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Data Analysis, Probability, and Discrete Mathematics
17. Each face of a number cube is labeled with one
of the numbers 1 through 6. What is the probability
of rolling a 4?
A. 1/6
B. 1/4
C. 4/6
D. 1
The correct answer is A.
18. The newspaper reported the following temperatures
for the city of Trenton for a certain week in May.
|
DAY
|
Temperature
(In degrees Fahrenheit)
|
|
Monday
|
75°
|
|
Tuesday
|
69°
|
|
Wednesday
|
68°
|
|
Thursday
|
62°
|
|
Friday
|
58°
|
|
Saturday
|
72°
|
|
Sunday
|
72°
|
What was the average (arithmetic mean) temperature
of the week?
A. 58° B. 68°
C. 69° D. 72°
The correct answer is B.
19. Three children are scheduled to have their picture
taken as a group. If the children are going to stand
side-by-side, in how many ways can they be arranged?
A. 3
B. 6
C. 9
D. 12
The correct answer is B.
20. The graph above shows the number of tickets sold
for the first three days of the state fair. What is
the approximate number of tickets sold?
A. 450
B. 500
C. 550
D. 600
The correct answer is C.
21. George has 4 notebooks: one for math, one for science,
one for language arts, and one for social studies. He
is going to take two notebooks home tonight.
Example:
How many different pairs of notebooks could he take
home?
A. 2
B. 4
C. 6
D. 8
The correct answer is C.
22. It is Cheryl's turn to spin a spinner to choose
an activity for her physical education class. Cheryl
will spin one of the spinners below to decide what the
class will do.
Cheryl's favorite activity is swimming.
. Find the probability of landing on swimming using
Spinner 1.
. Find the probability of landing on swimming using
Spinner 2.
. Decide which spinner Cheryl should choose if she wants
to go swimming.
. Explain why Cheryl should choose this spinner.
Sample Item # 22
Scoring Rubric
3 points
The student appropriately responds to all four
parts of the question.
2 points
The student correctly finds the probability
of landing on swimming for both spinner 1 and
spinner 2.
OR
The student correctly finds the probability
of landing on swimming for either spinner 1
or spinner
2. The student gives a reasonable explanation
for which spinner Cheryl should choose.
1 point
The student correctly finds the probability
of landing on swimming for either spinner 1
or spinner 2.
OR
The student gives a reasonable explanation for
which spinner Cheryl should choose.
0 points
The response shows limited to no understanding
of the problem's mathematical concepts.
Note:
A reasonable explanation for bullet four might
include bigger area, fewer choices, or comparison
of fractions. |
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