8.5.0: Exercises
- Page ID
- 171741
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)For the following exercises, use the following twenty data values to answer the questions without technology: 1, 4, 6, 7, 12, 15, 21, 25, 29, 30, 31, 33, 39, 43, 44, 45, 51, 55, 60, 63
What data value is at the 10th percentile?
What data value is at the 55th percentile?
What data value is at the 90th percentile?
What data value is at the 30th percentile?
What data value is at the first quartile?
What data value is at the third quintile?
At what percentile is 29?
At what percentile is 55?
At what percentile is 4?
At what percentile is 51?
For the following exercises, use the data in "TNSchools", which has data on many institutions of higher education in the state of Tennessee. Here are what the columns represent:
| Column Name | Description |
|---|---|
| AdmRate | Proportion of applicants that are admitted |
| UGEnr | Number of undergraduate students |
| PTUG | Proportion of undergraduates who attend part-time |
| InState | Tuition and fees for in-state students |
| OutState | Tuition and fees for out-of-state students |
| FacSal | Mean monthly faculty salary |
| Pell | Proportion of students receiving Pell Grants |
| MedDebt | Median student loan debt at degree completion |
| StartAge | Mean age at the time of entry |
| Female | Proportion of students who identify as female |
What admission rate is at the second quintile?
What admission rate is at the 80th percentile?
What admission rate is at the 90th percentile?
At what percentile is East Tennessee State University for admission rate?
At what percentile is Rhodes College for admission rate?
At what percentile is Freed-Hardeman University for admission rate?
What proportion of part-time undergraduate enrollment is at the third quartile?
What proportion of part-time undergraduate enrollment is at the 15th percentile?
What proportion of part-time undergraduate enrollment is at the 40th percentile?
At what percentile is Lee University for proportion of part-time undergraduate enrollment?
At what percentile is Fisk University for proportion of part-time undergraduate enrollment?
At what percentile is Middle Tennessee State University for proportion of part-time undergraduate enrollment?
What median student loan debt is at the 10th percentile?
What median student loan debt is at the fourth quintile?
What median student loan debt is at the 85th percentile?
At what percentile is Carson-Newman College for median student loan debt?
At what percentile is Austin Peay State University for median student loan debt?
At what percentile is Belmont University for median student loan debt?
What mean starting age is at the first quartile?
What mean starting age is at the 67th percentile?
What mean starting age is at the 35th percentile?
At what percentile is the University of the South for mean starting age?
At what percentile is Lincoln Memorial University for mean starting age?
At what percentile is the University of Tennessee-Chattanooga for mean starting age?
What proportion of students who identify as female is at the third quintile?
What proportion of students who identify as female is at the 12th percentile?
What proportion of students who identify as female is at the 85th percentile?
At what percentile is Martin Methodist College for proportion of students who identify as female?
At what percentile is Tennessee Technological University for proportion of students who identify as female?
At what percentile is Maryville College for proportion of students who identify as female?