Fancy term for average
# Mean (Arithmetic)
## Sample
The mean calculated from a subset of the population of size $n$
$
\bar{x}=\frac{1}{n}\sum_{i=1}^nx_i
$
## Population
The population mean is the mean of all observations of the population with size $N$
$
\mu=\frac{1}{N}\sum_{i=1}^Nx_i
$
Can be skewed by ***outliers*** -- data points that are not representative of the set and influence the mean
# Median
The middle value of a dataset if it is odd-sized. If the set is even-sized, the median is the average of the two middle values.
$
\text{Median}(X)=\begin{cases}X\left(\frac{n}{2}\right)& n \text{ odd}\\\frac{X\left(\frac{n+1}{2}\right)+X\left(\frac{n-1}{2}\right)}{2}&n\text{ even}\end{cases}
$
# Mode
The most common value in a dataset