Measures of central tendency

Measures of central tendency are statistical values that summarize a set of data by identifying the central point within that dataset. They help provide an overview of where the middle of the data lies. The three main measures are the mean, median, and mode.

Mean

The sum of all values divided by the number of values.

\[\text{mean} = \frac{\sum x}{n}\]

\(\sum x\) is the sum of all data points and \(n\) is the number of data points.

Median

The middle value of a data set when the values are arranged in ascending order. If there is an even number of values, the median is the average of the two middle numbers.

Mode

The value that appears most frequently in a data set. There can be more than one mode, or no mode if all values are unique.