BECE Mathematics 2021 Paper

Concept:For an even number of observations, the median is the average of the two middle values when the data is arranged in ascending order.Explanation:The given numbers are $9, 10, 12, x, 20, 25$.When arranged in ascending order, the middle two numbers are $12$ and $x$.So, the median is $\frac{12 + x}{2}$.Given that the median is $14$, we write:$$\frac{12 + x}{2} = 14$$Multiply both sides by $2$:$$12 + x = 28$$Solve for $x$:$$x = 28 - 12 = 16$$Answer:$x = 16$, which is option B.