Answer: The median of the given data is [tex]\frac{5}{2}[/tex]
Explanation: Given: 3,1,5,7,2,3,2,8,3,9,4,2
To find: Median of the given data.
Solution: First step is to arrange the data in the ascending order.
Original data: 3,1,5,7,2,3,2,8,3,9,4,2
Ordered data: 1,2,2,2,3,3,3,4,5,7,8,9
Now, next step is to count the number of observations.
Number of observations, n = 12
When n is odd, the median is calculated using the formula
Median = [(n+1)/2]th term
When n is even, the median is calculated using the formula
Median= [[tex]\frac{n}{2} th[/tex] term + [tex](\frac{n}{2}+1) th[/tex] term] /2
Since, n is even therefore we will calculate median using the formula
Median= [[tex]\frac{n}{2} th[/tex] term + [tex](\frac{n}{2}+1) th[/tex] term] /2
[[tex]\frac{12}{2}th[/tex] term + [tex]\frac{12}{2}+1 th[/tex] term] /2
[6th term + 7th term] /2
[3+2] /2
[tex]\frac{5}{2}[/tex]
Therefore, the median of the given data is [tex]\frac{5}{2}[/tex]