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1. A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.

     1

 Which method did you use for finding the mean, and why?

    

Answers (1)

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Number of plants

 

Number of houses    

f_i

Class mark

x_i

f_ix_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
 

\sum f_i 

=20

 

\sum f_ix_i

=162

Mean, 

\overline x = \frac{\sum f_ix_i}{\sum f_i}
= \frac{162}{20} = 8.1
We used the direct method in this as the values of x_i\ and\ f_i are small. 

Posted by

HARSH KANKARIA

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