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Data Management Exam Review June 2006 (Revised)
1.
If a matrix has dimensions 3
×
5,
a)
how many entries does the matrix have?
b)
how many entries are in the second row?
c)
how many entries are in the fourth column?
d)
what are the dimensions of the transpose matrix?
2.
Let matrix
.
a)
State the dimensions of
A.
b)
List the entries in the second column of
A.
c)
List the entries in the third row of
A
.
d)
State the value of entry
a
23
.
e)
Which entry has a value of 2?
3.
Find
for
.
4.
Given
,
, and
, either calculate the following or explain
why the calculation cannot be done.
a)
5
B
b)
2
A
– 3
C
5.
Given
,
, and
, either calculate the following or explain
why the calculation cannot be done.
a)
AB
b)
BC
6.
Calculate
B
2
for
.
7.
Calculate 2
X
–
W
for
and
, or explain why this operation is not defined.
8.
Explain the differences between a bar graph and a histogram.
9.
Describe the difference between a discrete variable and a continuous variable.
10.
The ages, in years, of a group of friends are listed below.
29, 33, 36, 48, 50, 51, 53, 53
a)
Find the mean, median, and mode of the ages.
b)
Explain what each of these measures tells you about this group of friends.
c)
What do the relative values of the mean and median tell you about the group?
11.
Does the slope of the line of best fit tell you anything about the strength of a linear correlation? Explain why
or why not.
12.
On his university application, Enzo must list his course choices in order of preference. He must choose three
of the four courses available in his major discipline, and two of the three courses offered in related subjects.
In how many ways can Enzo list his course choices? Explain your reasoning.
13.
Bruna lives in Hamilton and is planning a trip to Hong Kong. On the day she wants to travel, she can take one
of two flights to Toronto, then one of three possible flights to Vancouver, and finally one of four flights
available from Vancouver to Hong Kong. Use a tree diagram to determine the number of ways Bruna could
fly from Hamilton to Hong Kong.
14.
How many ways are there to draw a 7 or a king from a standard deck of 52 playing cards?
15.
How many ways can you choose a 4, a 9, or a jack from a deck of 52 cards?
16.
How many tendigit telephone numbers are possible if the first three digits must all be different?
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View Full Document17.
In how many ways can you arrange all the letters of the word
POINTS
?
18.
Linda works in an antique bookstore. In how many ways can she arrange the five most expensive books on a
display shelf?
19.
Norma is creating a new game that has 15 different cards. In how many different ways can you deal out 5
cards from Norma’s deck?
(order is important)
20.
In how many different ways can you deal out 4 red cards from a deck that has 15 different cards of which 4
are red, 5 are green, and 6 are blue?
21.
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 Spring '10

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