The median of the given data is: 7, 5, 2, 3, 6, 9, 1

The correct answer is Option (2) → 5

To find the median of the given data set, follow these steps:

Arrange the data in ascending order: The original data is: $7, 5, 2, 3, 6, 9, 1$

Sorted data: $1, 2, 3, 5, 6, 7, 9$

Identify the number of observations ($n$): There are $7$ numbers in the set. Since $7$ is an odd number, the median is the middle value.

Find the middle position: The position of the median is given by the formula:

$\text{Median Position} = \frac{n + 1}{2} = \frac{7 + 1}{2} = 4^{\text{th}} \text{ position}$

Determine the value at the middle position: Looking at the sorted list ($1, 2, 3, \mathbf{5}, 6, 7, 9$), the $4^{\text{th}}$ value is 5.

Therefore, the median of the given data is 5.