Manuals/calci/STDEVPA

STDEVPA(n1,n2,n3…)

• $n1,n2,n3...$ are numbers.

Description

• This function gives the standard deviation based on a entire population as the the given data including the logical value and text .
• Standard deviation is a quantity expressing by how much the members of a group differ from the mean value for the group.
• It is the used as a measure of the dispersion or variation in a distribution.
• It is calculated as the square root of variance.
• In $STDEVPA(n1,n2,n3...),n1,n2,n3...$, are numbers to find the standard deviation.
• Here $n1$ is required. $n2,n3,...$ are optional.
• Instead of numbers we can use the single array or a reference of a array.
• STDEVPA is defined by the formula: $S.D={\sqrt {\frac {\sum (x-{\bar {x}})^{2}}{(n-1)}}}$ where ${\bar {x}}$ is the sample mean of $x$ and $n$ is the total numbers in the given data.
• It is calculated using Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle "n" } method.
• This function is considering our given data is the entire population.
• Suppose it should consider the data as the sample of the population, we can use the STDEVA function.
• For huge sample sizes the functions $STDEVA$ and $STDEVPA$ are approximately equal values.
• The arguments can be either numbers or names, array,constants or references that contain numbers.
• Also we can give the text representations of numbers or logical values , like TRUE or FALSE, in a rference.
• Suppose the arguments containing TRUE which is eveluate as 1, and the arguments containing FALSE which is evaluate as 0.
• Suppose the array contains the empty cells and text values like that values are not considered.
• Suppose the function don't want to consider the logical values and text representations of numbers in a reference , we can use the * STDEVP function.
• This function will return the result as error when

   1. Any one of the argument is nonnumeric. 
   2. The arguments containing the error values or text that cannot be translated in to numbers.

Examples

Spreadsheet

	A	B	C	D	E	F	G
1	87	121	427	390	110	542	412
2	2	2.4	3.7	14.9	28	198	154.1
5	9	17	true	6	0	41	14

1. STDEVPA(A1:E1)=149.0597195757
2. STDEVPA(A2:G2)=76.31463871127
3. STDEVPA(A3:D3)=5.916079783
4. STDEVPA(2,12,22,32,false)=11.180339887498949

See Also

• DSTDEV
• DSTDEVP
• STDEVP
• STDEVA

References

 STDEVPA(V1,V2,...)

Where V1,V2......are integers.

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 This function calculates standard deviation based on the entire population by the given arguments, text and logical values.

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• S D is calculated by the "n-1" method.
• The Arguments can be numbers or names, arrays, or references.
• Empty cells, logical values, text, or error values are ignored.

• The text representations of numbers are also counted.
• In this function, TRUE evaluate as 1; and FALSE evaluate as 0 (zero).

• o find STDEVPA, the formula is:

Where x is the sample mean average (V1,V2........) and n is the sample size.

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STDEVPA

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Lets see an example,

150

130

165

132

110

137

121

?UNIQ7e892969b93851bf-nowiki-00000002-QINU?

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Syntax

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Remarks

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Examples

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Description

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	Column1	Column2	Column3	Column4
Row1	150	16.835337
Row2	130
Row3	165
Row4	132
Row5	110
Row6	137
Row7	121

File:Calci1.gif

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