Question

If $17$ observations are arranged on ascending order, then median is ........... observation.

• A. $7$th
• B. $8$th
• C. $9$th
• D. $10$th

Answer 1

Answer: (C)

$9$th

Median is the middle value of the data values after arranging the data values in the ascending or descending order.

If $n$ is odd, then the median is $(\frac{n+1}{2}{)}^{th}$ value.

If $n$ is even, then the median is ${\frac{(\frac{n}{2}{)}^{th}+(\frac{n}{2}+1)}{2}}^{th}$ value.

Given that $n=17$ (odd) then

the median is $(\frac{17+1}{2}{)}^{th}$ value = $9^{th}$ value.