Question

find the median for the following group of data items. 94, 95, 91, 96, 92, 94
the median is □. (type an integer or a decimal)

Explanation:

Step1: Arrange data in ascending order

91, 92, 94, 94, 95, 96

Step2: Determine the number of data - items

There are 6 data - items. Since \(n = 6\) (an even number), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered data - items.

Step3: Calculate the positions

\(\frac{n}{2}=\frac{6}{2}=3\) and \(\frac{n}{2}+1 = 3 + 1=4\).

Step4: Find the median

The 3rd value is 94 and the 4th value is 94. The median is \(\frac{94 + 94}{2}=94\).

Answer:

94