Chapter 4.1, Problem 13E

A sample consisting of four pieces of luggage was selected from among the luggage checked at an airline counter, yielding the following data on x = weight (in pounds):

$\begin{array}{cccc}{x}_1=\text{33}.\text{5},& x_2 =\text{27}.\text{3}, & x_{\text{3}}=\text{36}.\text{7},& x_{\text{4}}=\text{3}0.\text{5}\end{array}$

Suppose that one more piece is selected and denote its weight by x₅. Find a value of x₅ such that $\bar{x}$ = sample median.