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.

Number of plants
$0 - 2$
$2 - 4$
$4 - 6$
$6 - 8$
$8 - 10$
$10 - 12$
$12 - 14$
Number of houses
$1$
$2$
$1$
$5$
$6$
$2$
$3$

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

Question

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.

Number of plants	$0 - 2$	$2 - 4$	$4 - 6$	$6 - 8$	$8 - 10$	$10 - 12$	$12 - 14$
Number of houses	$1$	$2$	$1$	$5$	$6$	$2$	$3$

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

Filo · Accepted Answer

No. of plants No. of houses (fi​) Mid point (Xi​) fi​xi​ 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    162Calculating mean, we getMean, xˉ=n1​∑fi​xi​Here, n=20,∑fi​xi​=162Therefore, Mean, xˉ=20162​=8.1 plantsWe have used direct method because numerical values of f and x are small.

Question Text	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. Which method did you use for finding the mean, and why?
Answer Type	Text solution:1
Upvotes	150

Text solutionVerified

Practice questions from similar books

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	$20$		$162$