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Statistics

  

Tally

  

compute absolute frequencies

 

Calling Sequence

Parameters

Description

Options

Notes

Examples

Calling Sequence

Tally(X, options)

Parameters

X

-

data sample

options

-

(optional) equation(s) of the form option=value where option is one of weights or output; specify options for the Tally function

Description

• 

The Tally function returns a table of distinct elements in X together with their frequencies. (See also Statistics[TallyInto]).

• 

The first parameter X is the data set, given as e.g. a Vector.

Options

  

The options argument can contain one or more of the options shown below.

• 

output=list or table -- Set the type of output returned. The default value is list. In either case, the output consists of equations of the form element=frequency.

• 

weights=Array or list -- A vector of weights (one dimensional rtable). If weights are given, the Tally function will return distinct elements in X paired with their cumulative weights. Note that the weights provided must have type[realcons] and the returned frequencies are floating-point, even if the problem is specified with exact values. Both the data array and the weights array must have the same number of elements.

Notes

• 

If the value of the output option is set to output=list, the order of elements in the list is session dependent.

Examples

withStatistics:

AArray3,3,3,1,1,a,b,b,a,a,a,a,π,π,π,π

A:= 1 .. 16 ArrayData Type: anythingStorage: rectangularOrder: Fortran_order

(1)

TallyA

1=2,3=3,b=2,a=5,π=4

(2)

TallyA,output=table

table1=2,3=3,b=2,a=5,π=4

(3)

CArray3,3,1,a,b,π

C:=331abπ

(4)

WArray0.25,0.5,0.125,0.5,0.375,0.5625

W:=0.250.50.1250.50.3750.5625

(5)

TallyC,weights=W

1=0.125000000000000,3=0.750000000000000,b=0.375000000000000,a=0.500000000000000,π=0.562500000000000

(6)

See Also

Statistics

Statistics[Computation]

Statistics[FrequencyTable]

Statistics[Sort]

Statistics[TallyInto]

 


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