Question

find the median for the following list of numbers. 107, 110, 126, 136, 146, 164 the median is (type an integer or a decimal.)

Explanation:

Step1: Check the number of elements

The list has \(n = 6\) numbers. Since \(n\) is even, the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered elements.

Step2: Identify the relevant elements

For \(n = 6\), \(\frac{n}{2}=3\) and \(\frac{n}{2}+1 = 4\). The 3rd element is \(126\) and the 4th element is \(136\).

Step3: Calculate the median

The median \(M=\frac{126 + 136}{2}=\frac{262}{2}=131\)

Answer:

\(131\)