Manuals/calci/AVEDEV

AVEDEV(n1,n2,n3)

• $n1,n2,n3...$ are any real numbers.

Description

• AVEDEV returns the average of the absolute deviations of data points from their mean.
• Arguments can be numbers, names, arrays, or references.

This function gives the average absolute deviation of a given set of numbers. The Average deviation is calculated in three steps:

1. We have to find the mean ${\bar {x}}$.
2. To find the deviation of each value, subtract all numbers with its mean value.
3. Then find the average deviation, add all the deviation values and divide by the number of given set of numbers.

$AverageDeviation=\sum _{i=1}^{n}{\frac {xi-{\bar {x}}}{n}}$

<math> AVERAGE DEVIATION=SUMMATION(I=1 TO N)xi-x(bar)[mean]/n<math>. Here xi is the observation,x(bar) is the mean and n is the number of given set of observations.Here we have to give more than one arguments and arguments can be either numbers , names,logical values, arrays or cell refercences that contain numbers.This function will give the result as error,when the text couldn't convert in to numbers.

Logical values and text representations of numbers are calculated.

Formula:- The equation to find out the average deviation is:

	Column1	Column2	Column3	Column4
Row1	7	1.75
Row2	6
Row3	9
Row4	3
Row5				0
Row6

Where N1, N 2 ...   are positive integers. =AVEDEV (B2:B5) is 1.75