Mean Deviation, Formulas: Deviations taken from Median OR Mean, Coefficient, Merits and Demerits

🚩Timestamps:-

00:08 Session Agenda

00:43 Mean Deviation

02:55 Steps in Calculation of mean deviation

06:18 FORMULAS: Deviations taken from Median OR Mean

09:56 COEFFICIENT OF MEAN DEVIATION

11:42 MERITS AND DEMERITS OF MEAN DEVIATION

17:09 Concluding Remarks

Learning Outcomes:-

Through this module, you will gain understanding on:-

1. Mean Deviation
2. Steps in Calculation of mean deviation
3. COEFFICIENT OF MEAN DEVIATION
4. MERITS AND DEMERITS OF MEAN DEVIATION

Mean Deviation

·         Mean Deviation is the Arithmetic Average of deviations of all the values taken from a statistical average (mean, median, or mode) of series.

·         In taking deviation of values, algebraic signs + and - are not taken into consideration, that is negative deviations are also treated as positive deviations. (ignoring signs)

 

Calculation of mean deviation involves the following steps:

(1) We first of all find out mean, median or mode of a series.

(2) As a second step, we find out the deviations of different items from the central value (mean, median or mode) of the series. These deviations are added up. While adding up these deviations positive (+) and negative (-) signs are ignored. All deviations are treated as positive.

(3) On both sides of the deviation, from the mean, are drawn two straight lines signifying that while calculating deviation negative signs have been ignored and all deviations have been treated as positive.

(4) Mean deviation is known by dividing the sum total of the deviation by the number of items.

*Note: Deviations are often found from median value of the series. Many a time mean is also used, but the use of Modal value is rarely made.

 

FORMULAS –

COEFFICIENT OF MEAN DEVIATION

In order to find out coefficient of mean deviation, mean deviation of the series is divided by the central tendency of the series.

What is the Principal Drawback of Mean Deviation as a Measure of Dispersion?

It is that all deviations from the average value of the series are taken as positive, even when some of these are actually negative.

 

MERITS AND DEMERITS OF MEAN DEVIATION

Merits

(1) Simple: It is a very simple and easy measure of dispersion.

(2) Based on all Values: Mean deviation is based on all the items of the  series. It is therefore more representative than the range or quartile deviation.

(3) Less Effect of Extreme Values: Mean deviation is less affected by  extreme values than the range.

 

Demerits

What is the Principal Drawback of Mean Deviation as a Measure of Dispersion?

It is that all deviations from the average value of the series are taken as positive, even when some of these are actually negative.

(1) Inaccuracy: Calculation of mean deviation suffers from inaccuracy because the + or - signs are ignored.

(2) Not Capable of Algebraic Treatment: Mean deviation is not capable of any further algebraic treatment.

(3) Unreliable: In case deviations are taken from mode and mode being uncertain, mean deviation also becomes uncertain and therefore, unreliable.

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Mean Deviation, Formulas: Deviations taken from Median OR Mean, Coefficient, Merits and Demerits | Measures of Dispersion | 11th Commerce | by @statomics11comm

 

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