Question

what is the median? 1 0 -4 0 5 -1

Explanation:

Step1: Order the data set

First, we need to order the given data set from least to greatest. The data set is \(1, 0, -4, 0, 5, -1\). When we order it, we get \(-4, -1, 0, 0, 1, 5\).

Step2: Find the median

Since there are 6 numbers (an even number of observations), the median is the average of the two middle numbers. The two middle numbers are the 3rd and 4th numbers in the ordered set. The 3rd number is \(0\) and the 4th number is also \(0\). To find the average, we use the formula \(\frac{a + b}{2}\), where \(a = 0\) and \(b = 0\). So \(\frac{0 + 0}{2}=\frac{0}{2} = 0\).

Answer:

\(0\)