Question

given the following set of numbers, calculate the median: 12, 7, 5, 19, 8, 10, 15, 6, 11, 9.

9

9.5

10

11

Explanation:

Step1: Sort the numbers

$5,6,7,8,9,10,11,12,15,19$

Step2: Determine the position

There are $n = 10$ numbers. Since $n$ is even, the median is the average of the $\frac{n}{2}$ - th and $(\frac{n}{2}+ 1)$ - th ordered values. $\frac{n}{2}=5$ and $\frac{n}{2}+1 = 6$.

Step3: Calculate the median

Median=$\frac{9 + 10}{2}=9.5$

Answer:

B. 9.5