Math 123 Quantitative Reasoning

Math 123
Quantitative Reasoning

Homework 7 – Sec 8
Life Expectancy and Descriptive Statistics

1. The total points scored in the games of an NBA playoff series:
195
176
215
200
189
232
201
Mean = _______________ (round to two decimal places)
Median = ______________
Mode = ________________ (enter N/A if the mode does not exist)
25th Percentile = ____________
75th Percentile = ____________
Maximum = _____________
Minimum = _____________
Range = ________________

2. Body temperature measured in degrees Fahrenheit of randomly selected normal and healthy adults:
98.6 98.6 98.0 99.0 98.4 98.4 98.4 98.7 98.9 98.8
Mean = _______________ (round to two decimal places)
Median = ______________
Mode = ________________ (enter N/A if the mode does not exist)
25th Percentile = ____________
75th Percentile = ____________
Maximum = _____________
Minimum = ______________
Range = _________________

3. Weights measured in grams of randomly selected M&M plain candies:
0.957 0.912 0.925 0.886 0.920 0.958 0.915 0.914 0.947 0.939 0.84
Mean = _______________ (round to four decimal places)
Median = ______________
Mode = ________________ (enter N/A if the mode does not exist)
25th Percentile = ____________
75th Percentile = ____________
Maximum = _____________
Minimum = ______________
Range = _________________

Math 123
Quantitative Reasoning

Homework 7 – Sec 8
Life Expectancy and Descriptive Statistics

4. Professor Ivy has the following scores on her final exams:
97 88 66 55 89 72 94 32 84 89 72 76 77
Mean = _______________ (round to two decimal places)
Median = ______________
Mode = ________________ (enter N/A if the mode does not exist)
25th Percentile = ____________
75th Percentile = ____________
Maximum = _____________
Minimum = ______________
Range = _________________

Questions 5-12. Below is data from the Earth Policy Institute showing the top 10 countries’ fossil-fuel carbon dioxide
(CO2) emissions during 2012.
Country

CO2 Emissions (tons of
carbon dioxide)

2012 population

China

8,782,000,000

1,359,750,000

United States

5,144,000,000

316,597,000

India

2,185,000,000

1,233,460,000

Russia

1,646,000,000

143,400,000

Japan

1,232,000,000

127,310,000

Germany

733,000,000

80,523,700

Iran

583,000,000

76,876,000

South Korea

576,000,000

50,219,669

Indonesia

535,000,000

237,641,326

Canada

528,000,000

35,141,542

Emissions per Capita

5. Calculate the per capita emissions for each country. Fill your answers in the table above. (round to two decimal
places)
6. Find the mean CO2 emissions of the top 10 countries. (round to the nearest whole number)

7. Find the mean per-capita emissions among the top 10 nations. (round to three decimal places)

Math 123
Quantitative Reasoning

Homework 7 – Sec 8
Life Expectancy and Descriptive Statistics

8. Find the median per-capita emissions among the top 10 nations. (round to two decimal places)

9. Are total emissions or per-capita emissions a better gauge when comparing the CO2 emissions of various countries?
Why?

10. Which measurement (mean or median) would be used by an environmentalist to support the position that CO2
emissions per capita are too high?