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The daily expenses of 40 families have been shown by the following frequency distribution.

Class
0-100
100-200
200-300
300-400
400-500
Frequency
6
9
15
12
8

The mean daily expenses are

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263

264

265

262

answer is B.

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Detailed Solution

Given:

Class	0-100	100-200	200-300	300-400	400-500
Frequency	6	9	15	12	8

Formula:

M e a n = ∑ f i x i ∑ f i

, where f is the frequency and x is the mid value of the class.
We have to find mean; the frequency distribution table will be:

Class interval	Frequency, $f_{i}$	Mid-value, $x_{i}$	$f_{i} x_{i}$
0-100	6	50	300
100-200	9	150	1350
200-300	15	250	3750
300-400	12	350	4200
400-500	8	450	3600
	Σ $f_{i}$ =50		Σ $f_{i} x_{i}$ =13200

To calculate the mean, we apply formula:

M e a n = 1320050 = 264

Hence, the mean of the given data is 264, so the correct option is 2.

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