The median of 0, 2, 2, 2, -3, 5, -1, 5, 5, -3, 6, 6, 5, 6 is :

1. -1.5

2. 0

3. 2

4. 3.5

Given,

Set of observations = 0, 2, 2, 2, -3, 5, -1, 5, 5, -3, 6, 6, 5, 6

Arranging the numbers in ascending order :

-3, -3, -1, 0, 2, 2, 2, 5, 5, 5, 5, 6, 6, 6.

Here n = 14, which is even.

By formula,

Median = $\dfrac{\dfrac{\text{n}}{2} \text{ th observation} + \Big(\dfrac{\text{n}}{2} + 1\Big) \text{ th observation}}{2}$

$= \dfrac{\dfrac{14}{2} \text{ th observation} + \Big(\dfrac{14}{2} + 1\Big) \text{ th observation}}{2} \\[1em] = \dfrac{7 \text{ th observation} + \Big(7 + 1\Big) \text{ th observation}}{2} \\[1em] = \dfrac{7 \text{ th observation} + 8 \text{ th observation}}{2} \\[1em] = \dfrac{2 + 5}{2} \\[1em] = \dfrac{7}{2} \\[1em] = 3.5$

Hence, Option 4 is the correct option.