# A candidate obtains 46% marks in English, 67% in mathematics, 53% in Hindi, 72 % in History and 58% in Economics. It is agreed to give triple weights to marks in English and double weights to marks in Mathematics as compared to other subjects. Calculate weighted mean.

Let us assume that the weight of other subjects , that is , hindi , history and economics is 1 . Hence weight for english = $1\times 3=3$ and weight for mathematics = $1\times 2=2$

Subject | Marks Obtained(X) | Weight(W) | WX |

English Maths Hindi History Economics |
46 67 53 72 58 |
3 2 1 1 1 |
138 134 53 72 58 |

TOTAL | $\sum _{}^{}W$ = 8 | $\sum _{}WX=455$ |

Weighted Arithmetic Mean = $\frac{{\displaystyle \sum _{}}WX}{{\displaystyle \sum _{}}W}=\frac{455}{8}=56.875$

Regards .

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