Question

find the median of the data set below.
8, 6, 3, 12, 12, 12

Explanation:

Step1: Order the data set

First, we order the data set from least to greatest. The data set is \(3, 6, 8, 12, 12, 12\).

Step2: Find the middle values

Since there are 6 data points (an even number), the median will be the average of the two middle numbers. The two middle numbers are the 3rd and 4th values. The 3rd value is \(8\) and the 4th value is \(12\).

Step3: Calculate the average

To find the median, we calculate the average of \(8\) and \(12\). The formula for the average of two numbers \(a\) and \(b\) is \(\frac{a + b}{2}\). So, \(\frac{8 + 12}{2}=\frac{20}{2} = 10\).

Answer:

The median of the data set is \(10\).