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| − | VARIF | + | <div style="font-size:30px">'''VARIF (Array,Condition,SumArray)'''</div><br/> |
| | + | *<math>Array</math> is the set of values. |
| | + | *<math>Condition</math> is the particular condition value. |
| | + | |
| | + | ==Description== |
| | + | *This function shows the Variance value of the given set which satisfies the given condition. |
| | + | *In <math>VARIF (Array,Condition,SumArray)</math>, <math>Array</math> is the set of values. |
| | + | *<math>Condition</math> 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 <math> \sigma </math>. |
| | + | *The square root of variance is called the standard deviation |
| | + | *To find the variance we can use the following formula: |
| | + | <math>Variance= \frac{\sum (x_i-\bar{x})^2}{n-1}</math> |
| | + | where <math> \bar{x}</math> is the sample mean of <math>x_i</math> and <math> n </math> is the sample size. |
| | + | *Suppose <math>\sigma = 0</math> which is indicating all the values are identical. |
| | + | *When <math>\sigma </math> is non-zero then it is always positive. |
| | + | *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/VARP | VARP ]] 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 [[Manuals/calci/VARA | VARA ]] 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. |