Statistical Operators

Elzed provides a few built-in statistical operators. Operators which work on a list of parameters (like average, perm, etc.) will also work on a single array.

average value

average( item_1, item_2,..., item_n )
average( array )

also

amean( item_1, item_2,..., item_n )
amean( array )

Returns the arithmetic mean of the list items. For example, average( 1, 3, 7 ) would return 3.67.

combinations

comb( size of population, group size )

Returns the number of combinations of groups of the given size formed from the given population size. Group size may not exceed population size. For example, comb( 10, 5 ) would return 252.

geometric mean

gmean( item_1, item_2,..., item_n )
gmean( array )

Returns the geometric mean of the list items. For example, gmean( 1, 3, 7 ) would return 2.76.

harmonic mean

hmean( item_1, item_2,..., item_n )
hmean( array )

Returns the harmonic mean of the list items. For example, hmean( 1, 3, 7 ) would return 2.03.

maximum value

max( item_1, item_2,..., item_n )
max( array )

Returns the largest item in the list. For example, max( 3, 42, 9, 17 ) would return 42.

minimum value

min( item_1, item_2,..., item_n )
min( array )

Returns the smallest item in the list. For example, min( 3, 42, 9, 17 ) would return 3.

permutations

perm( size of population, group size )

Returns the number of permutations of groups of the given size formed from the given population size. Group size may not exceed population size. For example, perm( 10, 5 ) would return 30240.

range

range( item_1, item_2,..., item_n )
range( array )

Returns the difference between the smallest and largest numbers in the passed-in list.

root mean square

rms( item_1, item_2,..., item_n )
rms( array )

Returns the root mean square of the list items. For example, rms( 1, 3, 7 ) would return 4.43.

standard deviation

stddev( item_1, item_2,..., item_n )
stddev( array )

Returns the standard deviation of the items in the list.

statistical variance

variance( item_1, item_2,..., item_n )
variance( array )

Returns the statistical variance of the passed-in list.

sum

sum( item_1, item_2,..., item_n )
sum( array )

Returns the arithmetic sum of the items in the list.