Statistics[FivePointSummary] - compute the five-point summary for a data sample
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Calling Sequence
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FivePointSummary(data, options)
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Parameters
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data
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Array or Matrix data set; data sample
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options
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(optional) equation(s) of the form option=value where option is one of ignore, output or weights; specify options for the FivePointSummary function
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Description
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The FivePointSummary command computes the minimum, lower hinge, median, upper hinge and the maximum of a data sample. By default the FivePointSummary command returns a list of equations of the form quantity=value where quantity is one of minimum, lowerhinge, median, upperhinge, or maximum.
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Computation
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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.
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Options
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The options argument can contain one or more of the options shown below. Some of these options are described in more detail in the Statistics[DescriptiveStatistics] help page.
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ignore=truefalse -- This option controls how missing data is handled by the FivePointSummary command. Missing items are represented by undefined or Float(undefined). So, if ignore=false and A contains missing data, most of the statistics command will yield undefined. If ignore=true all missing items in A will be ignored. The default value is false.
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output=default or quantity where quantity is any of minimum, lowerhinge, median, upperhinge, or maximum, indicates which quantities need be calculated. The value of this option can also be a list. In this case the FivePointSummary command will return a list of the specified quantities in the specified order.
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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 .
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Compatibility
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The data parameter was updated in Maple 16.
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Examples
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Note the difference between the quantities computed by the FivePointSummary and the Quantile commands.
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Consider the following Matrix data set.
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We compute the five point summary of each of the columns.
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References
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Stuart, Alan, and Ord, Keith. Kendall's Advanced Theory of Statistics. 6th ed. London: Edward Arnold, 1998. Vol. 1: Distribution Theory.
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Download Help Document
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