The median of the given data: $\frac{1}{2}, \frac{2}{7}, \frac{3}{4}, \frac{1}{3}, \frac{5}{8}$ is:

$\frac{3}{4}$ $\frac{2}{7}$ $\frac{1}{3}$ $\frac{1}{2}$

$\frac{1}{2}$

After arranging them in ascending order, we get $\frac{2}{7}, \frac{1}{3}, \frac{1}{2}, \frac{5}{8}, \frac{3}{4}$ Since the median of data is the middlemost value of the data ∴ The required media is $\frac{1}{2}$