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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. What is the mean number of plants per house?

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23.4

25.4

22.4

26.4

answer is C.

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Detailed Solution

It is given a group of students in which they collected the number of plants in

30

houses in a locality.
Question Image

We convert the data in terms of the following expression.

x_{i} = \frac{lower limit + upper limit}{2}

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

From the table, we get

Σ f_{i} = 30

Σ f_{i} x_{i} = 672

We know that,
Average =

\frac{Σ f_{i} x_{i}}{Σ f_{i}}

\Rightarrow Average = \frac{672}{30}

\Rightarrow Average = 22.4

Thus, the average of the data is 22.4.
Hence, the correct option is 3.

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