Math 110-Quantitative Literacy
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Feb 20, 2024
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Math 110-Quantitative Literacy
Homework #1
27 point HW + 5 point Data Analysis Project grade
1. Read the Fact Check Article
(posted on Blackboard in a word doc) which was published
on December 4, 2019.
a) The headline of the article is Does China burn seven to eight times as much coal as the U.S.? “Eight times as much” refers to which type of relative quantity—fraction, percent, rate, or ratio? - The relative quantity this refers to is ratio.
b) From the article, identify 4 absolute quantities, 2 percents or percent changes, 1 fraction, and 1 ratio from the article. Copy and paste (with some context) from the article and identify which type of quantity it is. (Not all numbers in the article can be labeled absolute or relative) - Absolute quantities: 289 coal filled power plants, China’s coal consumption was 1.91
billion tons, United States consumed 317 million tons, India consumes 452 million tons of oil.
- China’s coal consumption increased by 1.8% in 2007. -In 2017, U.S. coal consumption declined by 4.9%
-China’s coal consumption was 1.91 billion tons of oil equivalent in 2018. In the same year, the United States consumed 317 million tons. (also a fraction?)
c) The article states that “China’s coal consumption was 1.91 billion tons of oil equivalent in 2018. In the same year, the United States consumed 317 million tons.” Show the calculation
used to conclude that “China consumed about six times as much coal as the United States did.” Ratio: 1.91 BillionT / 317 MillionT
Equals: 1910/317
Equals: 6.02
d) Was Jim Justice’s press conference statement precisely correct? - NO, the statement was not precisely correct.
e) Why is it not surprising that China has a higher coal consumption than the US does? - China has a higher population than the U.S. they use more resources than us.
There were 1.393 billion people in China and 327.2 million people in the US in 2018. For each country, calculate the coal consumption rate per person. Express answer with correct units. China: 1.37 tons / per person
U.S.: 1 ton / per person
2. Open the excel file Illinois Poverty 2019
. This file contains 2019 population figures for each county in Illinois along with the percentage of this population living below the poverty
level. a) Sort the counties by percentage of the population below the poverty level. Which county had the highest percentage below the poverty level? Which one had the lowest percent? Highest – Jackson County 25.4%
Lowest – Kendall County 4.0%
b) In column D, calculate the number
of people living below the poverty level for each county. (Hint: Percent * Total = Number
). Round answers appropriately. Now sort the counties by column D. Which county had the highest number below the poverty level? Which one had the lowest number? For both, name the county and give its number. Highest – Cook County 659686.95
Lowest – 435.024
c) If a county has a small number of people below poverty level but also has a large percent, what must be true about the population of that county? Give an example from the data that illustrates this. - This just means a smaller overall population size. Ex. Montgomery County d) Use AutoSum to calculate the total population of Illinois. Also calculate the total number of people in Illinois below the poverty level. State both here. - Total population of Illinois: 12,401,307
-Total number of people in Illinois below poverty: 1,415,832
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e) Use the values from d) to calculate the percent of all Illinois residents that live below the poverty level? Calculation: 11.4%
f) What percent of all those who live below poverty level in Illinois live in Cook County? Or asked another way--The number of people who live below the poverty level in Cook County is what percent of all Illinois residents who live below the poverty level? g) If you were in charge of distributing money to help the poor citizens in the state, would you choose to give more money to Cook County or to Alexander County? Why? Explain your answer by incorporating the data into your argument. I would distribute the money to Alexander County, simply because they have a higher percentage of the population
living under the poverty line.
3. Your Data Analysis Project Data [5 pts]
In class, you chose one of the following topics for your Data Analysis Project: Drug Deaths, Homicide, or Voting
.
This will be your topic this semester for all questions relating to the Data Analysis Project. Go to Blackboard and open the excel file for your topic
. Notice that there are multiple pages of data in each excel file; see the tabs at the bottom of the file. Investigate all pages of the data and then answer the questions below. a. Identify one absolute quantity in your dataset. Write a complete sentence to explain that value using correct units. For example, if the topic were Poverty: In 2017, there were 40.5 million people living in poverty in the US. - One absolute quantity from my dataset is the number of drug deaths in 1999, at 16,849 deaths.
b. Identify one relative quantity in your dataset. Write a complete sentence to explain that value. For example, if the topic were Poverty: In 2017, 12.5% of total population of the US lived in poverty. - One relative quantity from my dataset is the deaths per 100,000 people in 2005, at 10.1.
c. Go to the page of the excel file with the State data. Are the values given on that page absolute quantities or relative quantities? If the state values are absolute quantities, calculate the appropriate relative quantity (percent or rate) for each state. Hint: Voting should use percents; Homicide and Drug Deaths should use rate per 100,000. - They are both
absolute and relative quantities, as the data uses perecentages and whole numbers.
d. Make a map of the states and their relative quantities (either percent or rate). Copy and paste the map here. (Remember to use the bottom map; right click over the map and choose
Copy)
e. Write a full description of the geographical trends shown on the map. Mention any outliers to that trend. Also include the state with the highest percent or rate and the state with the lowest percent or rate. Congratulations! You now have a good start on your Data Analysis Project! By saving
this work and the associated Excel file, you now have a map that you can use in your project at the end of the semester. This will make your life much easier later on.
Save your updated Data Analysis Project topic and Illinois Poverty excel files. Attach and submit those excel files along with this Word document with your answers in bold
.
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