Section 6.11.H: Homework
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Section 6.11: Quartiles - Homework Exercises
The weight (in pounds) of 20 random adults are listed below:
131, 138, 145, 149, 154, 156, 163, 166, 168, 170, 174, 175, 179, 181, 186, 194, 199, 201, 211, 222
Find the quartiles of the data set.
- Answer
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Q1 = 155, Q2 = 172, & Q3 = 190
Test scores of 40 students are given below:
78, 52, 96, 63, 89, 38, 72, 96, 55, 85, 63, 32, 87, 97, 68, 46, 91, 56, 75, 88,
62, 80, 73, 97, 58, 93, 63, 100, 71, 82, 65, 88, 77, 96, 72, 89, 76, 84, 78, 95
Find the quartiles of the data set.
- Answer
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Q1 = 63, Q2 = 77.5, & Q3 = 89
Thirty-five numbers from 1 through 100 were randomly assigned by a random number generator and listed below:
76, 23, 88, 51, 9, 67, 32, 19, 62, 45, 7, 79, 54, 91, 38, 73, 2, 85,
59, 16, 93, 66, 28, 80, 50, 11, 76, 62, 98, 17, 71, 46, 82, 57, 37
Find the quartiles of the data set.
- Answer
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Q1 = 28, Q2 = 57, & Q3 = 76
The weekly salaries (in dollars) of fifteen government workers are given below:
887, 770, 820, 958, 1,234, 835, 1,089, 979, 829, 1,043, 861, 911, 855, 1,121, 934
Find the quartiles of the data set.
- Answer
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Q1 = $835, Q2 = $911, & Q3 = $1,043
The annual incomes (in thousands of dollars) of a sample of local households are:
22, 28, 31, 34, 35, 38, 42, 45, 47, 50, 50, 52, 55, 58, 62, 66, 70, 85
Find the quartiles of the data set.
- Answer
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Q1 = 35, Q2 = 48.5, & Q3 = 58
The commute times (in minutes) for employees at a company are:
40, 32, 12, 20, 30, 35, 38, 45, 22, 60, 55, 50, 15, 25, 27, 18
Find the quartiles of the data set.
- Answer
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Q1 = 21, Q2 = 31, & Q3 = 42.5
The following data represent the number of hours students spent studying in the library during midterms week.
2, 3, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 24, 26, 28, 30
Find the quartiles of the data set.
- Answer
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Q1 = 7, Q2 = 11, & Q3 = 18.5
A university surveyed commuting students and recorded their one‑way commute times (in minutes)
5, 7, 8, 10, 12, 13, 15, 17, 18, 20, 22, 23, 25, 27, 28, 30, 32, 33, 35, 37, 38, 40, 42, 43, 45, 47, 48,
50, 52, 53, 55, 57, 60, 62, 65, 67, 68, 70, 72, 75, 78, 80, 85, 90, 95, 100, 105, 110, 115, 120, 130
Find the quartiles of the data set.
- Answer
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Q1 = 25, Q2 = 47, & Q3 = 70


