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?

Given:

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

To do:

We have to find the mean number of plants per house.

Solution:

Let the assumed mean be $A=7$

 We know that,
Mean $=A+h \times \frac{\sum{f_iu_i}}{\sum{f_i}}$    

Therefore,  

Mean $=7+2\times\frac{11}{20}$

$=7+\frac{11}{10}$

$=7+1.1$

$=8.1$

The mean number of plants per house is $8.1$. We used this method as it is easier to calculate $f_iu_i$.

Tutorialspoint

Updated on: 10-Oct-2022

247 Views

Kickstart Your Career

Get certified by completing the course

Get Started