Difference between revisions of "Manuals/calci/VARP"
Jump to navigation
Jump to search
| (9 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
| − | <div style="font-size:30px">''' | + | <div style="font-size:30px">'''VARP()'''</div><br/> |
| − | * | + | *Parameters are set of numbers. |
| + | **VARP(),calculates variance based on the entire population. | ||
| + | |||
==Description== | ==Description== | ||
| Line 7: | Line 9: | ||
*i.e.,variance is a measure of how far each value in the data set is from the mean. | *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. | *It is denoted by <math> \sigma </math>. The square root of variance is called the standard deviation. | ||
| − | *In <math> | + | *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: | *To find the variance we can use the following formula: | ||
<math>Variance= \frac{\sum (x_i-\bar{x})^2}{n-1}</math> | <math>Variance= \frac{\sum (x_i-\bar{x})^2}{n-1}</math> | ||
| − | where <math> \bar{x}</math> is the sample mean of | + | 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. | *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. | *When <math>\sigma </math> is non-zero then it is always positive. | ||
| Line 40: | Line 42: | ||
#=VARP(A1:F2) = 31.4284222222 | #=VARP(A1:F2) = 31.4284222222 | ||
#=VARP(30,32,37,41,TRUE) = 199.76 | #=VARP(30,32,37,41,TRUE) = 199.76 | ||
| − | #=VARP(40,61,53,46,FALSE) = | + | #=VARP(40,61,53,46,FALSE) = 449.2 |
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|2evEY6MTxZQ|280|center|Sample Variance}} | ||
==See Also== | ==See Also== | ||
| − | *[[Manuals/calci/ DVAR | DVAR]] | + | *[[Manuals/calci/DVAR | DVAR ]] |
*[[Manuals/calci/DVARP | DVARP ]] | *[[Manuals/calci/DVARP | DVARP ]] | ||
*[[Manuals/calci/VARPA | VARPA ]] | *[[Manuals/calci/VARPA | VARPA ]] | ||
| Line 49: | Line 55: | ||
==References== | ==References== | ||
| + | *[http://en.wikipedia.org/wiki/Variance Variance] | ||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 17:31, 8 August 2018
VARP()
- Parameters are set of numbers.
- VARP(),calculates variance based on the entire population.
Description
- 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 . The square root of variance is called the standard deviation.
- In , 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:
. The square root of variance is called the standard deviation.
, Parameters are numbers based on a population. Here First Parameter is required. From the second parameter are optional.where is the sample mean of and is the sample size.
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
which is indicating all the values are identical. 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 | 40 | 45 | 60 | 24 | 72 | 81 |
| 2 | 10.21 | 11.65 | 17.81 | 15.02 | 18.18 | 27.41 |
- =VARP(A1:F1) = 377.555555556
- =VARP(A1:F2) = 31.4284222222
- =VARP(30,32,37,41,TRUE) = 199.76
- =VARP(40,61,53,46,FALSE) = 449.2
Related Videos
See Also
References