Documentation/Calc Functions/VARP

    From The Document Foundation Wiki

    Function name:

    VARP

    Category:

    Statistical Analysis

    Summary:

    Calculates the population variance of a set of numbers.

    Syntax:

    VARP(Number 1[; Number 2[; ...[; Number 255]]])

    Returns:

    Returns a non-negative real number, which is the population variance of the supplied numbers.

    Arguments:

    Number 1, Number 2, ..., Number 255 give the set of real numbers for which the population variance is to be calculated. Each argument may be a value or an expression, a reference to a single cell, a reference to a cell range, the name of a named or database range, or an inline array.

    Note that although VARP can accept up to 255 arguments, each argument could specify a range of cells. This means that the number of real numbers processed could be many more than 255.

    The following conditions (including errors) may be encountered:

    • If any argument is a string in quotation marks, then VARP reports a parameter list error (Err:504).
    • Text in cells and empty cells are ignored.
    • If no numbers are supplied, then VARP reports a #DIV/0! error.
    • If only one number is supplied, then VARP returns 0.

    Additional details:

    • Calc's VARP and VAR.P functions perform identical calculations. The requirements for VARP are specified in ODF 1.2; VAR.P is provided for interoperability with Microsoft Excel.
    • The formula for the population variance ([math]\displaystyle{ \sigma^2 }[/math]) is:
    [math]\displaystyle{ \sigma^2\:=\:\frac{1}{n}\sum_{i=1}^{n}(x_{i}-\mu)^2 }[/math]
    where
    • [math]\displaystyle{ n }[/math] is the size of the population
    • [math]\displaystyle{ x_{i} }[/math] is the i-th value in the population
    • [math]\displaystyle{ \mu }[/math] is the population mean
    • For more information on variances, visit Wikipedia's Variance page.

    Examples:

    Formula Description Returns
    =VARP(A1:A5) where cells A1:A5 contain the values 1, 2, 3, 4, and 5 respectively. Here the function calculates the population variance of the five values in the specified cells. 2
    =VARP(3; 4; 5; 6; 2; 3; 1) Here the function calculates the population variance of the seven values passed as individual arguments. 2.53061224489796
    =VARP({3, 4, -5, 6.05, 2, 3, -1.5}) Here the function calculates the population variance of the seven values passed in an inline array. 11.8278571428571

    Related LibreOffice functions:

    AVERAGE

    AVERAGEA

    STDEV

    STDEV.P

    STDEV.S

    STDEVA

    STDEVP

    STDEVPA

    VAR

    VAR.P

    VAR.S

    VARA

    VARPA

    ODF standard:

    Section 6.18.84, part 2

    Related (or similar) Excel functions:

    VARP