Question

find the median for the following group of data items.
95, 93, 96, 92, 99, 95

the median is \square. (type an integer or a decimal.)

Explanation:

Step1: Order the data

First, we need to arrange the data items in ascending order. The given data is 95, 93, 96, 92, 99, 95. When we sort them from smallest to largest, we get: 92, 93, 95, 95, 96, 99.

Step2: Find the median position

For a set of data with \( n \) values, if \( n \) is even, the median is the average of the \( \frac{n}{2} \)-th and \( (\frac{n}{2}+1) \)-th values. Here, \( n = 6 \) (which is even), so \( \frac{n}{2}=3 \) and \( \frac{n}{2}+1 = 4 \).

Step3: Calculate the median

The 3rd value in the sorted data is 95 and the 4th value is also 95. The average of these two values is \( \frac{95 + 95}{2}=\frac{190}{2}=95 \).

Answer:

95