Section 6.10.H: Homework
- Page ID
- 216529
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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 6.10: Percentiles - Homework Exercises
A statistics class of 20 students takes an exam. Here are the scores (out of 100), arranged in order:
52, 58, 63, 65, 68, 71, 73, 75, 78, 80, 82, 84, 85, 87, 89, 91, 93, 95, 97, 99
What score is at the 60th percentile?
- Answer
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The 60th percentile is 84
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
What score is at the 65th percentile?
- Answer
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The 65th percentile is 85
The weekly salaries (in dollars) of sixteen government workers are given below:
887, 770, 820, 958, 1,234, 835, 1,089, 979, 829, 1,043, 861, 911, 855, 1,121, 934
What salary is at the 35th percentile?
- Answer
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The 35th percentile is $861
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 percentile rank for a weight of 199.
- Answer
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The value of 199 is the 80th percentile
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 percentile rank for a value of 23.
- Answer
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The value of 23 is the 20th percentile
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 percentile rank for a salary of 887.
- Answer
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The value of $887 is the 40th percentile