i.e. x-µ for every x in our sample
- sum these, and take the square root.
If you don't know the population mean µ, you can't calculate this, since you can't know how far each value is from the mean.
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