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

6.  The table below shows the daily expenditure on food of 25 households in a locality.
      6
 Find the mean daily expenditure on food by a suitable method.

Answers (1)

best_answer

Let the assumed mean be a = 225 and h = 50

Daily

Expenditure  

Number of

households f_i

Class mark

x_i

 d_i = x_i -a u_i = \frac{d_i}{h} f_iu_i
100-150 4 125 -100 -2 -8
150-200 5 175 -50 -1 -5
200-250 12 225 0 0 0
250-300 2 275 50 1 2
300-350 2 325 100 2 4
 

\sum f_i

=25

      

\sum f_ix_i

= -7

Mean, 

\overline x =a + \frac{\sum f_iu_i}{\sum f_i}\times h 
= 225 + \frac{-7}{25}\times50 = 225 -14 = 211
Therefore, the mean daily expenditure on food is Rs. 211

Posted by

HARSH KANKARIA

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