Question

Find the median from the following distribution
Marks 10-25 25 401 40 55 55 70 70-85 285-100
frequency 6 20 44 26 3 1​

Answer 1

Calculate the median in the following frequency distribution

Wages 50-60 60-70 70-80 80-90 90-100

No. of labourers 5 10 15 20 25

MEDIUM

ANSWER

Wages mid point

(m) frequency

(f) (m-75)/10

(d) fd c.f.

50-60 55 5 -2 -10 5

60-70 65 10 -1 -10 15

70-80 75 15 0 0 30

80-90 85 20 1 20 50

90-100 95 25 2 50 75

n=75 ∑fd=50

Median is given by L+

f

2

n

−c.f.

×i

where L is the lower limit of the median class. (median class is the class where

2

n

th

term is lying)

c.f. is the cumulative frequency of the class preceding the median class

f is the frequency of the median class

i is the class interval of the median class.

From the above table,

L=70

2

n

=37.5

c.f.=15

f=15

i=10

Therefore, median=70+

15

37.5−15

×10=70+15=85

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