Question

find the median of this data set: 95, 82, 90, 88, 85, 92

Explanation:

Step1: Sort the data set

Sort the numbers in ascending order: \(82, 85, 88, 90, 92, 95\)

Step2: Find the median

Since there are \(n = 6\) (even number of data points), the median is the average of the \(\frac{n}{2}\) -th and \((\frac{n}{2}+ 1)\) -th values.
\(\frac{n}{2}=\frac{6}{2}=3\), \(\frac{n}{2}+1 = 4\)
The \(3\) -rd value is \(88\) and the \(4\) -th value is \(90\)
Median\(=\frac{88 + 90}{2}=\frac{178}{2}=89\)

Answer:

\(89\)