3)
Following is the distribution of the size of certain farms from a village.
Size of farm (in acres) 5 - 15 15 - 25 25 - 35 35-45 45 - 55 55-65 65-75
No. of farms 7 12 17 25 31 5 3
Find the median size of farm.
Answers
Answered by
2
Step-by-step explanation:
Consider the following table, to calculate median:
ci f
i
cf
5-15 7 7
15-25 12 7+12=19
25-35 17 19+17=36
35-45 25 36+25=61
45-55 31 61+31=92
55-65 5 92+5=97
65-75 3 97+3=100
Median =l+
f
m
(
2
N
−cf)
×c
Here,
Class Interval c=10
N=Σf
i
=100
2
N
=50
⇒ Median class =35−45
⇒Frequency of median class
m
=25
Lower boundary of median class l=35
previous cumulative frequency of median class cf=36
∴ Median =35+
25
(
2
100
−36)
×10
∴ Median =35+
25
(14)
×10
∴ Median =40.60
Hence. option D is correct.
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