Summary: Review

Key Concepts

Interval Notation

For a finite interval $(a,b), (a,b], [a,b) \ \mathrm{or} \ [a,b]$ .

Population and sample mean, variance, and standard deviation

Population	Sample
Population size $N$	Sample size $n$
Population mean $\mu = \frac{\sum{x}}{N}$	Sample mean $\overline{x}=\frac{\sum{x}}{n}$
Population variance $\sigma ^2. = \frac{\sum{(x- \mu)^2}}{N}$	Sample variance $s^2=\frac{\sum{(x-\overline{x})^2}}{n-1}$
Population standard deviation $\sigma = \sqrt{\frac{\sum{(x-\mu)^2}}{N}}$	Sample standard deviation $s=\sqrt{\frac{\sum{(x-\overline{x})^2}}{n-1}}$