Question

The median of first six prime numbers is ______.

Options

• 5

• 7

• 6

• 7.5

Answer 1

The median of first six prime numbers is 6.

Explanation:

Prime numbers : 2, 3, 5, 7, 11, 13.

No. of terms (n) = 6, which is even.

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

Substituting values we get :

\[\text{Median} = \frac{\left(\frac{6}{2}\right) \text{ th term} + \left(\frac{6}{2} + 1\right) \text{ th term}}{2}\]

\[{} = \frac{3\text{rd term} + 4\text{th term}}{2}\]

\[{} = \frac{5 + 7}{2}\]

\[{} = \frac{12}{2}\]

= 6