Find the median of the following observations.
6, 49, 14, 46, 16, 42, 26, 32, 28
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 28
Step 1: Arrange the observations in ascending order
Given numbers:
6, 49, 14, 46, 16, 42, 26, 32, 28
Arranged in ascending order:
$96,\ 14,\ 16,\ 26,\ \mathbf{28},\ 32,\ 42,\ 46,\ 4$
Step 2: Identify the middle value
- Total number of observations = 9 (odd number)
- Median position = $\frac{9+1}{2} = 5^\text{th}$
The 5th observation is 28.