Use the given data to construct a frequency and relative frequency distribution.
1) A medical research team studied the ages of patients who had strokes caused by stress. The ages of 36 patients who suffered stress strokes were as follows.
|
29
|
30
|
36
|
41
|
45
|
50
|
57
|
61
|
28
|
50
|
36
|
58
|
|
60
|
38
|
36
|
47
|
40
|
32
|
58
|
46
|
61
|
40
|
55
|
32
|
|
61
|
56
|
45
|
46
|
62
|
36
|
38
|
40
|
50
|
27
|
55
|
49
|
A grouped frequency distribution table is given below.
Fill in the missing frequencies and relative frequencies.
|
Age
|
Frequency (f)
|
Relative Frequency (f/n)
|
|
25-29
|
|
8%
|
|
30-34
|
3
|
|
|
35-39
|
|
|
|
40-44
|
|
11%
|
|
45-49
|
|
|
|
50-54
|
3
|
|
|
55-59
|
|
17%
|
|
60-64
|
5
|
|
Construct the specified histogram.
2) At a small café, the manager kept count of the number of cappuccinos made every hour during one day. The results are summarized in the frequency table below. Construct a histogram from the given table.
|
Number of Cups
of Cappuccino
|
Tally
|
Frequency
|
|
0-3
|
//
|
2
|
|
4-7
|
///
|
3
|
|
8-11
|
 ///
|
8
|
|
12 - 15
|
///
|
3
|
|
16 - 19
|
//
|
2
|
Label the histogram below using the information from the table
Construct a stem and leaf display for given data.
3) In a survey, 20 voters were asked their age and their responses are below..
Construct a stem and leaf table of the data.
|
36
|
46
|
43
|
65
|
|
61
|
38
|
42
|
59
|
|
57
|
34
|
35
|
46
|
|
62
|
45
|
49
|
55
|
MULTIPLE CHOICE. Choose the one that best answers the question.
Use the information to complete a circle graph.
Note that the circle is divided into 100 equal sections. 4) Intended major of high school students:
Science: 32%
Social Science: 8%
Humanities: 20%
Business: 16%
Other: 24%
Use this graph to answer the question and write your answers below.
5) What was the total rainfall for the first 6 months of City #1?
6) What month in City #2 had the lowest amount of rainfall?
7) What two consecutive months in City #2 was the rainfall the same amount?
Find the mean for the given sample data. Round answer to one decimal place.
8) Ten students in Mr. Logan's math class took the SAT last week. Their math scores are shown below. Find the mean score for his students.
|
556
|
631
|
341
|
346
|
628
|
|
351
|
341
|
566
|
470
|
482
|
Find the median for the given sample data.
In ten trips to Las Vegas, Sally has won the following amounts of money. Find the median amount of her winnings.
|
$2188
|
$3047
|
$4902
|
$6017
|
$1837
|
|
$2504
|
$6446
|
$8518
|
$6203
|
$4752
|
Find the mode or modes.
10) The table shows the winning teams of the Stanley Cup in hockey for the given 20 Years,
Which team or teams is the mode or modes for the list of winners?
|
Year
|
*of Teams in league
|
Champion
|
Year
|
*of Teams in league
|
Champion
|
|
1967-1968
|
12
|
Montreal Canadiens
|
1977-1978
|
18
|
Montreal Canadiens
|
|
1968-1969
|
12
|
Montreal Canadiens
|
1978-1979
|
17
|
Montreal Canadrens
|
|
1969-1970
|
12
|
Boston Bruins
|
1979-1980
|
21
|
New York Islanders
|
|
1970-1971
|
14
|
Montreal Canadiens
|
1980-1981
|
21
|
New York Islanders
|
|
1971-1972
|
14
|
Boston Bruins
|
1981-1982
|
21
|
New York Islanders
|
|
1972-1973
|
16
|
Montreal Canadiens
|
1982-1983
|
21
|
New York Islanders
|
|
1973-1974
|
16
|
Philadelphia Flyers
|
1983-1984
|
21
|
Edmonton Oilers
|
|
1974-1975
|
18
|
Philadelphia Flyers
|
1984-1985
|
21
|
Edmonton Oilers
|
|
1975-1976
|
18
|
Montreal Canadiens
|
1985-1986
|
21
|
Montreal Canadiens
|
|
1976-1977
|
18
|
Montreal Canadiens
|
1986-1987
|
21
|
Edmonton Oilers
|
Mode is_________________
Use your calculator to find the standard deviation. Round to one decimal place.
11) 166, 226, 287, 198, 299, 254, 157, 287, 257
Find the z-score and answer the question. Round to one decimal place.
12) Martin scored 39 points on a quiz. The average score for his class was 39 with a standard deviation of 2.4.
Jeff is in a different class who also had a quiz. He scored 31. The average score in Jeffs class was 26 with a standard deviation of 1.9.
Find the z-score for each person. Relatively speaking, who did better (ranked higher)?
Find simple interest.
Write the correct formula, fill in the formula, use your calculator and write the answer.
13) $3000 at 3.3% interest for 20 months
Find either the future value or present value for compounded interest.
Write the correct formula, fill in the formula, use your calculator and write the answer. 14) You just put $20,000 in a savings account that is expected to earn 5% compounded semiannually. How much is in our savings account after 30 years?
15) The average cost of a 4-year college education is projected to be $120,000 in 20 years. How much money should be invested now at 8.5%, compounded quarterly, to provide $120,000 in 20 years?
Find compounded interest.
Write the correct formula, fill in the formula, use your calculator and write the answer.
16) $6000 at 5.5% compounded continuously for 9 years
Find either the future value or present value for simple interest
Write the correct formula, fill in the formula, use your calculator and write the answer.
17) Barb is buying a new car for $15,000. Her old car has a trade-in value of $3500.
The dealer informs her that the financing charge is 9% interest. If id?she wishes to take 3 years to pay off the car, what will be the total amount repaid?
18) Tony and Barb decide to buy new living room furniture worth $8000. Barb decides they should pay off what they owe in 30 monthly payments at 8% interest.
(a) How much money will they owe for their furniture?
(b) What will be their monthly payment?
Use the table of monthly payments below to calculate the monthly payments. Round your answer to the nearest cent.
Monthly Payments to Repay Principal and Interest on a $1000 Mortgage
|
Annual Rate (r)
|
Term of Mortgage (Years)
|
|
5
|
10
|
15
|
20
|
25
|
30
|
|
8.0%
|
$20.27639
|
$12.13276
|
$9.55652
|
$8.36440
|
$7.71816
|
$7.33765
|
|
8.5%
|
20.51653
|
12.39857
|
9.84740
|
8.67823
|
8.05227
|
7.68913
|
|
9.0%
|
20.75836
|
12.66758
|
10.14267
|
8.99726
|
8.39196
|
8.04623
|
|
9.5%
|
21.00186
|
12.93976
|
10.44225
|
9.32131
|
8.73697
|
8.40854
|
|
10.0%
|
21.24704
|
13.21507
|
10.74605
|
9.65022
|
9.08701
|
8.77572
|
|
10.5%
|
21.49390
|
13.49350
|
11.05399
|
9.98380
|
9.44182
|
9.14739
|
|
11.0%
|
21.74242
|
13.77500
|
11.36597
|
10.32188
|
9.80113
|
9.52323
|
|
11.5%
|
21.99261
|
14.05954
|
11.68190
|
10.66430
|
10.16469
|
9.90291
|
|
12.0%
|
22.24445
|
14.34709
|
12.00168
|
11.01086
|
10.53224
|
10.28613
|
19) Find the monthly payment needed to amortize principal and interest for the following fixed-rate mortgage.
Mortgage amount: $75,000
Term of mortgage: 15 years
Interest rate: 10.5%
20) Find the monthly payment needed to amortize principal and interest for the following fixed-rate mortgage.
Mortgage amount: $150,000
Term of mortgage: 20 years
Interest rate: 9.5%
21) Find the monthly payment needed to amortize principal and interest for the following fixed-rate mortgage.
Mortgage amount: $60,000
Term of mortgage: 10 years
Interest rate: 12.0%
22) Find the monthly payment needed to amortize principal and interest for the following fixed-rate mortgage.
Mortgage amount: $345.000
Term of mortgage: 30 years
Interest rate: 8.0%
Answer the questions about a financial investment. Show as much work as possible.
23) The following information on Company X appears in a stock table
|
YTD
|
52-Week
|
|
|
|
YLD
|
|
VOL
|
|
NET
|
|
% CHG
|
HI
|
LO
|
STOCK (SYM)
|
DIV
|
%
|
PE
|
100s
|
CLOSE
|
CHG
|
|
3.3
|
35.99
|
27.9
|
Company X CMX
|
0.62
|
1.8
|
23
|
6592
|
33.69
|
0.17
|
The cost to purchase 650 shares of Company X at the day's closing price is $33.69. Six months after your purchase, the company profits and you receive a dividend of $0.62 per share. A year later, the price of your stock has risen to $35.99.
Answer the following questions:
a) What was your total cost to purchase the stock from Company X?
b) What was your dividend?
c) What was the capital gain when you sold the stock?
d) What was the total return from your investment last year?