(Q14). The table below shows the daily expenditure on food of 25 households in a locality.

Daily Expenditure(₹) 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.

Solution :

Daily Expenditure(₹) Number of households(fi) xi ui =
xi - a
h

h = 50
fiui
100-150 4 125 a 0
150-200 5 175 1
200-250 12 225 2
250-300 2 275 3
300-350 2 325 4
- ∑fi = 25 - - ∑fiui =

Here a = 125, h = 50, ∑fiui =

Now,

x̄ = a +
∑fiui
∑fi
× h
x̄ = 125 +
25
× 50 =