Page 218 - DSOC404_METHODOLOGY_OF_SOCIAL_RESEARCH_ENGLISH

Methodology of Social Research

note (B) Calculation of mode through grouping method.
pair of two Pair of Three
Marks no. of students (two times) (Three Times) analysis
obtained
(f) (1) (2) (3) (4) (5) (6) (7)
0–10 5 i = 1
9
10–20 4 (f ) 17 ii =2
1
12
20–30 8 (f) 18 =5
14
30–40 6 (f ) 8 16 iii = 3
2

40–50 2 8 4 i = 1
50–60 6 15 i = 1
60–70 7 13
70–80 2 15 i = 1

in the above table the frequency of 8 is 5 which is the highest. therefore, we will use the given formula
to calculate its real value (which is in class-interval 20–30)
f − f
MoL = L + 1 i ×
2 f − f − 1 f 2
84
−
Mo = 20 + × 10
82 4 6
× − −
4
Mo = 20 + 16 4 6 × 10
−−
40
Mo = 20 +
6
Mo = 20 + 6.67
(Mo) = 26.67
therefore, the mode is 26.67

Notes for grouping we will use the same rule that was applied in the grouping of discrete
series. it must also be remembered that the answer obtained for calculation of mode
from both the techniques that is inspection techniques and grouping technique
must be same.

Merits of Mode

1. Mode is the highest representative value of the series because mode is the value of the element
that has the highest frequency in the series.

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