Problem
Assignment Question 4, 3.4.23-T HW Score: $60 \%, 3$ of 5 points Part 2 of 5 Points: 0 of 1 Save The accompanying data represent the monthly rate of return of a certain company's common stock for the past few years. Complete parts (a) and (b) below. Click the icon to view the data table. (a) Determine and interpret the quartiles. The first quartile is $Q_{1}=-0.02$. (Round to four decimal places as needed.) The second quartile is $Q_{2}=0.045$. (Round to four decimal places as needed.) Rate of Return \begin{tabular}{|ccccccccc|} \hline 0.26 & 0.26 & 0.03 & 0.06 & 0.06 & -0.04 & -0.040 .22 \\ 0.47 & 0.06 & -0.15 & 0.19 & 0.05 & 0.18 & 0.09 & 0.02 \\ -0.05 & -0.020 .08 & 0.02 & -0.020 .13 & -0.08 & -0.02 \\ 0.06 & -0.010 .07 & -0.050 .01 & -0.100 .02 & 0.03 \\ 0.01 & 0.11 & -0.110 .10 & 0.10 & 0.25 & -0.020 .03 \\ \hline \end{tabular} Print Done
Solution
Step 1 ：First, extract the data from the question and store it in a list.
Step 2 ：Then, sort the list in ascending order.
Step 3 ：After that, calculate the median (Q2) and the first quartile (Q1).
Step 4 ：The sorted data is [-0.15, -0.11, -0.1, -0.08, -0.05, -0.05, -0.04, -0.04, -0.02, -0.02, -0.02, -0.02, -0.01, 0.01, 0.01, 0.02, 0.02, 0.02, 0.03, 0.03, 0.03, 0.05, 0.06, 0.06, 0.06, 0.06, 0.07, 0.08, 0.09, 0.1, 0.1, 0.11, 0.13, 0.18, 0.19, 0.22, 0.25, 0.26, 0.26, 0.47].
Step 5 ：The second quartile (Q2) is 0.03.
Step 6 ：The first quartile (Q1) is -0.02.
Step 7 ：Final Answer: The first quartile \(Q_{1}\) is \(\boxed{-0.02}\) and the second quartile \(Q_{2}\) is \(\boxed{0.03}\).
