Question

6. Number of persons living in a house is reported to be as under for 500 houses in a village. Find the
median number of persons in a house in the village.
Number of Persons in a House
1
2
3
4
5
6
7

8
9
10
26
113
120
Number of Houses
95
60
42
21
14
5
4​

Answer 1

Answer:

No. of plants  No. of houses (f  

i

​  

)  Mid point (X  

i

​  

)  f  

i

​  

x  

i

​  

 

0−2   1   1    1

2−4   2   3   6

4−6   1   5   5

6−8   5   7   35

8−10   6   9   54

10−12   2   11   22

12−14   3   13   39

Total   20      162

Calculating mean, we get

Mean,  

x

ˉ

=  

n

1

​  

∑f  

i

​  

x  

i

​  

 

Here, n=20,∑f  

i

​  

x  

i

​  

=162

Therefore, Mean,  

x

ˉ

=  

20

162

​  

=8.1 plants

We have used direct method because numerical values of f and x are small.

Explanation: