$A$ football player scored the following number of goals in $10$ matches:
$1, 3, 2, 5, 8, 6, 1, 4, 7, 9$
Since the number of matches is $10$ (an even number),the median is calculated as:
Median $= \frac{5^{\text{th}} \text{ observation} + 6^{\text{th}} \text{ observation}}{2}$
$= \frac{8 + 6}{2} = 7$
Is this the correct answer? If not,why?

(D) The answer $7$ is incorrect. To find the median of a data set,the observations must first be arranged in ascending or descending order.
Step $1$: Arrange the data in ascending order:
$1, 1, 2, 3, 4, 5, 6, 7, 8, 9$
Step $2$: Since the number of observations $n = 10$ (which is even),the median is the average of the $5^{\text{th}}$ and $6^{\text{th}}$ observations.
$5^{\text{th}}$ observation $= 4$
$6^{\text{th}}$ observation $= 5$
Median $= \frac{4 + 5}{2} = \frac{9}{2} = 4.5$
Therefore,the correct median is $4.5$.