Question

bata HW 6: Practice Problems1.The table shows the number of hours per week that each of 13 seventh-grade students spentdoing homework. Create a box plot to summarize the data,3 10124.7955 11115 1211I

Answer 1

To create a Box plot, Take the following steps

Step1: Arrange the data in ascending order that is from the smallest to the largest

$3,4,5,5,5,7,9,10,11,11,11,12,12$

Step2: Find the median of the data

The median is the middle number after the arrangement

Hence for the data above the median is

$9$

Step3: Find the Quartiles

The first quartile is

$\begin{gathered} \frac{1}{4}of13 \\ 3.25 \\ \text{which correspound to 5} \end{gathered}$

The Third Quartile is

$\begin{gathered} \frac{3}{4}\times13=9.75 \\ \text{which correspound to the position} \\ 11 \end{gathered}$

Step4: Take a scale that fit all the set of Data

Step5: Dra a box through Q1 and Q2 and a line passing through the median