Study Guides
(238,472)

Canada
(115,151)

Ryerson University
(7,992)

Quantitative Methods
(168)

QMS 102
(88)

anon
(1)

Midterm

# Midterm(V2)(Soln).doc

Unlock Document

Ryerson University

Quantitative Methods

QMS 102

anon

Summer

Description

Question 1 [6 marks] The following sample data was obtained at 8pm
at a popular downtown restaurant. There were 15 tables occupied at
that time.
Number of guests Food Bill ($) per Liquor Bill ($) per
at the table table person
2 48.75 15.75
2 36.75 26.00
4 90.55 22.90
4 87.45 42.45
2 41.25 14.00
4 83.30 29.75
6 109.40 44.05
4 88.25 21.55
4 93.45 22.00
2 36.50 16.45
2 42.60 18.00
4 105.80 37.57
4 84.65 18.95
5 110.35 43.95
4 83.55 22.50
a) What is the mean liquor bill ($) (corrected to two decimal places)
per table?
$102.34 .
b) What is the median liquor bill ($) (corrected to two decimal
places) per person?
$22.90 .
c) What is the mean food bill ($) (corrected to two decimal places)
per person? $21.56 .
Question 2 (10 marks) The following data in Table A that was
published by Statistics Canad(Only the answer (correct to two
decimal places) inserted in the space provided below, will be
marked.)
Table A: Number of persons with high pressure
M: Male F: Female
2003 2005 2007 2008
M F M F M F M F
Newfoundlan 34207 43016 39236 46987 39760 53918 40045 49451
d
PEI 7701 10475 8696 10250 10435 10103 10963 11254
Nova Scotia 64785 79746 62706 81586 70279 81388 75351 87489
New 46271 57224 59048 64689 56815 67189 57588 66268
Brunswick
Quebec 37955 54137 43328 54297 48762 55498 49047 58835
7 2 3 4 4 1 7 0
Ontario 72664 78678 76584 84595 82572 92602 87066 94968
0 4 8 8 7 5 5 5
Manitoba 58153 72697 66100 76097 74005 78356 84289 90067
Saskatchewa 54353 65802 56284 68862 60305 75011 70391 78450
n
Alberta 15368 16425 17413 16887 18609 21632 22329 20725
1 8 7 8 6 9 2 8
British 21759 25054 22118 25263 25152 26853 27555 27936
Columbia 0 8 1 7 3 6 5 7
Yukon 1201 1382 1433 1638 2374 1707 1482 1602
Northwest 1999 1613 1722 1344 2163 1595 2441 1278
Terrotories
Nunavut 542 361 679 361 508 437 241 690
Source: Statistics Canada, CANSIM, table (for fee) 105-0501
Last Modifed: 2010-03-17
(1) The coefficient of variation for “the number of males with high
pressure in 2003’’ is
155.27%
.
(2) The coefficient of variation for “the number of males with high
pressure in 2008’’ is 149.88%
.
(3) Which year has relatively more varied number of males with high
pressure: 2003 or 2008, or None?
None, i.e., they have roughly the same amount of
variability.
(4) Which measure of central tendency would be a better measure,
mean or median, to represent the data on the “the number of
females with high pressure in 2008’’?
median .
(5) What would you say that the distribution of the data on the “the
number of females with high pressure in 2008’’, skewed left,
skewed right, or symmetric?
skewed right .
Question 3 (4 marks). A sample of 100 test grades has a mean of 79
and standard deviation 5. Unfortunately, it has just been discovered that
two ''actual" test grades "80" each were erroneously recorded as “76”
and “84”. If the instructor makes this correction to the data, find the
(new) sample mean. Show all your work, and correct your answer to two
decimal places.
As the sum of the 100 grades (after being corrected) is still the
same, the new sample mean remains the same: 79. Question 4 (6 marks). The table below appeared in the Financial Post
of December 2, 1998.
Table2
World oil giants
Name of Company Total Profit Revenue per Employees
(US$ billion) employee
(US$)
Exxon Corp. 11.8 96,170 122,700
Royal Dutch/Shell group 7.8 74,286 105,000
British Petroleum/Amoco 4.0 70,859 56,450
Total SA/Petrofina SA 2.9 67,391 69,066
Texaco Inc. 2.7 92,109 29,313
Elf Aquitaine 0.96 11,469 83,700
ENI 3.0 74,286 80,178
Chevron Corp. 3.3 84,615 39,362
PDVSA 4.8 84,818 56,592
SK 0.125 4,086 30,595
Note: For this question, only your numeric answer (correct to
two decimal places) with the appropriate symbol and units will
be marked. It is not necessary to show how you arrived at your answer.
a) For the 10 companies shown, what is the mean prof

More
Less
Related notes for QMS 102