Question

find the median for the following group of data items. 12, 9, 8, 7, 13, 10, 6, 8 the median is □. (type an integer or a decimal)

Explanation:

Step1: Order the data

First, we need to arrange the data set \(12, 9, 8, 7, 13, 10, 6, 8\) in ascending order.
Sorting the numbers: \(6, 7, 8, 8, 9, 10, 12, 13\)

Step2: Find the middle position

The number of data points \(n = 8\), which is even. For an even number of data points, the median is the average of the two middle numbers. The middle positions are \(\frac{n}{2}=4\)th and \(\frac{n}{2}+ 1=5\)th terms.

Step3: Identify the middle numbers and calculate the median

The 4th term is \(8\) and the 5th term is \(9\). The median is the average of these two numbers, calculated as \(\frac{8 + 9}{2}\).
\(\frac{8+9}{2}=\frac{17}{2} = 8.5\)

Answer:

\(8.5\)