Page 213 - DSOC404_METHODOLOGY_OF_SOCIAL_RESEARCH_ENGLISH

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

Mode of Discrete series note

in a discrete series, mode can be calculated using two techniques:
a. inspection Method
b. Grouping Method
(a) Inspection Method—in this method by having a look at the series, the most commonly occurring
frequency is found. the value of that frequency is mode. this thing will be more clear from the given
below.
By making use of grouping technique, firstly the elements are arranged in a order, then their frequencies
are written in front of them. firstly the frequencies are written in two, then three and then more in
various columns. In this way by distributing it in various groups we can find out which element
example has the highest frequency.

Example 13 find the mode of table given below.

Value of elements frequency
5 1
9 7
13 11
17 5
7 2
11 9
19 4
15 8

As said earlier that firstly we find out the most commonly occurring frequency by looking at the
table. the value of the frequency that will be the highest will be the mode. in the above question, the
frequency of 11 is the highest. therefore, the value of 11 i.e. 13 will be the value of mode.
(b) Grouping Method—Mode can be calculated using grouping method in the following way. But
here one thing is noteworthy that the value of mode will be the same whether it is calculated using
the inspection method or the grouping method. this statement will be clear from the following
calculation-

frequencies
1 2 3 4 5 6
5 1
3 10
7 2
9 18
9 7
16 27
11 9
[20] [28]

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