Question

30). Find the median of the following data:
Class 0-10 10-20 20-30
Frequency 5 10 20 7 8 5​

Answer 1

Answer:

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Answer 2

ANSWER

C.I. mid point

(m) frequency

(f) (m-25)/10

(d) fd c.f.

0-10 5 12 -2 -24 12

10-20 15 13 -1 -13 25

20-30 25 25 0 0 50

30-40 35 20 1 20 70

40-50 45 10 2 20 80

n=80 ∑fd=3

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=20

2

n

​

=40

c.f.=25

f=25

i=10

Therefore, median=20+

25

40−25

​

×10=20+6=26