Question

what is the median of the set of numbers? 45, 37, 19, 27, 35, 19 type your answer in the boxes

Explanation:

Step1: Sort the numbers

Sort the set \(45, 37, 19, 27, 35, 19\) in ascending order: \(19, 19, 27, 35, 37, 45\).

Step2: Find the median

Since there are \(n = 6\) (even number of elements), the median is the average of the \(\frac{n}{2}\) - th and \((\frac{n}{2}+ 1)\) - th terms. Here, \(\frac{n}{2}=3\) and \(\frac{n}{2}+1 = 4\). The 3 - rd term is \(27\) and the 4 - th term is \(35\). The median is \(\frac{27 + 35}{2}=\frac{62}{2}=31\).

Answer:

\(31\)