Page 210 - DSOC404_METHODOLOGY_OF_SOCIAL_RESEARCH_ENGLISH

Methodology of Social Research

note c = remember that the cumulative frequency previous
n
to the median class-interval is calculated using 2
n + 1
instead of .
2
solution: Now we will solve this using the above formula-
Number of persons
income (in `) frequency
(frequency)
100–200 15 15
200–300 33 48
300–400 63 111
400–500 83 194
500–600 100 294
n = 294
n
Median, Class-interval = th value
2
294
= = 147th value
2
i.e. value of 147th element.
the position of this 147th element is 194 in the cumulative frequency 400 – 500. this will only be
median class. Now we will calculate the median using the above formula as shown below-
i
−
Me = l + f (m c )
Where l = 400 (Lower limit of median class)
i = 100 (Difference between the upper and lower
limits of class)
(500 – 400 = 100)
f = 83 (frequency of median class)
n
m = 147 (Median number )
2
c = 111 (Cumulative frequency before the median class)
100
Me = 400 + (147 111− )
83
100 3600
= 400 + × 36 = 400 +
83 83
= 400 + 43.37 = 443.37
therefore the median of the salary = ` 443.37

Merits of Median
some of the merits of median are written below-
1. Median can be easily calculated and also it is easy to understand this. By arranging the
elements in an order we can easily find out the median because it is situated in between.

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