MAT115 Test 4

Hoenle

Name: ______

Date: ______

MAT 115 Chapter 8-9 Cumulative Test

25 problems – 4 points each

100 points possible

Answer each question directly underneath the problem in the box and attach the file in your Individual Forum (IF).Remember to show all steps and check your work carefully.

Correct
Solution? / Appropriate Steps Shown? / Credit Earned per Problem
Y / Y / Full Credit
Y / N / Partial Credit
N / Y / Partial Credit
N / N / No Credit
Prob. # / Problem and Solution (Show all steps): / Comments
(Grading)
1. / Continent or Region / Land Area
(1,000 mi2) / % of Earth / Population
1950 / Population
2000
North America / 9,400 / 16.2 / 221,000,000 / 305,000,000
South America / 6,900 / 11.9 / 111,000,000 / 515,000,000
Europe / 3,800 / 6.6 / 392,000,000 / 510,000,000
Asia (including
Russia) / 17,400 / 30.1 / 1,591,000,000 / 4,028,000,000
Africa / 11,700 / 20.2 / 229,000,000 / 889,000,000
Oceana (including
Australia) / 3,300 / 5.7 / 12,000,000 / 32,000,000
Antarctica / 5,400 / 9.1 / — / —
World Total / 57,900 / 2,556,000,000 / 6,279,000,000
Answer the following questions using the above table.
a) What is the total land area of South America?
6,900,000 mi^2, from the table
b) What was the population per square mile in Europe in 2000? (Round your answer to the nearest tenth)
= pop in 2000 divided by land area:
= 6279000000/57900000
= 108.4 people / sq mi
2. / Answer the following questions using the table given in #1.
a) What was the mean population of all inhabited areas except Asia in 2000?
Mean millions = (305+515+510+889+32)/5
= 450.2 million
= 450,200,000
b) What is the total land area in Oceana as a percent of Earth?
33/579
= 0.057
= 5.7%
3. / Find the first and third quartiles, Q1 and Q3, of the following set of numbers.
13, 4, 12, 16, 8, 14, 8, 3, 10, 8
Sort them:
3, 4, 8, 8, 8, 11, 13, 14, 15, 18
Third and 8th numbers:
8 and 14
4. / Fiona kept the following records of her phone bills for 12 months:
$47, $42, $56, $46, $63, $49, $47, $40, $58, $63, $51, $62
a) Find the mean of Fiona’s monthly phone bills.
(47+42+56+46+63+49+47+40+58+63+51+62)/12
= $52
b) Find the median of Fiona's monthly phone bills.
Sort them:
40, 42, 46, 47, 47, 49, 51, 56, 58, 62, 63, 63
Median = average of the two middle ones:
(49+51) / 2
= 100/2
= 50
5. / Using the following set of numbers:
33, 72, 23, 27, 77, 68, 85
a) Find the minimum and maximum
minimum is lowest = 23
maximum is highest = 85
b) Find the range
= max-min
= 85-23
= 62
6. / Using the following set of numbers:
15, 14, 10, 15, 16
a) Find the median
sort them:
10, 14, 15, 15, 16
Median = middle = 15
b) Find the mode
mode = most common = 15
7. / Use the graph below, showing the total U.S. motor vehicle production for the years 1996 to 2002, to answer the questions.

a) What was the production in 2000?
12.75 million cars
b) Find the median of the production for the years 1996 to 2002.
Get the numbers, in order:
11.5, 11.75, 12, 12.25, 12.25, 12.75, 13
Middle number = 12.25 million
8. / Liza kept the following records of her utility bills for 12 months:
$30, $25, $33, $29, $46, $31, $30, $63, $41, $40, $34, $30
a)Find the mean of Liza's monthly utility bill.
(30+25+33+29+46+31+30+63+41+40+34+30)/12
= $36
b) Find the median of Liza's monthly utility bill.
Sort them:
252930303031333440414663
Take the average of the middle numbers:
= (31+33)/2
= $32
c) Is the mean or median a more useful representative of Liza's monthly utility bills?
I think the median is a more useful representative, since the mean takes the outlier ($63) and raises the mean substantially, while the median does not get increased because of it.
9. / Find the five-number summary of the following set of numbers.
349, 243, 119, 363, 246, 505, 263, 221, 324
Sort them
119221243246263324349363505
Low = 119
Q1 = (221+243)/2 = 232
Median = middle = 263
Q3 = (349+363)/2 = 356
High = 505
{119, 232, 263, 356, 505}
10. / The following table gives the population of certain states according to the 2000 census.
State / Population
Illinois / 12,419,293
New Jersey / 8,414,350
New York / 18,976,457
Tennessee / 5,689,283
Texas / 20,851,820
Construct a bar graph from this information.

11. / Use the graph, showing the yearly food costs of a family.
A)

a) What was the increase in the cost of food from 2001 to 2002?
11 thousand – 10 thousand
= 1 thousand
= 1000
b) What was the percent increase in the cost of food from 2001 to 2002?
Change/Old
= 1000/10000
= 0.1
= 10%
12. / The following pie chart shows the budget for a local company. The total budget is $560,000. Find the amount budgeted in the category of miscellaneous.

Misc = 10% = 0.1
0.1*560000
= $56,000
13. / Add
Common denominator:
-21/35 + 8/35
-21+8 = -13
So:
-13/35
14. / Divide = -(12/4) = -3
15. / Subtract = -2.3 + 8.8 = 6.5
16. / Multiply = 4/1 * -3/2 = 2/1 * -3 = -6
17. / Evaluate = 1/7(-17) = -17/7
18. / Which of the following numbers are integers?

The whole numbers
58, -218
19. / Place the following set of numbers in ascending order.
25, –13, 8, –2, 13, 3, 18
Sort them:
-13, -2, 3, 8, 13, 18, 25
20. / a) Evaluate = get rid of the minus sign = 14
b) Evaluate = 111
21. / Add = -57 – 22 = -79
22. / Multiply = 10*6*-9 = 60*-9 = -540
23. / Divide = 15/3 = 5
24. / Subtract = 7/9 + 13/18 = 14/18 + 13/18
= 27/18
= 3/2
25. / Perform the indicated operations.
= 5/0
Anything divided by 0 = undefined
Undefined
Total

1