Question

Calculate the weighted mean of the following data:

Items	96	102	104	124	148	164
Weight	5	6	3	7	12	9

Answer 1

Items (X)	Weight (W)	WX
96 102 104 124 148 164	5 6 3 7 12 9	480 612 312 868 1776 1476
	∑W = 42	∑WX = 5524

$$\begin{gathered} X_W=\frac{\Sigma WX}{\Sigma X} \\ =\frac{5524}{42}=131.52 \end{gathered}$$
Hence, the weighted mean is 131.52