Difference between revisions of "Manuals/calci/AVERAGE"
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| − | <div style="font-size:30px">'''AVERAGE( | + | <div style="font-size:30px">'''AVERAGE()'''</div><br/> |
| − | * | + | *Parameters are any set of real numbers. |
| + | **AVERAGE(), returns the average of its arguments. | ||
==Description== | ==Description== | ||
| Line 10: | Line 11: | ||
*i.e if <math>n</math> numbers are given and each number is denoted by <math>a_i</math>, where <math>i=1</math> to <math>n</math>, then | *i.e if <math>n</math> numbers are given and each number is denoted by <math>a_i</math>, where <math>i=1</math> to <math>n</math>, then | ||
<math>A.M=\frac{1}{n}\sum_{i=1}^n a_i</math> = <math>\frac{1}{n}(a_1+a_2+.....+a_n)</math>. | <math>A.M=\frac{1}{n}\sum_{i=1}^n a_i</math> = <math>\frac{1}{n}(a_1+a_2+.....+a_n)</math>. | ||
| − | *In this function | + | *In this function,the parameters can either be numbers,arrays,references of cells or we can enter the logical values directly. |
*Arithmetic mean is the most common measures of central tendency. | *Arithmetic mean is the most common measures of central tendency. | ||
*Central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data. | *Central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data. | ||
| Line 23: | Line 24: | ||
#when the values are error values or text that cannot change in to numbers. | #when the values are error values or text that cannot change in to numbers. | ||
| − | ==ZOS | + | ==ZOS== |
| − | *The syntax is to calculate AVERAGE in ZOS is <math>AVERAGE( | + | *The syntax is to calculate AVERAGE in ZOS is <math>AVERAGE()</math>. |
| − | ** | + | **Parameters are any set of real numbers. |
*For e.g.,AVERAGE(10..15..0.25) | *For e.g.,AVERAGE(10..15..0.25) | ||
*AVERAGE(-10..-1) | *AVERAGE(-10..-1) | ||
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*AVERAGE( 2, 3, 11, 13, 17, 26, 34, 47) = 19.125 | *AVERAGE( 2, 3, 11, 13, 17, 26, 34, 47) = 19.125 | ||
*AVERAGE(5,-2,7,8,11,20,25,-9) = 8.125 | *AVERAGE(5,-2,7,8,11,20,25,-9) = 8.125 | ||
| + | *AVG(2cm,200m) = 100.01m | ||
| + | *AVG(3kg,2000g,3000mg) = 1667666.6666666667mg | ||
| + | |||
| + | ==Related Videos== | ||
| + | {{#ev:youtube|9VZsMY15xeU|280|center|Average}} | ||
==See Also== | ==See Also== | ||
| Line 40: | Line 46: | ||
*[[Manuals/calci/AVEDEV | AVEDEV ]] | *[[Manuals/calci/AVEDEV | AVEDEV ]] | ||
*[[Manuals/calci/AVERAGEA | AVERAGEA ]] | *[[Manuals/calci/AVERAGEA | AVERAGEA ]] | ||
| − | + | *[[Z_API_Functions | List of Main Z Functions]] | |
==References== | ==References== | ||
[http://en.wikipedia.org/wiki/Average| Average] | [http://en.wikipedia.org/wiki/Average| Average] | ||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 05:48, 30 March 2020
AVERAGE()
- Parameters are any set of real numbers.
- AVERAGE(), returns the average of its arguments.
Description
- This function gives the Average for given set numbers.
- Average means sum of all the given elements divided by Number of given elements.
- It is also called Arithmetic mean.
- i.e if numbers are given and each number is denoted by , where to , then
numbers are given and each number is denoted by 
, where 
to = .
= 
.
- In this function,the parameters can either be numbers,arrays,references of cells or we can enter the logical values directly.
- Arithmetic mean is the most common measures of central tendency.
- Central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data.
- The other common measures of central tendency are: Median,& Mode.
- A.M is calculated by adding the given set of numbers and divided by the count of the given set of numbers.
Average of 2,4,2,7,2,3 and 5 is 3.6
- Median: It is the middle number of a sorted list(Ascending order) of numbers.
The median of 2,2,2,3,4,5,7 is 3
- Mode: It is the most frequently repeated number in a given set of numbers.
The mode of 2,2,2,3,4,5 and 7 is 2.
- This function will show the result as Error,
- when the values are error values or text that cannot change in to numbers.
ZOS
- The syntax is to calculate AVERAGE in ZOS is .
- Parameters are any set of real numbers.
- For e.g.,AVERAGE(10..15..0.25)
- AVERAGE(-10..-1)
.
Examples
- AVERAGE( 2, 3, 11, 13, 17, 26, 34, 47) = 19.125
- AVERAGE(5,-2,7,8,11,20,25,-9) = 8.125
- AVG(2cm,200m) = 100.01m
- AVG(3kg,2000g,3000mg) = 1667666.6666666667mg
Related Videos
See Also
References