Question

the manager of a party supply store researched how many balloons it sold in the past 5 days. what is the median of the numbers?

Explanation:

Step1: List the data

From the graph, the number of balloons sold each day: Tuesday - \(6\), Wednesday - \(7\), Thursday - \(10\), Friday - \(8\), Saturday - \(10\). So the data set is \(6\), \(7\), \(8\), \(10\), \(10\).

Step2: Find the median

For a set of \(n = 5\) (odd - numbered) data points \(x_1,x_2,\cdots,x_n\) sorted in ascending order, the median is \(x_{\frac{n + 1}{2}}\). Here \(n=5\), \(\frac{n + 1}{2}=\frac{5+ 1}{2}=3\). The third - ordered value in the set \(6\), \(7\), \(8\), \(10\), \(10\) is \(8\).

Answer:

\(8\)