Sort the Data Set

Arrange all 11 observations in ascending order: $21, 34, 45, 49, 55, 67, 76, 82, 88, 92, 112$.

$21, 34, 45, 49, 55, 67, 76, 82, 88, 92, 112$

Determine Number of Terms

Count the total number of terms, which gives $N = 11$ (an odd number).

$N = 11$

Apply Median Position Formula

Find the position of the median using $\text{Position} = \frac{N + 1}{2}$.

$\text{Position} = \frac{11 + 1}{2} = 6$

Identify the Median Value

The $6^{\text{th}}$ term in the sorted sequence is $67$.

$6^{\text{th}} \text{ term} = 67$