MCQ
The median of first $10$ prime numbers is :
  • A
    $11$
  • $12$
  • C
    $13$
  • D
    $14$

Answer

Correct option: B.
$12$
First $10$ prime numbers are $\{2, 3, 5, 7, 11, 13, 17, 19, 23, 29\}$
Here $n = 10$
$\therefore\text{Median}=\frac{1}{2}\Big[\frac{\text{n}}{2}\text{th}+\Big(\frac{\text{n}}{2}+1\Big)\text{th}\Big]\text{term}$
$=\frac{1}{2}\Big[\frac{10}{2}\text{th}+\Big(\frac{10}{2}+1\Big)\text{th}\Big]\text{term}$
$=\frac{1}{2}[5\text{th}+6\text{th}]\text{term}$
$=\frac{1}{2}[11+13]=\frac{1}{2}\times24=12$

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