Page 209 - DSOC404_METHODOLOGY_OF_SOCIAL_RESEARCH_ENGLISH

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

From the above calculation we can find out the median class-interval i.e. we can find out that class- note
interval in which median resides.
n
Median class-interval = the value of th element
2
294
= = the value of 147 th element
2
the position of the 147 th element is 194 in the cumulative frequency whose class-interval is 400–500.
this is median class-interval. Now we will calculate the median based on this formula-
n − F
Me = L + 2 i ×
f
from the above calculation-

L = Lower limit of median class-interval = 400
n = sum of frequencies = 294
f = frequency of median class-interval = 83
F = the cumulative frequency of previous median
class-interval = 111
i = the difference between the upper and lower limits
of median class-interval = (500 – 400) = 100
294 − 111
Me = 400 + 2 × 100
83
147 111
−
= 400 + × 100
83
36 3600
= 400 + = 400 +
83 83

= 400 + 43.37 = 443.37

therefore, the median of the salary = ` 443.37

Example 11 the above example can also be solved using another famous formula for
calculating median. this formula is only used now-a-days, which is as
follows-

i in 

m = l + (m – c) or Me = l +  − c 
f f  2 
in above formula,
l = Lower limit of median class
t = Class-interval of median class
f = frequency of median class
n
m = median number i.e.
2

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