The table below shows the daily expenditure on food of 25 household in a locality.

Daily Exp. (in Rs.)

100-150

150-200

200-250

250-300

300-350

No. of house hold

4

5

12

2

2

Find the mean daily expenditure on food by a suitable method.

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Solution

Here.

We have

sum from blank to blank of f subscript i equals 25 comma space space space sum from blank to blank of f subscript i u subscript i equals negative 7 comma space

A (assumed mean) = 225 and h = 50
Now,

top enclose straight x equals space A plus fraction numerator begin display style sum from blank to blank of end style f subscript i u subscript i over denominator begin display style sum from blank to blank of end style f subscript i end fraction x h equals 225 plus fraction numerator negative 7 over denominator 25 end fraction x 50 equals 225 minus 14 equals 211

Hence, the mean daily expenses is 211.

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Daily Exp. (in Rs.)	100-150	150-200	200-250	250-300	300-350
No. of house hold	4	5	12	2	2