A survey was conducted by a group of students in which they collected the following data regarding the number of plants in $30$ houses in a locality. Find the mean number of plants per house.

23.4

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25.4

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22.4

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26.4

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Solution

The correct option is C $22.4$
Given:-
Total no. of houses $, Σ f_{i} = 30$
Representing the data in frequency distribution table

No. of plants No. of houses
$(f_{i})$ Classmark
$(x_{i})$ $f_{i} x_{i}$
$0 - 6$ $4$ $3$ $12$
$6 - 12$ $6$ $9$ $54$
$12 - 18$ $1$ $15$ $15$
$18 - 24$ $3$ $21$ $63$
$24 - 30$ $5$ $27$ $135$
$30 - 36$ $6$ $33$ $198$
$36 - 42$ $5$ $39$ $195$
$Σ f_{i} = 30$ $Σ f_{i} x_{i} = 672$
$∴ m e a n = \frac{Σ f_{i} x_{i}}{Σ f_{i}} = \frac{672}{30} = 22.4$

Hence, the mean no. of plants per house $= 22.4$

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No. of plants	No. of houses $(f_{i})$	Classmark $(x_{i})$	$f_{i} x_{i}$
$0 - 6$	$4$	$3$	$12$
$6 - 12$	$6$	$9$	$54$
$12 - 18$	$1$	$15$	$15$
$18 - 24$	$3$	$21$	$63$
$24 - 30$	$5$	$27$	$135$
$30 - 36$	$6$	$33$	$198$
$36 - 42$	$5$	$39$	$195$
	$Σ f_{i} = 30$		$Σ f_{i} x_{i} = 672$

A survey was conducted by a group of students in which they collected the following data regarding the number of plants in 30 houses in a locality. Find the mean number of plants per house.

A survey was conducted by a group of students in which they collected the following data regarding the number of plants in $30$ houses in a locality. Find the mean number of plants per house.