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The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Based on the above information, answer the following questions, then the mean is,

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131

133

135

137

answer is D.

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Detailed Solution

Given table,
Question Image

We know,

Mean = ∑ f i x i ∑ f i

Consider the table,

Monthly Consumption	Class Mark ( $x_{i}$ )	Number of Consumers ( $f_{i}$ )	$f_{i} x_{i}$
65-85	75	4	300
85-105	95	5	475
105-125	115	13	1495
125-145	135	20	2700
145-165	155	14	2170
165-185	175	8	1400
185-205	205	4	820
Total		∑ $f_{i} = 68$	∑ $f_{i} x_{i} = 9360$

Mean = ∑ f i x i ∑ f i ⇒ M e a n = 936068 ⇒ M e a n = 137

Therefore the mean is 137.
Hence, option 4 is correct.

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