Difference between revisions of "Manuals/calci/STDEVP"
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| − | <div | + | <div style="font-size:30px">'''STDEVP(n1,n2,n3…)'''</div><br/> |
| + | *<math>n1,n2,n3... </math> are numbers. | ||
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| − | < | + | ==Description== |
| + | *This function gives the standard deviation based on a entire population as the the given data . | ||
| + | *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 <math>STDEVP(n1,n2,n3...), n1,n2,n3...,</math> are numbers to find the standard deviation. | ||
| + | *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. | ||
| + | *<math> STDEVP </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 <math> "n" </math> 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 [[Manuals/calci/STDEV | STDEV ]] function. | ||
| + | *For huge sample sizes the functions <math> STDEV </math> and <math> STDEVP </math> are approximately equal values. | ||
| + | *The arguments can be either numbers or names, array,constants or references that contain numbers. | ||
| + | *Suppose the array contains text,logical values or empty cells, like that values are not considered. | ||
| + | *When we are entering logical values and text representations of numbers as directly, then the arguments are counted. | ||
| + | *Suppose the function have to consider the logical values and text representations of numbers in a reference , we can use the [[Manuals/calci/STDEVPA | STDEVPA ]] 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. | ||
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| − | + | ==Examples== | |
| − | + | {| class="wikitable" | |
| − | + | |+Spreadsheet | |
| − | + | |- | |
| − | + | ! !! A !! B !! C !! D!! E !!F!! G | |
| − | + | |- | |
| − | + | ! 1 | |
| − | + | | 87 || 121 || 427 ||390 || 110 || || | |
| − | + | |- | |
| − | + | ! 2 | |
| − | + | | 2 || 2.4 || 3.7 || 14.9 || 28 || 198 || 154.1 | |
| − | + | |- | |
| − | + | ! 3 | |
| − | + | | 9 || -4 ||-29 ||38 || 101 || || || | |
| − | + | |} | |
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| − | + | #STDEVP(A1:E1) = 149.0597195757 | |
| + | #STDEVP(A2:G2) = 76.31463871127 | ||
| + | #STDEVP(A3:E3) = 44.58250778015 | ||
| + | #STDEVP(0,2,8,10,11.7,23.8,32.1,43.7) = 14.389530699435 | ||
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| − | + | ==See Also== | |
| − | + | *[[Manuals/calci/DSTDEV | DSTDEV]] | |
| − | + | *[[Manuals/calci/DSTDEVP | DSTDEVP ]] | |
| − | + | *[[Manuals/calci/STDEV | STDEV ]] | |
| − | + | *[[Manuals/calci/STDEVA| STDEVA]] | |
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| − | + | ==References== | |
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Revision as of 03:18, 25 January 2014
STDEVP(n1,n2,n3…)
- are numbers.
are numbers.
Description
- This function gives the standard deviation based on a entire population as the the given data .
- 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:
are numbers to find the standard deviation.
is required. 
are optional.
is defined by the formula:where is the sample mean of x and n is the total numbers in the given data.
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" } 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 STDEV 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.
- Suppose the array contains text,logical values or empty cells, like that values are not considered.
- When we are entering logical values and text representations of numbers as directly, then the arguments are counted.
- Suppose the function have to consider the logical values and text representations of numbers in a reference , we can use the STDEVPA function.
- This function will return the result as error when
and 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 | 87 | 121 | 427 | 390 | 110 | |||
| 2 | 2 | 2.4 | 3.7 | 14.9 | 28 | 198 | 154.1 | |
| 3 | 9 | -4 | -29 | 38 | 101 |
- STDEVP(A1:E1) = 149.0597195757
- STDEVP(A2:G2) = 76.31463871127
- STDEVP(A3:E3) = 44.58250778015
- STDEVP(0,2,8,10,11.7,23.8,32.1,43.7) = 14.389530699435