Sort the data

First, arrange the given numbers in ascending order: 14, 14, 29, 40, 48, 50, 51, 73, 76, 78, 89.

$14, 14, 29, 40, 48, 50, 51, 73, 76, 78, 89$

Count the number of observations

Count the total number of elements ($n$) in the data set. Here, $n = 11$.

$n = 11$

Apply median formula

Since $n$ is odd, the median is the value at the position $\frac{n+1}{2}$.

$\frac{11+1}{2} = 6^{th} \text{ term}$

Identify the median

The 6th term in the sorted sequence (14, 14, 29, 40, 48, 50...) is 50.

$\text{Median} = 50$