Question

find the median for the following group of data items. 8, 13, 6, 5, 12, 7, 14, 11 the median is □. (type an integer or a decimal.)

Explanation:

Step1: Order the data

First, we need to arrange the data in ascending order. The given data is 8, 13, 6, 5, 12, 7, 14, 11. After sorting, we get: 5, 6, 7, 8, 11, 12, 13, 14.

Step2: Find the middle terms

Since there are 8 data points (an even number), the median will be the average of the two middle terms. The two middle terms are the 4th and 5th terms. The 4th term is 8 and the 5th term is 11.

Step3: Calculate the median

To find the median, we take the average of these two terms. The formula for the average of two numbers \(a\) and \(b\) is \(\frac{a + b}{2}\). So, we calculate \(\frac{8 + 11}{2}\).

$$ \frac{8+11}{2}=\frac{19}{2} = 9.5 $$

Answer:

9.5