Univariate descriptive statistics

The univariate descriptive statistics can be thought of as companions to the univariate descriptive plots.  The best way to develop an idea of what the statistics are summarizing or attempting to convey is to always produce a descriptive plot first.

Measures of Central Tendency

Mode

definition: the most frequent class interval

Median

definition: 50th percentile, center point

Mean or Average

definition and properties of the mean

Choosing a measure of central tendency

symmetric distributions

asymmetric distributions


Measures of Variability or Dispersion

Range

definition: (maximum value - minimum value)

Interquartile range

definition: (75th percentile - 25th percentile) (i.e., width of the box in a boxplot)

Variance and standard deviation

definitions

Coefficient of variation

definition

Measures of the shapes of distributions

definitions