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.