Difference between revisions of "Manuals/calci/STDEVA"
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*Here <math> n1 ,</math> is required. <math> n2,n3,..</math> are optional. | *Here <math> n1 ,</math> is required. <math> n2,n3,..</math> are optional. | ||
*Instead of numbers we can use the single array or a reference of a array. | *Instead of numbers we can use the single array or a reference of a array. | ||
− | *<math> STDEVA </math> is defined by the formula: S.D= sqrt | + | *<math> STDEVA </math> is defined by the formula:<math>S.D= \sqrt \frac {\sum(x-\bar{x})^2}{(n-1)} </math> where <math> \bar{x} </math> is the sample mean of x and n is the total numbers in the given data. |
− | *It is calculated using "n-1" method. | + | *It is calculated using <math> "n-1" </math> method. |
*This function is considering our given data is the sample of the population. | *This function is considering our given data is the sample of the population. | ||
− | *Suppose it should consider the data as the entire population, we can use the STDEVPA function. | + | *Suppose it should consider the data as the entire population, we can use the [[STDEVPA]] function. |
*The arguments can be be either numbers or names, array,constants or references that contain numbers. | *The arguments can be 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. | *Also we can give the text representations of numbers or logical values , like TRUE or FALSE, in a rference. | ||
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1. Any one of the argument is nonnumeric. | 1. Any one of the argument is nonnumeric. | ||
2. The arguments containing the error values or text that cannot be translated in to numbers. | 2. The arguments containing the error values or text that cannot be translated in to numbers. | ||
+ | |||
+ | |||
+ | ==Examples== | ||
+ | {| class="wikitable" | ||
+ | |+Spreadsheet | ||
+ | |- | ||
+ | ! !! A !! B !! C !! D!! E !!F !!G | ||
+ | |- | ||
+ | ! 1 | ||
+ | | 208 || 428 || 511 || 634 || 116 || 589 || 907 | ||
+ | |- | ||
+ | ! 2 | ||
+ | | 18 || 25 || 76 || 91 || 107 || || | ||
+ | |} | ||
+ | |||
+ | #STDEVA(A2:E2)=39.8660256358 | ||
+ | #STDEVA(A1:G1)=267.0566196431 | ||
+ | #STDEVA(4,8,TRUE) = 3.51188458428 | ||
+ | #STDEVA(12,18,27,32,false)= 8.958236433584458 | ||
+ | |||
+ | |||
+ | |||
+ | |||
Revision as of 02:52, 25 January 2014
STDEVA(n1,n2,n3…)
- are numbers.
Description
- This function gives the standard deviation based on a given sample 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 , are numbers to find the standard deviation.
- Here is required. are optional.
- Instead of numbers we can use the single array or a reference of a array.
- is defined by the formula: where 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-1" } method.
- This function is considering our given data is the sample of the population.
- Suppose it should consider the data as the entire population, we can use the STDEVPA function.
- The arguments can be 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 STDEV 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
A | B | C | D | E | F | G | |
---|---|---|---|---|---|---|---|
1 | 208 | 428 | 511 | 634 | 116 | 589 | 907 |
2 | 18 | 25 | 76 | 91 | 107 |
- STDEVA(A2:E2)=39.8660256358
- STDEVA(A1:G1)=267.0566196431
- STDEVA(4,8,TRUE) = 3.51188458428
- STDEVA(12,18,27,32,false)= 8.958236433584458
STDEVA (v1, v2...)
Where v1,v2.....are arguments.
In standard deviation the values are dispersed from the mean.
- 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.
S D formula is:
Where x is the sample mean average (V1,V2........) and n is the sample size.
STDEVA
150
130
165
132
110
137
121
?UNIQ1c32fc5faf401929-nowiki-00000002-QINU?
Syntax
Remarks
Examples
Description
Column1 | Column2 | Column3 | Column4 | |
Row1 | 150 | 18.184242 | ||
Row2 | 130 | |||
Row3 | 165 | |||
Row4 | 132 | |||
Row5 | 110 | |||
Row6 | 137 | |||
Row7 | 121 |