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

Median is the middle term when the given data is arranged in ascending order from left to right.

Here the given data is in fraction. So first we need to take the LCM of the denominator.

LCM of (2, 7, 4, 3, 8) = 168
$$\frac{1}{2} = \frac{84}{168}$$

$$\frac{2}{7} = \frac{48}{168}$$

$$\frac{3}{4} = \frac{126}{168}$$

$$\frac{1}{3} = \frac{56}{168}$$

$$\frac{5}{8} = \frac{105}{168}$$

Now arrange the given data in ascending order.

$$\frac{48}{168}$$, $$\frac{56}{168}$$, $$\frac{84}{168}$$, $$\frac{105}{168}$$, $$\frac{126}{168}$$

So medium = 3rd term = $$\frac{84}{168}$$

= $$\frac{1}{2}$$