JAMB Mathematics 2016 Paper

Concept:The total mark is the sum of each mark multiplied by its frequency.Explanation:From the table, marks are $2$, $3$, and $4$. Their corresponding frequencies are $4$, $4$, and $y$. Total mark $= (2 \times 4) + (3 \times 4) + (4 \times y)$. Simplifying the known parts: $(2 \times 4) + (3 \times 4) = 8 + 12 = 20$. Therefore, total mark $= 20 + 4y$. The total mark is given as $48$. So, $20 + 4y = 48$. Subtract $20$ from both sides: $4y = 28$. Divide both sides by $4$: $y = \frac{28}{4} = 7$.Answer:The value of $y$ is $7$, which is option C.