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Measure

Definition

Expression(s)

Count

The number of data values in a set

Count({xi})=n

Top m, Bottom m

The set of the largest (smallest) m values from a set. May be generated via an SQL command

Topm{xi}={Xn‑m+1,…Xn‑1,Xn};

Botm{xi}={X1,X2,… Xm};

Variety

 

The number of distinct i.e. different data values in a set. Some packages refer to the variety as diversity, which should not be confused with information theoretic and other diversity measures

 

Majority

 

The most common i.e. most frequent data values in a set. Similar to mode (see below), but often applied to raster datasets at the neighborhood or zonal level. For general datasets the term should only be applied to cases where a given class is 50%+ of the total

 

Minority

 

The least common i.e. least frequently occurring data values in a set. Often applied to raster datasets at the neighborhood or zonal level

 

Maximum, Max

The maximum value of a set of values. May not be unique

Max{xi}=Xn

Minimum, Min

The minimum value of a set of values. May not be unique

Min{xi}=X1

Sum

 

The sum of a set of data values

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