Question

The median of 3, 8, 11, 2, 16, 4, 0 and 6 is ______.

Options

• 6

• 9

• 5

• 8

Answer 1

The median of 3, 8, 11, 2, 16, 4, 0 and 6 is 5.

Explanation: 

Arranging the numbers in ascending order, we get:

0, 2, 3, 4, 6, 8, 11, 16.

The number of terms (n) are 8, which is even.

\[\therefore \text{Median} = \frac{\left(\frac{n}{2}\right) \text{ th term} + \left(\frac{n}{2} + 1\right) \text{ th term}}{2}\]

Substituting values we get:

\[\text{Median} = \frac{\left(\frac{8}{2}\right) \text{ th term} + \left(\frac{8}{2} + 1\right) \text{ th term}}{2}\]

\[{} = \frac{4 \text{ th term} + 5 \text{ th term}}{2}\]

\[{} = \frac{4 + 6}{2}\]

\[{} = \frac{10}{2}\]

\[{} = 5\]