Step -1: Arrange the given data in ascending order. \textbf{Step -1:
Arrange the given data in ascending order.} Step -1: Arrange the given data in ascending order.
Arranging data in ascending order: \text{Arranging data in ascending
order:} Arranging data in ascending order:
16 , 16 , 19 , 25 , 26 , 28 , 31 , 32 , 35 16,16,19,25,26,28,31,32,35 16 , 16 , 19 , 25 , 26 , 28 , 31 , 32 , 35
Step -2: Find median of the given data. \textbf{Step -2:
Find median of the given data.} Step -2: Find median of the given data.
Here, number of observations, n = 9 ( odd number ) \text{Here, number of observations,
}n=9(\text{odd number}) Here, number of observations, n = 9 ( odd number )
∵ Median = ( n + 1 2 ) th o b s e r v a t i o n . \mathbf{\because\text{Median}=\left(\dfrac{n+1}{2}\right)^\text{th}observation.} ∵ Median = ( 2 n + 1 ) th observation.
∴ Median = ( 9 + 1 2 ) th observation \therefore
\text{Median}=\left(\dfrac{9+1}{2}\right)^\text{th}\text{observation} ∴ Median = ( 2 9 + 1 ) th observation
= ( 10 2 ) th observation =\bigg(\dfrac{10}{2}\bigg)^\text{th}\text{observation} = ( 2 10 ) th observation
= 5 th observation =5^\text{th}\text{ observation} = 5 th observation
= 26 =26 = 26
Hence, the correct option is C. \textbf{Hence, the correct option is C.} Hence, the correct option is C.