Difference between revisions of "Manuals/calci/STDEVPA"
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− | <div style="font-size:30px">'''STDEVPA( | + | <div style="font-size:30px">'''STDEVPA()'''</div><br/> |
− | * | + | *Parameters are set of numbers. |
+ | **STDEVPA(),calculates standard deviation based on the entire population, including numbers, text, and logical values. | ||
==Description== | ==Description== | ||
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*It is the used as a measure of the dispersion or variation in a distribution. | *It is the used as a measure of the dispersion or variation in a distribution. | ||
*It is calculated as the square root of variance. | *It is calculated as the square root of variance. | ||
− | *In <math> STDEVPA( | + | *In <math> STDEVPA()</math>, Parameters are set of numbers to find the standard deviation. |
− | *Here | + | *Here First Parameter is required. From the second Parameter 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. | ||
*STDEVPA is defined by the formula: | *STDEVPA is defined by the formula: | ||
<math>S.D= \sqrt \frac {\sum(x-\bar{x})^2}{(n-1)} </math> | <math>S.D= \sqrt \frac {\sum(x-\bar{x})^2}{(n-1)} </math> | ||
where <math> \bar{x} </math> is the sample mean of <math> x </math> and <math> n </math> is the total number in the given data. | where <math> \bar{x} </math> is the sample mean of <math> x </math> and <math> n </math> is the total number in the given data. | ||
− | *It is calculated using <math> | + | *It is calculated using <math> n </math> method. |
*This function is considering our given data is the entire population. | *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 [[Manuals/calci/STDEVA| STDEVA]] function. | *Suppose it should consider the data as the sample of the population, we can use the [[Manuals/calci/STDEVA| STDEVA]] function. | ||
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| 2 || 2.4 || 3.7 ||14.9 || 28 || 198 || 154.1 | | 2 || 2.4 || 3.7 ||14.9 || 28 || 198 || 154.1 | ||
|- | |- | ||
− | | 5 || 9 || 17 || true || 6 || 0 || 41 | + | !3 |
+ | | 5 || 9 || 17 || true || 6 || 0 || 41 | ||
|} | |} | ||
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#=STDEVPA(A2:G2) = 76.31463871127 | #=STDEVPA(A2:G2) = 76.31463871127 | ||
#=STDEVPA(A3:D3) = 5.916079783 | #=STDEVPA(A3:D3) = 5.916079783 | ||
− | #=STDEVPA(2,12,22,32,false) = | + | #=STDEVPA(2,12,22,32,false) = 12.09297316626478 |
==Related Videos== | ==Related Videos== | ||
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==References== | ==References== | ||
*[http://en.wikipedia.org/wiki/Standard_deviation Standard Deviation] | *[http://en.wikipedia.org/wiki/Standard_deviation Standard Deviation] | ||
+ | |||
+ | |||
+ | |||
+ | *[[Z_API_Functions | List of Main Z Functions]] | ||
+ | |||
+ | *[[ Z3 | Z3 home ]] |
Latest revision as of 17:21, 8 August 2018
STDEVPA()
- Parameters are set of numbers.
- STDEVPA(),calculates standard deviation based on the entire population, including numbers, text, and logical values.
Description
- This function gives the standard deviation based on a entire population as 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 , Parameters are set of numbers to find the standard deviation.
- Here First Parameter is required. From the second Parameter are optional.
- Instead of numbers we can use the single array or a reference of a array.
- STDEVPA is defined by the formula:
where is the sample mean of and is the total number in the given data.
- It is calculated using 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 and 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 reference.
- Suppose the arguments containing TRUE which is evaluate 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 non-numeric. 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 | 87 | 121 | 427 | 390 | 110 | 542 | 412 |
2 | 2 | 2.4 | 3.7 | 14.9 | 28 | 198 | 154.1 |
3 | 5 | 9 | 17 | true | 6 | 0 | 41 |
- =STDEVPA(A1:E1) = 149.0597195757
- =STDEVPA(A2:G2) = 76.31463871127
- =STDEVPA(A3:D3) = 5.916079783
- =STDEVPA(2,12,22,32,false) = 12.09297316626478
Related Videos
See Also
References