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| Daily expenditure(in Rs) | 100-150 | 150-200 | 200-250 | 250-300 | 300-350 |
| Number of households | 4 | 5 | 12 | 2 | 2 |
Answer :
Let us assume the mean (A) = 225, Class size (h) = 50
| Class Interval | Number of households \( ( f_i ) \) | Mid-point \( ( x_i ) \) | \( d_i \ = \ x_i \ - \ A \) | \( u_i \ = \ \frac{d_i}{50} \) | \( f_i u_i \) |
| 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 |
| \( \sum f_i \ = \ 25 \) | \( \sum f_i u_i \ = \ -7 \) |
\( \overline{x} \ = \ A \ + h \frac{ \sum \ f_i u_i}{ \sum f_i} \)
\( = \ 225 \ + \ 50 × \frac{-7}{25} \)
\(= \ 225 \ - \ 14 \ = \ 211 \)
\(\therefore \) The mean daily expenditure on food is 211