Subjects algebra

Weighted Average 239505

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Weighted Average 239505


1. **State the problem:** A student has marks in five subjects: English 73, Urdu 82, Maths 80, History 67, and Science 62. The weights for these subjects are 4, 3, 3, 2, and 2 respectively. We need to find the weighted average mark. 2. **Formula for weighted average:** $$\text{Weighted Average} = \frac{\sum (\text{mark} \times \text{weight})}{\sum \text{weights}}$$ 3. **Calculate the numerator (sum of weighted marks):** $$73 \times 4 = 292$$ $$82 \times 3 = 246$$ $$80 \times 3 = 240$$ $$67 \times 2 = 134$$ $$62 \times 2 = 124$$ Sum these: $$292 + 246 + 240 + 134 + 124 = 1036$$ 4. **Calculate the denominator (sum of weights):** $$4 + 3 + 3 + 2 + 2 = 14$$ 5. **Calculate the weighted average:** $$\frac{1036}{14} = 74$$ 6. **Interpretation:** The appropriate average mark, considering the weights, is 74.