1. Find the median of each set of numbers.
1, 4, 9, 15, 25, 36
2. Find the mode of each set of numbers.
a. 41, 43, 56, 67, 69, 72
b. 9, 8, 10, 9, 9, 10, 8
3. Statistics. A salesperson drove 238, 159, 87, 163, and 198 miles (mi) on a 5-day trip. What was the mean number of miles driven per day?
4. Business and finance. The following scores were recorded on a 200-point final examination: 193, 185, 163, 186, 192, 135, 158, 174, 188, 172, 168, 183, 195, 165, 183.
(a) Find the mean final examination score.
(b) Find the median final examination score.
(c) Is the mean or median a more useful representative of the final examination scores? Write a brief paragraph justifying your response.
5.
Continent or Region Land Area % of earth Population Population Population
(1,000 mi2) 1900 1950 2000
North America 9,400 16.2 106,000,000 221,000,000 305,000,000
South America 6,900 11.9 38,000,000 111,000,000 515,000,000
Europe 3,800 6.6 400,000,000 392,000,000 510,000,000
Asia (including Russia) 17,400 30.1 932,000,000 1,591,000,000 4,028,000,000
Africa 11,700 20.2 118,000,000 229,000,000 889,000,000
Oceana (including Australia) 3,300 5.7 6,000,000 12,000,000 32,000,000
Antarctica 5,400 9.3 Uninhabited - -
World total 57,900 1,600,000,000 2,556,000,000 6,279,000,000
Use the world population and land area table in the tex. Round answers to the nearest tenth or tenth of a percent.
i. (a) What is the population of Europe in 2000?
(b) What is the total area of Europe?
ii. Compare the population per square mile in Asia to the population per square mile in North America for the year 2000.
iii. What is the percent increase in the population for all six inhabited continents, excluding Asia, from 1950 to 2000?
iv. What was the percent increase in the population in South America from 1900 to 2000?
v. (a) What was the mean population of the six continents or land masses that were habitable in 2000?
(b) What was the mean population in 1950?
(c) What was the percent increase in the mean population from 1950 to 2000?
6. Use the graph below, showing the number of robberies in a town during the last 6 months of a year.
i. How many robberies occurred in November?
ii. What was the mean number of robberies per month over the last 6 months?
iii. The graph and table below give the monthly principal and interest payments for a mortgage from 1999 to 2004. Use this information to predict the payment for 2005.
Year Payment
1999 $578
2000 613
2001 654
2002 675
2003 706
2004 730
2005
7. The table below gives the median earnings of women aged 25 and older who work full-time, year round, by educational attainment, according to the 2000 census.
Education Earnings
HS diploma or GED $23,719
Associate's degree 30,178
Bachelor's degree 38,208
Master's degree 47,049
Doctorate's degree 55,620
Create a bar graph from this information.
The following pie chart shows the budget for a local company. The total budget is $600,000. Find the amount budgeted in each of the following categories.
8. Operating expenses
The following pie chart shows the distribution of a person's total yearly income of $24,000. Find the amount budgeted for each category.
9. The following table gives the number of Senate members with military service in the 106th U.S. Congress, by branch.
Branch Count
Army 17
Navy 10
Air Force 4
Marines 6
Coast Guard 1
National Guard 2
Construct a pie chart from this information.
11. Find the median of each set of numbers.
26, 30, 38, 67, 59, 21, 17, 85, 22, 22
12. Give the five-number summary of each set of numbers.
7, 7, 5, 4, 1, 9, 8, 8, 8, 5, 2
13. One measure used to describe a data set is the range. The range of a data set is given by the difference between the max and the min of the set. The range describes the variability of the data (that is, how much do the numbers vary).
Range = max - min
Find the range of each set of numbers.
7, 7, 5, 4, 1, 9, 8, 8, 8, 5, 2