Difference between revisions of "Manuals/calci/VARPIF"

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VARPIF
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<div style="font-size:30px">'''VARPIF (Array,Condition,SumArray)'''</div><br/>
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*<math>Array</math> is the set of values.
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*<math>Condition</math> is the particular condition value.
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==Description==
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*This function gives the variance based on the entire population which satisfies the given condition.
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*In <math>VARPIF (Array,Condition,SumArray)</math>,<math>Array</math> is the set of values.
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*<math>Condition</math> is the particular condition which satisfies the variance values.
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*Variance is a measure of dispersion obtained by taking the mean of the squared deviations of the observed values from their mean in a frequency distribution.
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*i.e.,variance  is a measure of how far each value in the data set is from the mean.
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*It is denoted by <math> \sigma </math>.
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*The square root of variance is called the standard deviation.
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*To find the variance we can use the following formula:
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<math>Variance= \frac{\sum (x_i-\bar{x})^2}{n-1}</math>
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where <math> \bar{x}</math> is the sample mean of <math>x_i</math> and <math> n </math> is the sample size.
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*Suppose <math>\sigma = 0</math> which is indicating all the values are identical.
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*When <math>\sigma </math> is non-zero then it is always positive.
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*This function is considering our given data is the entire population.
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*Suppose it should consider the data as the sample of the population, we can use the [[Manuals/calci/VAR  | VAR ]] function.
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*The arguments can be  either numbers or names, array,constants or references that contain numbers.
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*Suppose the array contains text,logical values or empty cells, like that values are not considered.
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*When we are entering logical values and text representations of numbers  as directly, then the arguments are counted.
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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/VARPA  | VARPA ]] function.
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*This function will return the result as error when
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      1. Any one of the argument is non-numeric.
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      2. The arguments containing the error values or text that cannot be translated in to numbers.
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==Examples==

Revision as of 13:50, 4 May 2017

VARPIF (Array,Condition,SumArray)


  • is the set of values.
  • is the particular condition value.

Description

  • This function gives the variance based on the entire population which satisfies the given condition.
  • In , is the set of values.
  • is the particular condition which satisfies the variance values.
  • Variance is a measure of dispersion obtained by taking the mean of the squared deviations of the observed values from their mean in a frequency distribution.
  • i.e.,variance is a measure of how far each value in the data set is from the mean.
  • It is denoted by .
  • The square root of variance is called the standard deviation.
  • To find the variance we can use the following formula:

where is the sample mean of and is the sample size.

  • Suppose which is indicating all the values are identical.
  • When is non-zero then it is always positive.
  • 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 VAR function.
  • 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 VARPA 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