find the median of each set of data.\n12, 8, 6, 4, 10, 1\n6, 3, 5, 11, 2, 9, 5, 0\n30, 16, 49, 25

find the median of each set of data.\n12, 8, 6, 4, 10, 1\n6, 3, 5, 11, 2, 9, 5, 0\n30, 16, 49, 25
Answer
Explanation:
Step1: Arrange data in ascending order
For the first set: $1,4,6,8,10,12$. There are $n = 6$ data - points. Since $n$ is even, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered values. $\frac{n}{2}=3$ and $\frac{n}{2}+1 = 4$. The 3rd value is $6$ and the 4th value is $8$. Median$=\frac{6 + 8}{2}=7$. For the second set: $0,2,3,5,5,6,9,11$. There are $n = 8$ data - points. $\frac{n}{2}=4$ and $\frac{n}{2}+1 = 5$. The 4th value is $5$ and the 5th value is $5$. Median$=\frac{5 + 5}{2}=5$. For the third set: $16,25,30,49$. There are $n = 4$ data - points. $\frac{n}{2}=2$ and $\frac{n}{2}+1 = 3$. The 2nd value is $25$ and the 3rd value is $30$. Median$=\frac{25+30}{2}=27.5$.
Answer:
7 5 27.5