Page 202 - DSOC404_METHODOLOGY_OF_SOCIAL_RESEARCH_ENGLISH

Methodology of Social Research

note
Example 6 Keeping in mind example 5, find the arithmetic average by short-cut
method.

solution: to solve this question by above technique we need to present this table as follows-
table 27.4
Wages number of Mean of class Deviation of mean Multiplication
(in `) workers intervals of wages (x) from assumed of deviation and
(f) (x) mean (A = 75) numbers of workers
(x – A = d ) (fd)
 50 60  +
50–60 8   = 55 (55 – 75) = – 20 8 × –20 = –160
 2 

 60 70  +
60–70 10   = 65 (65 – 75) = – 10 10 × –10 = –100
 2 
 70 80  +
70–80 16   = 75A (75 – 75) = + 0 16 × 0 = 0
 2 
 80 90  +
80–90 14   = 85 (85 – 75) = + 10 14 × 10 = + 140
 2 

 + 100  90
90–100 10   = 95 (95 – 75) = + 20 10 × 20 = + 200
 2 
 + 110  100
100–110 5   = 105 (105 – 75) = + 30 5 × 30 = + 150
 2 
 + 120  110
110–120 2   = 115 (115 – 75) = + 40 2 × 40 = + 80
 2 
S means S fd = (+ 570 – 260)
n = 65 = 310

formula for calculating arithmetic average using short-cut method or step deviation method
S f d S f d
M = A + or A +
S f S n
Here assumed mean A = 75
S f d = +310
Sf or n = 65 (Number of workers)
310
\ M = 75 +
65
= 75 + 4.77
= 79.77
therefore, average weekly wages = ` 79.77.

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