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 elements.
Here, \( \frac{n}{2}=3 \) and \( \frac{n}{2}+1 = 4 \).
The 3 - rd element is \( 27 \) and the 4 - th element is \( 35 \).
The median \( M=\frac{27 + 35}{2}=\frac{62}{2}=31 \).

Answer:

\( 31 \)