Question

for the following set of numbers, find the median.
35, 52, 48, 27, 32, 39
the median is □. (type an integer or a decimal.)

Explanation:

Step1: Sort the numbers

First, sort the set of numbers \(27,32,35,39,48,52\).

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. \(\frac{n}{2}=3\) and \(\frac{n}{2}+1 = 4\). The third element is \(35\) and the fourth element is \(39\). The median is \(\frac{35 + 39}{2}=\frac{74}{2}=37\).

Answer:

\(37\)