Difference between revisions of "Manuals/calci/DEVSQ"
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*This function gives the sum of squares of deviation of a given set of numbers. | *This function gives the sum of squares of deviation of a given set of numbers. | ||
*This function will calculate with following steps : | *This function will calculate with following steps : | ||
| − | #Find the mean . | + | #Find the mean. |
#Find the deviation of each value. For that, subtract all numbers with its mean value. | #Find the deviation of each value. For that, subtract all numbers with its mean value. | ||
| − | #Square each | + | #Square each Deviation Values and find its sum. |
| − | *<math>DEVSQ=\sum(xi-\bar{x})^2</math> where <math>xi<math> is the every observation and <math>\bar{x}</math> is the Arithmetic Mean. | + | *<math>DEVSQ=\sum(xi-\bar{x})^2</math> where <math>xi</math> is the every observation and <math>\bar{x}</math> is the Arithmetic Mean. |
*Here we have to give more than one arguments and arguments can be either numbers,names,logical values, | *Here we have to give more than one arguments and arguments can be either numbers,names,logical values, | ||
arrays or cell references that contain numbers. | arrays or cell references that contain numbers. | ||
| − | *Also cells with the value of '0' are considered and the arguments contains text, logical values or empty cells are ignored. This function will give the result as error, when the text couldn't | + | *Also cells with the value of '0' are considered and the arguments contains text, logical values or empty cells are ignored. |
| + | This function will give the result as error, when the text couldn't be converted to numbers. | ||
==Examples== | ==Examples== | ||
Revision as of 05:01, 21 November 2013
DEVSQ(n1,n2...)
- where are any real numbers.
are any real numbers.Description
- This function gives the sum of squares of deviation of a given set of numbers.
- This function will calculate with following steps :
- Find the mean.
- Find the deviation of each value. For that, subtract all numbers with its mean value.
- Square each Deviation Values and find its sum.
- where is the every observation and is the Arithmetic Mean.
- Here we have to give more than one arguments and arguments can be either numbers,names,logical values,
where 
is the every observation and 
is the Arithmetic Mean.arrays or cell references that contain numbers.
- Also cells with the value of '0' are considered and the arguments contains text, logical values or empty cells are ignored.
This function will give the result as error, when the text couldn't be converted to numbers.
Examples
- DEVSQ(50,52, 54, 56, 58, 60)
- step1:Mean=50+52+ 54+ 56+ 58+ 60/6=330/6=55
- step2:deviation=|50-55|,|52-55|,|54-55|,|56-55|,|58-55|,|60-55|=5,3,1,1,3,5
- step 3:5^2,3^2,1^2,1^2,3^2,5^2=25+9+1+1+9+25=70
- DEVSQ(5,-10,13,-7,9)=404
- DEVSQ(1.2,6.4,8.3,5.7,10)=44.068