Question

If the median of the data 4, 7, x − 1, x − 3, 16, 25, written in ascending order, is 13 then x is equal to

(a) 13
(b) 14
(c) 15
(d) 16

Answer 1

​Median of 6 numbers is the average of 3rd and 4th term.

$$\begin{gathered} \therefore 13=\frac{\left(x-1\right)+\left(x-3\right)}{2} \\ \Rightarrow 26=2x-4 \\ \Rightarrow 2x=30 \\ \Rightarrow x=15 \end{gathered}$$

Thus, x is equal to 15.

Hence, the correct answer is option (c).