The following table shows the number of children in each house of a society.Number of Children (x)Number of Houses (f)0311021233What is the average number of children per house?

To find the average number of children per house, we use the formula for the weighted mean:
$$\text{Mean}=\frac{\sum (f\cdot x)}{\sum f}$$
Let's calculate the total number of children ($\sum fx$):
$$\sum fx=(0\times 3)+(1\times 10)+(2\times 12)+(3\times 3)$$
$$\sum fx=0+10+24+9=43$$
Let's calculate the total number of houses ($\sum f$):
$$\sum f=3+10+12+3=28$$
Now, calculate the average:
$$\text{Average}=\frac{43}{28}\approx 1.5357\approx 1.54$$