Question

# The table below shows the daily expenditure on food of 25 household in a locality Daily expenditure (in Rs): 100−150 150−200 200−250 250−300 300−350 Number of households: 4 5 12 2 2 Find the mean daily expenditure on food by a suitable method.

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Solution

## Let the assumed mean a = 225 and h = 50. Daily expenditure (in Rs) fi xi di = xi − 225 fiui 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 Total $\sum _{}{f}_{i}=$25 $\sum _{}{f}_{i}{u}_{i}=$− 7 Now, Therefore, mean daily expenditure on food is Rs 211.

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