Mean deviation, Applied Statistics

First Moment of Dispersion or Mean Deviation

Mean deviation or the average deviation is the measure if dispersion which   is based upon all the items in a variable .It is the arithmetic mean of the deviations of the values from a measure of central tendency   In the words of Clark and schkade average deviation is the average amount of scatter of items distribution from either mean or the median ignoring sings of the deviations.

Thus it is a measure obtained by calculating the absolute deviations of each observation from the media or the mean, taking all deviations as positive, and then averaging these decimations by taking their arithmetic mean. Mean deviation from arithmetic mean is also called first moment of dispersion.

The following process is adopted for its calculation:

(1)   Choice of Average : Theoretically mean deviation may be computed from any average mean or median or mode but in practice median and mean   are popular, of the two the use of median is better since sum of the deviations of observations is the least from median, as such unless specifically    nothing is given in the question median should be used.

(2)   Ignoring sings:  In its computation the algebraic sings of the deviations are ignored i.e. all the deviations are taken as positive. To indicate deviations are absolute and sings are ignored.

(3)   Mean of the Deviations:  The total of sum of the deviations is divided by the number of items, the quotient or the result is the mean deviation.

(4)   Formula: Mean deviation is expressed by the greek letter small delta as such.

(5)   Mean deviation from Mean

(6)   Mean deviation from Median

(7)   Mean deviation from Mode

Coefficient of Mean Deviation: The purpose of comparing variations or dispersal between two or more different sets of data a relative measure is computed using the following formula .

Coefficient of mean deviation from mean =x/x

Coefficient of mean deviation from median=m/m

Coefficient of mean deviation from mode= z/z

Posted Date: 9/26/2012 7:37:44 AM | Location : United States

Related Discussions:- Mean deviation, Assignment Help, Ask Question on Mean deviation, Get Answer, Expert's Help, Mean deviation Discussions

Write discussion on Mean deviation
Your posts are moderated
Related Questions
For each of the following scenarios, explain how graph theory could be used to model the problem described and what a solution to the problem corresponds to in your graph model.

#quesgraphical representation of data

First we look at these charts assuming that we know both the mean and the standard deviation of the process, that is  μ and  σ . These values represent the acceptable values (bench

The Null Hypothesis - H0: β0 = 0, H0: β 1 = 0, H0: β 2 = 0, Β i = 0 The Alternative Hypothesis - H1: β0 ≠ 0, H0: β 1 ≠ 0, H0: β 2 ≠ 0, Β i ≠ 0      i =0, 1, 2, 3

This question has two parts with multiple items to answer. You are a psychologist who has collected the subjective well-being scores of a number of elderly people aged 90 or abo

Agreement The degree to which different observers, raters or diagnostic the tests agree on the binary classification. Measures of agreement like that of the kappa coefficient qu

Admissibility A very common concept which is applicable to any procedure of the statistical inference. The underlying notion is that the procedure/method is admissible if and o

Scenario: To fundraise for middle school camp the year 3 and 4 syndicate designed and produced chocolate treats to sell to the year 1 and 2, and year 5 and 6 students at morning te

Cartogram or Mapograph:   Statistical maps are also used to represent data like density of population indifferent states in the country or different countries in the world or th

Case Problem: A Bipartisan Agenda for Change In a study conducted by Zogby International, more than 700 New Yorkers were polled to determine whether the New York state government w