Difference between revisions of "Manuals/calci/VARP"

Latest revision as of 16:31, 8 August 2018

VARP()

Parameters are set of numbers.
- VARP(),calculates variance based on the entire population.

This function gives the variance based on the entire population.
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 $\sigma$ . The square root of variance is called the standard deviation.
In $VARP()$ , Parameters are numbers based on a population. Here First Parameter is required. From the second parameter are optional.
To find the variance we can use the following formula:

$Variance={\frac {\sum (x_{i}-{\bar {x}})^{2}}{n-1}}$ where ${\bar {x}}$ is the sample mean of $x_{i}$ and $n$ is the sample size.

Suppose $\sigma =0$ which is indicating all the values are identical.
When $\sigma$ 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.

Spreadsheet
	A	B	C	D	E	F
1	40	45	60	24	72	81
2	10.21	11.65	17.81	15.02	18.18	27.41

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''VARP(n1,n2,n3…)'''</div><br/>
+<div style="font-size:30px">'''VARP()'''</div><br/>
-*<math>n1,n2,n3,... </math>  are numbers.
+*Parameters  are set of numbers.
+**VARP(),calculates variance based on the entire population.
 ==Description==
@@ Line 7: / Line 9: @@
 *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.
-*In <math>VARP(n1,n2,n3,...)</math>, <math>n1,n2,n3,...</math> are numbers based on a  population. Here <math>n1</math> is required. <math>n2,n3,...</math> are optional.
+*In <math>VARP()</math>, Parameters  are numbers based on a  population. Here First Parameter  is required. From the second parameter are optional.
 *To find the variance we can use the following formula:
 <math>Variance= \frac{\sum (x_i-\bar{x})^2}{n-1}</math>
@@ Line 40: / Line 42: @@
 #=VARP(A1:F2) = 31.4284222222
 #=VARP(30,32,37,41,TRUE) = 199.76
-#=VARP(40,61,53,46,FALSE) = 549.2
+#=VARP(40,61,53,46,FALSE) = 449.2
 ==Related Videos==
@@ Line 54: / Line 56: @@
 ==References==
 *[http://en.wikipedia.org/wiki/Variance Variance]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]