Solution:
Median = Mid value of Set of observation
If number of observation is odd, suppose n
Median = [tex]\frac{n+1}{2}[/tex] th term
If number of observation is even , then
Median = Mean of two middle observation i.e [tex]\frac{\frac{n}{2}+(\frac{n}{2}+1)}{2})^{\text{th term}[/tex]
Data set : 17, 20, 30, 28, 18
Data arranged in ascending order: 17,18,20,28,30
Let one data =x
Number of observation is even.
Given, Median = 24
As , when number of observation is even , median is mean of two mid values.
Median=[tex]\frac{20+28}{2}=24[/tex]→→→ getting the median.
So, x must be greater than 30.
The correct option satisfying the above condition is Option (D) 34.
