Difference between revisions of "Manuals/calci/AVERAGE"

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<div style="font-size:30px">'''AVERAGE(n1,n2,n3)'''</div><br/>
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<div style="font-size:30px">'''AVERAGE()'''</div><br/>
  
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*Where <math>n1,n2,n3...</math> are any real numbers.  
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*Parameters are any set of real numbers.
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**AVERAGE(), returns the average of its arguments.
  
 
==Description==
 
==Description==
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*This function gives the Average for given set numbers.  
 
*This function gives the Average for given set numbers.  
 
*Average means sum of all the given elements divided by Number of given elements.
 
*Average means sum of all the given elements divided by Number of given elements.
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*It is also called Arithmetic mean. i.e if <math>n</math> numbers are given and each number is denoted by ai, where <math>i=1</math> to <math>n</math>, then <math>A.M=\frac{1}{n}\sum_{i=1}^n ai</math>= 1/n(a1+a2+.....+an).  
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*It is also called Arithmetic mean.  
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*In this function N1,N2,... are either it can be numbers,arrays ,references of cells or  
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*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  
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*we can enter the logical values directly. This function will show .the result as Error ,
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<math>A.M=\frac{1}{n}\sum_{i=1}^n a_i</math> = <math>\frac{1}{n}(a_1+a_2+.....+a_n)</math>.  
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*when the numbers are error values or text that cannot change in to numbers.  
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*In this function,the parameters can either be numbers,arrays,references of cells or we can enter the logical values directly.
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*Also if the distribution is symmetric, then we can use this function to find the central tendency.  
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*Arithmetic mean is the most common measures of central tendency.
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*The three most common measures of central tendency are: A.M, Median,& Mode.A.M: 
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*Central tendency  is a single value that attempts to describe a set of data by identifying the central position within that set of data.  
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*It is calculating by adding the given set of numbers and divided by the count of the given set of numbers. *E.g:Average of 2,4,2,7,2,3 and 5 is 3.6
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*The other common measures of central tendency are: Median,& Mode.
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*Median: It is the middle number of a sorted list(Ascending order) of numbers.  
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*A.M is calculated by adding the given set of numbers and divided by the count of the given set of numbers.  
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*E.g:The median of 2,2,2,3,4,5,7 is 3
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Average of 2,4,2,7,2,3 and 5 is 3.6
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*Median: It is the middle number of a sorted list(Ascending order) of numbers.
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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.  
 
*Mode: It is the most frequently  repeated number in a given set of numbers.  
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*E.g.The mode of 2,2,2,3,4,5 and 7 is 2
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The mode of 2,2,2,3,4,5 and 7 is 2.
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*This function will show the result as Error,
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#when the values are error values or text that cannot change in to numbers.
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==ZOS==
  
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<math>\sum_{k=1}^N k^2</math>
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*The syntax is to calculate AVERAGE in ZOS is <math>AVERAGE()</math>.
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**Parameters are any set of real numbers.
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*For e.g.,AVERAGE(10..15..0.25)
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*AVERAGE(-10..-1)
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{{#ev:youtube|zjVqIBXC4Q4|280|center|Average}}
  
 
==Examples==
 
==Examples==
  
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*AVERAGE( 2, 3, 11, 13, 17, 26, 34, 47)=19.125
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*AVERAGE( 2, 3, 11, 13, 17, 26, 34, 47) = 19.125
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*AVERAGE(5,-2,7,8,11,20,25,-9) = 8.125
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*AVG(2cm,200m) = 100.01m
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*AVG(3kg,2000g,3000mg) = 1667666.6666666667mg
  
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*AVERAGE(5,-2,7,8,11,20,25,-9)=8.125
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==Related Videos==
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{{#ev:youtube|9VZsMY15xeU|280|center|Average}}
  
 
==See Also==
 
==See Also==
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*[[Manuals/calci/AVEDEV  | AVEDEV ]]
 
*[[Manuals/calci/AVEDEV  | AVEDEV ]]
 
*[[Manuals/calci/AVERAGEA  | AVERAGEA ]]
 
*[[Manuals/calci/AVERAGEA  | AVERAGEA ]]
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*[[Z_API_Functions | List of Main Z Functions]]
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==References==
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[http://en.wikipedia.org/wiki/Average| Average]
  
  
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==References==
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[http://en.wikipedia.org/wiki/Complex_number| Complex Numbers]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |   Z3 home ]]

Latest revision as of 04:48, 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

= .

  • 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,
  1. 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)
Average

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

Average

See Also

References

Average


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