2.9.1: Preparation 2.9
- Page ID
- 148733
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)In Collaboration 2.9, you will explore an example data set similar to those used by magazines to create their “best cities” lists for various parameters. A sample of this sort of data is given below:
Notes on the table:
- The cost of living index is based on the national average of 100.
- Population figures are from the United States Census Bureau (2019 estimates)
- Cost of living index figures are from Numbeo (as of March 2022)
- Job growth figures are from the Bureau of Labor Statistics (2021 annual averages)
- Median household income figures are from the United States Census Bureau (2019 estimates)
- Income growth figures are from the United States Census Bureau (2015-2019 estimates)
City |
Population (2019) |
Cost-of-Living index (2022) |
Job growth (2021) |
Med. household income (2019) |
Income growth (2015-19) |
Akron, OH |
197,597 |
79.5 |
-5.3% |
$42,452 |
8.3% |
Albany-Schenectady-Troy, NY |
886,188 |
100.4 |
-7.8% |
$65,229 |
6.2% |
Albany, GA |
72,130 |
80.8 |
-4.7% |
$32,981 |
8.6% |
Albuquerque, NM |
560,218 |
92.9 |
-1.5% |
$51,949 |
6.3% |
Alexandria, LA |
47,334 |
82.8 |
-5.5% |
$41,269 |
8.6% |
Amarillo, TX |
199,371 |
88.6 |
-2.1% |
$55,032 |
10.4% |
Ames, IA |
66,258 |
89.7 |
-2.4% |
$53,393 |
9.8% |
Anchorage, AK |
288,000 |
148.6 |
-6.9% |
$86,986 |
3.5% |
Anderson, SC |
197,575 |
85.5 |
-3.5% |
$47,081 |
8.9% |
Ann Arbor, MI |
123,851 |
96.4 |
-4.4% |
$74,378 |
12.4% |
Anniston-Oxford, AL |
115,527 |
83.8 |
-4.9% |
$38,784 |
8.3% |
Asheville, NC |
92,870 |
111.9 |
-2.1% |
$56,343 |
10.1% |
Auburn-Opelika, AL |
166,836 |
87.7 |
-1.7% |
$50,429 |
8.9% |
Augusta-Richmond County, GA-SC |
202,518 |
88.4 |
-4.8% |
$47,982 |
8.8% |
(1) Based on the sample given, identify each of the following values:
(a) Which city has the
(i) highest cost of living (COL)?
(ii) the lowest cost of living (COL)?
(b) What is the median household income in Ames, Iowa?
(c) What does the median tell you about the population of Ames, Iowa?
(d) Which city had the largest decrease in jobs?
(e) The Data USA estimated that in 2020, the Hispanic population in Amarillo, TX was approximately 66,200.31 What percentage of Amarillo’s population is Hispanic? Round to the nearest tenth of a percent.
(2) Find the mean and median of the populations in the list. You may use any appropriate technology, such as a spreadsheet or a calculator.
(a) What is the mean of the populations?
(b) What is the median of the populations?
After Preparation 2.9 (survey)
You should be able to do the following things for the next collaboration. Rate how confident you are on a scale of 1–5 (1 = not confident and 5 = very confident).
Before beginning Collaboration 2.9, you should understand the concepts and demonstrate the skills listed below.
Skill or Concept: I can … |
Rating from 1 to 5 |
perform basic operations using quantities such as integers, fractions, or decimals with the aid of technology. |
|
calculate a ratio and write the result as a percent. |
|
calculate and apply the measures of central tendency. |
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31 “Amarillo, TX,” Data USA, accessed March 2, 2023. https://datausa.io/profile/geo/amarillo-tx/.