Question

hat is the median of the data shown in the dot plot above?

Explanation:

Step1: Count the total number of data points

Count the number of dots. There are \(1 + 2+2 + 1+2+3+3+1=15\) data points.

Step2: Find the position of the median

For \(n = 15\) (odd number of data points), the median is the \(\frac{n + 1}{2}=\frac{15+ 1}{2}=8^{th}\) data point when the data is ordered.

Step3: Order the data and find the \(8^{th}\) value

Order the data: \(1,1,1,2,2,3,4,4,5,5,5,6,6,9\). The \(8^{th}\) value is \(4\).

Answer:

\(4\)