what is the median of this data set? {11, 13, 13, 14, 14, 16, 18, 23, 24} enter your answer in the box.

what is the median of this data set? {11, 13, 13, 14, 14, 16, 18, 23, 24} enter your answer in the box.

what is the median of this data set? {11, 13, 13, 14, 14, 16, 18, 23, 24} enter your answer in the box.

Answer

Explanation:

Step1: Check data - set size

The data - set ${11, 13, 13, 14, 14, 16, 18, 23, 24}$ has $n = 9$ elements.

Step2: Use median formula for odd - sized data

For an odd - sized data set with $n$ elements, the median is the $\left(\frac{n + 1}{2}\right)$-th ordered element. Here, $\frac{n+1}{2}=\frac{9 + 1}{2}=5$.

Step3: Find the median

The 5th element in the ordered data set ${11, 13, 13, 14, 14, 16, 18, 23, 24}$ is $14$.

Answer:

$14$