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Statistics

  

Range

  

compute the range

 

Calling Sequence

Parameters

Description

Computation

Options

Examples

References

Compatibility

Calling Sequence

Range(A, options)

Parameters

A

-

data set or Matrix data set

options

-

(optional) equation(s) of the form option=value where option is one of ignore, or weights; specify options for computing the range of a data set

Description

• 

The Range function computes the range of the specified data set, which is defined as the difference between the largest and the smallest values. Note that the range is based only on the lowest and highest extreme values in the sample. Use the Support command to compute the support set of a random variable.

• 

The first parameter can be a one-dimensional data set (given as e.g. a Vector) or a Matrix data set.

Computation

• 

All computations involving data are performed in floating-point; therefore, all data provided must have type realcons and all returned solutions are floating-point, even if the problem is specified with exact values.

• 

For more information about computation in the Statistics package, see the Statistics[Computation] help page.

Options

  

The options argument can contain one or more of the options shown below. More information for some options is available in the Statistics[DescriptiveStatistics] help page.

• 

ignore=truefalse -- This option controls how missing data is handled by the Range command. Missing items are represented by undefined or Float(undefined). So, if ignore=false and A contains missing data, the Range command will return undefined. If ignore=true all missing items in A will be ignored. The default value is false.

• 

weights=Vector -- Data weights. The number of elements in the weights array must be equal to the number of elements in the original data sample. By default all elements in A are assigned weight 1. This options is added for consistency only as adding weights to the data does not affect the range.

Examples

withStatistics:

Generate a random sample of size 100000 drawn from the Rayleigh distribution and compute the sample range.

ASampleRayleigh3,105:

RangeA

13.8294890185824

(1)

Compute the range of a data set with missing values.

Vseqi,i=57..77,undefined:

Wseq1,i=1..22:

RangeV

HFloatundefined

(2)

RangeV,ignore=true

20.

(3)

RangeV,weights=W,ignore=true

20.

(4)

Consider the following Matrix data set.

MMatrix3,1130,114694,4,1527,127368,3,907,88464,2,878,96484,4,995,128007

M31130114694415271273683907884642878964844995128007

(5)

We compute the range of each of the columns.

RangeM

2.649.39543.

(6)

References

  

Stuart, Alan, and Ord, Keith. Kendall's Advanced Theory of Statistics. 6th ed. London: Edward Arnold, 1998. Vol. 1: Distribution Theory.

Compatibility

• 

The A parameter was updated in Maple 16.

See Also

Statistics

Statistics[Computation]

Statistics[DescriptiveStatistics]

Statistics[Support]