Question

For a month, a family requires the commodities listed in the table below. The weights to each commodity is given. Find the Weighted Arithmetic Mean.

Commodity	Weight (in kg)	Price per kg(in Rupees)
Rice	$25$	$30$
Wheat	$5$	$20$
Pulses	$4$	$60$
Vegetables	$8$	$25$
Oil	$3$	$65$

Answer 1

Commodity	Weight$\left(w\right)$(in kg)	Price per Kg$\left(x\right)$ (in rupees)	$xw$
Rice	25	30	750
Wheat	5	20	100
Pulses	4	60	240
Vegetables	8	25	200
Oil	3	65	195

Now, $\sum w=45$ and $\sum xw=1485$

Then, weighted arithmetic mean $=\frac{\Sigma xw}{\Sigma w}=\frac{1485}{45}=33$