Question

what is the median of this set of data?
66, 51, 77, 68, 60, 75, 54, 80
○ 29
○ 64
○ 66
○ 67

Explanation:

Step1: Sort the data

Sort the data set \(66, 51, 77, 68, 60, 75, 54, 80\) in ascending order: \(51,54,60,66,68,75,77,80\).

Step2: Find the median

Since there are \(n = 8\) (even number of data points), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th values. \(\frac{n}{2}=4\) and \(\frac{n}{2}+1 = 5\). The 4th value is \(66\) and the 5th value is \(68\). The median \(M=\frac{66 + 68}{2}\).

$$M=\frac{66+68}{2}=\frac{134}{2}=67$$

Answer:

\(67\)