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== | ||
| Line 7: | Line 8: | ||
*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== | ||
| Line 58: | Line 60: | ||
==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 16:21, 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:
, Parameters are set of numbers to find the standard deviation.where is the sample mean of and is the total number in the given data.
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
and 
are approximately equal values.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