Aussie Maths & Science Teachers: Save your time with SmarterEd
Le Bron plays basketball and records the number of free throws he shoots in the first nine games of the season.
\(12, \ 8, \ 4, \ 15, \ 13, \ 7, \ 8, \ 3, \ 10\)
Using a 5-number summary of this dataset, or otherwise, determine
--- 2 WORK AREA LINES (style=lined) ---
--- 5 WORK AREA LINES (style=lined) ---
i. \(\text{Median}\ = 8\)
ii. \(\text{IQR}\ = \text{Q}_3-\text{Q}_1 = 5-2 =3\)
i. \(\text{Ordering the data values:}\)
\(3, \ 4, \ 7, \ 8, \ 8, \ 10, \ 12, \ 13, \ 15\)
\(\text{Median}\ = 8\)
ii. \(\underbrace{3}_{\text{min}}, \ \underbrace{4, \ 7}_{Q1}, \ 8, \ \underbrace{8}_{Q2}, \ 10, \ \underbrace{12, \ 13}_{Q3}, \ \underbrace{15}_{\text{max}}\)
\begin{array} {|c|c|c|c|c|}
\hline
\rule{0pt}{2.5ex} \ \text{Min} \ \rule[-1ex]{0pt}{0pt} &\ \ \text{Q}_1 \ \ \ &\ \ \text{Q}_2 \ \ \ &\ \ \text{Q}_3 \ \ \ & \ \text{Max} \ \\
\hline
\rule{0pt}{2.5ex} 3 \rule[-1ex]{0pt}{0pt} & 5.5 & 8 & 12.5 & 15 \\
\hline
\end{array}
\(\text{IQR}\ = \text{Q}_3-\text{Q}_1 = 12.5-5.5 =7\)