Question

question 2
what is the median of the data set?
10, 9, 17, 21, 11, 18, 19, 12, 18, 16
a 18
b 15
c 18

Explanation:

Step1: Arrange data in order

$9, 10, 11, 12, 16, 17, 18, 18, 19, 21$

Step2: Determine position

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

Step3: Calculate median

The 5th value is 16 and the 6th value is 14. Median=$\frac{16 + 14}{2}=15$.

Answer:

B. 15