what is the median of this data set? {23, 16, 19, 17, 15, 19, 17, 24} enter your answer in the box.

what is the median of this data set? {23, 16, 19, 17, 15, 19, 17, 24} enter your answer in the box.

what is the median of this data set? {23, 16, 19, 17, 15, 19, 17, 24} enter your answer in the box.

Answer

Explanation:

Step1: Sort the data set

$15, 16, 17, 17, 19, 19, 23, 24$

Step2: Determine the position

There are $n = 8$ 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. $\frac{n}{2}=\frac{8}{2}=4$ and $\frac{n}{2}+1 = 5$.

Step3: Calculate the median

The 4th value is $17$ and the 5th value is $19$. Median=$\frac{17 + 19}{2}=\frac{36}{2}=18$

Answer:

$18$