Question

A Candidate obtained the following percentage following of marks in an examination: English 60; Business Studies 75; Maths 63; Accounts 59; Economics 55. Find the candidate's weighted arithmetic mean, if weights 1, 2, 1, 3, 3 respectively are allotted to the subjects

Answer 1

The information given in the question can be presented as follows:

Subject	Marks (X)	Weights (W)	WX
English Business studies Maths Accounts Economics	60 75 63 59 55	1 2 1 3 3	60 150 63 177 165
		$\mathit{\Sigma }\mathit{W}$=10	$\mathit{\Sigma }\mathit{W}\mathit{X}$=615

$$\begin{gathered} {\overline{\mathrm{X}}}_w=\frac{\Sigma WX}{\Sigma W} \\ or,{\overline{\mathrm{X}}}_w=\frac{615}{10} \\ \Rightarrow {\overline{\mathrm{X}}}_w=61.5\mathrm{Marks} \end{gathered}$$

Hence, the weighted arithmetic mean is 61.5 marks