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Unit-27: Measures of Central Tendency: Mean, Median, Mode

2. its meaning can be understood easily, mode is that value that appears the highest in the note
series.
3. Mode can be calculated easily, swiftly and practically.
4. one noteworthy characterestic of mode is that there is no effect of very big or very small
value element because mode is that value which appears the highest number of limes in
the series.
5. Mode can be calculated without finding the value of smallest and highest elements with the
condition that those elements are not of mode class.
6. Mode can be easily calculated with the help of graph.
7. Mode is very useful for manufacturers who produce in a large scale because on the basis
of mode they analyze the size of production. For example, in the market we usually find
the size of those shoes which fit into the legs of most of the people. If any person has an
exceptionally big size feet than he does not get a shoe of his size in the market. this thing
also applies to readymade clothes.

Demerits of Mode

1. Algebra cannot be used in mode because its calculation is based on frequencies.
2. Mode disregards the highest and lowest value elements and resultantly we cannot estimate
anything about them.
3. Sometimes we cannot find the definite value of mode easily. There is difficulty in situations
where there are more than one mode in a series.
4. Mode does not represent all the elements of a series but it only represents the highest
frequency elements. for example, in 100 students 5 students have 3 marks whereas all other
students have different marks but more than 3. in that situation mode will be 3 which will
only represent 5 students and leave 95 students.
from the above discussion it is clear that mean, median, and mode, are the representative of those
numbers which define the condition between various facts and point towards the mean trend amongst
them. When we cannot find out the result between various facts than in that condition the trend
towards mean acts as a guiding path, refrains us from getting deviated from the result and saves us
from illusionary and unscientific facts. Only a scientist can know the importance of this for a scientific
research.

27.11 summary

y Average is a number that represents complete series and manifests the central value which is
situated in the centre of the maximum and minimum value of those series.
y the following types of averages: (a) Average of Position—Mode, Median (b) Mathematical
Averages—Arithmetic Average and Mean, Geometric Mean, Harmonic Mean, Quadratic Mean
(c) other of Business Averages—Moving Average, Progressive Average.
y Arithmetic mean is obtained by dividing the sum of values of a variable by the number of
variables.
y Median is that point which divides a given series into two equal parts.
y in any series, the value that appears the most is called as the mode.

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