Statistics Refresher

Scale Types

Nominal

Numbers as names

Ordinal

Ranks

Interval

Ranks and constant differences

Differences have meaning

Ratio

Interval and meaninful zero or origin

Ratios have meaning

Statistics for Distributions

Central Tendency

Mean:

Median

 

Mode

Variablility

Range: Maximum - Minimum

Variance in the population:

where .

The sample estimator of the variance is:

 

 

 

Standard deviation in the population:

The sample estimator of the standard deviation is:

 

Shape

Normality

Skew

Kurtosis

Other types

(bimodal, uniform, etc.)