Question

There are 8 numbers in a data and all are distinct. If they are arranged in ascending order and the 3rd entry is decreased by 1, then the median is decreased by

• A. 0
• B. 1
• C. 3
• D. 8

Answer 1

The correct option is A 0

Number of observations (n) = 8
Here, n = 8 is even.
$\therefore \text{Median}=\frac{(\frac{n}{2}{)}^{th}\text{term}+(\frac{n}{2}+1{)}^{th}\text{term}}{2}$
$=\frac{4^{th}\text{term}+5^{th}\text{term}}{2}$
Since, the median does not depend on the 3rd entry, so the median will remain the same.
Hence, the correct answer is option (a).