Question

The median of the observations 50 , 54 , 56 , 58 , (2x + 1) , 66 , 72 , 74 , 78 arranged in ascending order is 63. Find the value of x

• A. 30
• B. 62
• C. 31
• D. 29

Answer 1

The correct option is C

31

Number of terms (n) = 9

Median = $(\frac{n+1}{2}{)}^{th}$ Observation

= $\frac{9+1}{2}$ = $5^{th}$ Observation

= 2x + 1

Median is given as 63

$\Rightarrow$ 2x + 1 = 63

$\Rightarrow$ 2x = 63 - 1 = 62

$\Rightarrow$ x = $\frac{62}{2}$ = 31