Difference between revisions of "Manuals/calci/STDEV"
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*<math>n1,n2,n3... </math> are numbers. | *<math>n1,n2,n3... </math> are numbers. | ||
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==Description== | ==Description== | ||
| − | *This function gives the | + | *This function gives the Standard Deviation based on a given sample. |
| − | *Standard | + | *Standard Deviation is the quantity expressed by, how many members of a group differ from the mean value of the group. |
*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> STDEV(n1,n2,n3...), n1,n2,n3...</math>, are numbers to find the | + | *In <math> STDEV(n1,n2,n3...)</math>, <math>n1,n2,n3...</math>, are numbers to find the Standard Deviation. |
*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> STDEV </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 <math> x </math> and <math> n </math> is the total numbers | + | *<math> STDEV </math> is defined by the formula: |
| − | *It is calculated using <math>"n-1" </math> method. | + | <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 numbers of the given data. | ||
| + | *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 [[Manuals/calci/STDEVP | STDEVP ]] function. | *Suppose it should consider the data as the entire population, we can use the [[Manuals/calci/STDEVP | STDEVP ]] function. | ||
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*Suppose the function have to consider the logical values and text representations of numbers in a reference , we can use the [[Manuals/calci/STDEVA| STDEVA]] function. | *Suppose the function have to consider the logical values and text representations of numbers in a reference , we can use the [[Manuals/calci/STDEVA| STDEVA]] function. | ||
*This function will return the result as error when | *This function will return the result as error when | ||
| − | 1. Any one of the argument is | + | 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. | 2. The arguments containing the error values or text that cannot be translated in to numbers. | ||
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|} | |} | ||
| − | # STDEV(18,25,76,91,107)=39.8660256358 | + | #=STDEV(18,25,76,91,107) = 39.8660256358 |
| − | #STDEV(208,428,511,634,116,589,907)=267.0566196431 | + | #=STDEV(208,428,511,634,116,589,907) = 267.0566196431 |
| − | #STDEV(A1:F1)=5.52871293039 | + | #=STDEV(A1:F1) = 5.52871293039 |
| − | #STDEV(A2:D2)=3.304037933599 | + | #=STDEV(A2:D2) = 3.304037933599 |
| − | #STDEV(A3:B3)=1.414213562373 | + | #=STDEV(A3:B3) = 1.414213562373 |
==See Also== | ==See Also== | ||
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*[[Manuals/calci/DSTDEVP | DSTDEVP ]] | *[[Manuals/calci/DSTDEVP | DSTDEVP ]] | ||
*[[Manuals/calci/STDEVP | STDEVP ]] | *[[Manuals/calci/STDEVP | STDEVP ]] | ||
| − | *[[Manuals/calci/STDEVA| STDEVA]] | + | *[[Manuals/calci/STDEVA | STDEVA]] |
==References== | ==References== | ||
Revision as of 04:05, 30 January 2014
STDEV(n1,n2,n3…)
- are numbers.
are numbers.Description
- This function gives the Standard Deviation based on a given sample.
- Standard Deviation is the quantity expressed by, how many members of a group differ from the mean value of 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:
, 
is required. 
are optional.
is defined by the formula:
where is the sample mean of and is the total numbers of the given data.
is the sample mean of 
and 
is the total numbers of the given data.
- It is calculated using Failed to parse (syntax error): {\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 STDEVP function.
- The arguments can be 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 STDEVA 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 | |
|---|---|---|---|---|---|---|
| 1 | 0 | 4 | 6 | 10 | 12 | 15 |
| 2 | 7 | 3 | -1 | 2 | 25 | |
| 3 | 9 | 11 | 8 | 6 | 15 |
- =STDEV(18,25,76,91,107) = 39.8660256358
- =STDEV(208,428,511,634,116,589,907) = 267.0566196431
- =STDEV(A1:F1) = 5.52871293039
- =STDEV(A2:D2) = 3.304037933599
- =STDEV(A3:B3) = 1.414213562373
See Also