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After School-2

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Suppose the probability that a softball player will get a hit is approximately 0.310. What is the probability that she will get a hit in each of her next 2 plate appearances?
a.
0.155
c.
0.0961
b.
0.1021
d.
0.31
 
 
The Department of Motor Vehicles is investigating different license plate designs. They have come up with five designs:
Design 1:Two letters (A-Z) followed by four numbers (0-9).
Design 2:Three letters (A-Z) followed by three numbers (0-9).
Design 3:Three numbers (0-9) followed by three letters (A-Z).
Design 4:Four numbers (0-9) followed by two letters (A-Z).
Design 5:Three letters (A-Z) followed by three numbers (0-9), with an image of the state bird on the plate.
All designs allow for the repetition of letters and numbers. The plates are assigned randomly to drivers.
 

 2. 
Refer to the information above. If a driver is assigned a plate of Design 2, what is the probability it will begin with the letter V?
a.
mc002-2.jpg
c.
mc002-4.jpg
b.
mc002-3.jpg
d.
mc002-5.jpg
 

 3. 
Refer to the data above. How many different plates of Design 2 can be issued?
a.
17,576,000
c.
17,576
b.
260
d.
10,000
 
 
Several students were surveyed about their favorite type of movie to watch. Each student is only allowed to give one answer. The results are shown in the bar graph below.
Favorite Type of Movie
nar002-1.jpg
 

 4. 
According to the graph above, how many students were surveyed?
a.
15
c.
4
b.
31
d.
5
 
 
The bar graph below shows several students’ responses to a survey that asked what kinds of pets they have in their homes. Some students may have more than one kind of pet.
Kinds of Pets
nar003-1.jpg
 

 5. 
According to the graph above, which of the following could be the number of students surveyed?
a.
8
c.
5
b.
24
d.
3
 
 
Three students ran for student council secretary at a local high school The results of the election are listed by class below. Only juniors and seniors were eligible to vote.
Student Council Secretary Election Results
 
Kunio Kato
Frank Rodriguez
Rosa Smith
Juniors
108
188
145
Seniors
134
166
141
Total
242
354
286
 

 6. 
Consider the Student Council Secretary Election Results shown above. What percent of juniors voted for Kunio Kato?
a.
30.4%
c.
32.9%
b.
42.6%
d.
24.5%
 
 
The table shows the number of students in each grade who participate in foreign language clubs at Meadowlark High School. Each student participates in only one club.
Foreign Language Clubs
Language
9th Grade
10th Grade
11th Grade
12th Grade
Spanish
10
8
15
8
German
10
6
12
12
French
9
5
6
5
 

 7. 
According to the data above, how many students at Meadowlark High School participate in a foreign language club?
a.
81
c.
97
b.
25
d.
106
 

 8. 
Refer to the data above. Which grade has the highest number of students who participate in foreign language clubs?
a.
11th grade
c.
10th grade
b.
9th grade
d.
12th grade
 
 
The information in the table was compiled from a survey of state park users’ participation in various outdoor activities.
Participation of State Park Users (thousands)
Age
Hiking
Camping
Picnicking
Boating
Total
18–29
6.6
10.2
6.3
6.4
29.5
30–45
9.4
8.7
5.6
7.7
31.4
46–60
4.8
3.4
11.5
6.3
26.0
60+
5.5
3.7
11.9
5.3
26.4
Total
26.3
26.0
35.3
25.7
113.3
 

 9. 
Refer to the above Participation of State Park Users table. What percent of those surveyed who are 60 or older participates in boating? Round your answer to the nearest tenth.
a.
23.5%
c.
21.6%
b.
17.8%
d.
20.1%
 

 10. 
The stem-and-leaf plot shows the total number of points the Hawks basketball team scored during its games this season. During how many games did they score fewer than 40 points?
Points Scored
Stem
Leaves
3
7, 8, 8, 9
4
0, 3, 5, 9, 9
5
1, 4, 9, 9, 9
6
6, 9, 9
 
6 | 9 = 69
a.
3
c.
8
b.
5
d.
4
 

 11. 
A marketing company takes a random sample of 650 women to get their opinion on a new style of car. The marketing company then reports the following: “Four out of five drivers surveyed prefer the new style over the old style.” Explain why this conclusion would be misleading.
a.
The people surveyed were not randomly selected.
b.
The survey question was biased toward towards the new style.
c.
The company only surveyed women but made the claim about all drivers.
d.
The sample size of drivers was too small.
 

 12. 
A researcher randomly surveyed 380 members of a gym across the country. The members were asked how many times they exercise each week. The researcher drew the conclusion: “Two out of three Americans exercise at least twice per week.” Explain why this conclusion is misleading.
a.
The wording of the survey question was biased toward exercising frequently.
b.
The researcher surveyed members of a gym who are more likely to exercise regularly.
c.
The sample size was too small.
d.
The survey takers were not selected randomly.
 

 13. 
Carmen’s quiz scores this semester are shown in the table below. Which of the following measures should she choose to make her average quiz grade appear as high as possible?
Quiz Number
1
2
3
4
5
6
7
8
9
Grade
86
75
89
79
75
81
72
80
75
a.
mode
c.
median
b.
mean
d.
range
 

 14. 
The number of cars passing a certain intersection each hour are listed below.
3, 9, 1, 4, 7, 9, 3, 1, 3, 1
What is the mean number of cars passing the intersection each hour?
a.
4.6
c.
4.1
b.
0
d.
3
 

 15. 
The table shows the number of points scored by the school basketball team in their first eight games. Which of the following measures would make the team’s point production per game appear as high as possible?
Points Scored
55
40
51
50
45
52
59
52
a.
mode
c.
mean
b.
range
d.
median
 

 16. 
The table shows the number of absent students each week at Mariemont High School during the first eight weeks of the school year. Which of the following measures would make the number of absent students per week appear as small as possible?
11
10
6
17
13
8
7
8
a.
range
c.
mode
b.
mean
d.
median
 

Numeric Response
 
 
Students in a biology class will be studying plants in a few weeks. The biology teacher will have each student select one plant from two separate boxes. The first box contains 3 roses, 4 snapdragons, 3 beans, and 6 peas. The second box contains 5 roses, 5 snapdragons, 12 peas, and 5 daisies.
 

 17. 
Refer to the information above. If a student selects one plant from Box 1 and then one plant from Box 2 at random, what is the probability that the plants selected will be peas and daisies, in that order? Express your answer as a decimal to the nearest thousandth, if necessary.

 

 18. 
The human body is composed of many different chemical elements, as shown in the circle graph below.
nr018-1.jpg
nr018-2.jpg
If a specific person weighs 80 kilograms, and the percentages on the graph are by weight, how many kilograms of carbon are there in that person? Round to the nearest hundredth if necessary.

 

 19. 
Mr. Anderson polled his students on the number of hours of television they watch on an average night. The results are shown in the bar graph below. How many students watch more than 1 hour of television each night?
Television Watching
nr019-1.jpg

 
 
The table below shows some information about selected states in the United States.
State
Area (sq. km)
Population
Population Density (per sq. km)
Members in the House of Representatives
Alaska
1,530,700
401,851
0.3
1
Florida
151,939
9,746,421
64
19
Iowa
145,753
2,913,808
20
6
New York
127,189     
17,558,072
138
34
Ohio
107,044
10,797,624
101
21
Source: The World Book Encyclopedia
 

 20. 
What percentage of the states in the table above have a population of at least the mean of the populations of the states listed? Express your answer as a decimal.

 
 
The election results for student body President at Oceanside High School are shown in the table.
Oceanside High School Election Results
Student Body President
Class
Tina
Eric
Cindy
Freshmen
49
132
86
Sophomores
125
83
90
Juniors
140
92
72
Seniors
95
68
130
 

 21. 
According to the table above, what percent of the freshmen who voted cast their vote for Eric? Round your answer to the nearest tenth of a percent, if necessary.

 

 22. 
The graph below shows the amount of money that a student has in the bank at the end of each week.
nr022-1.jpg

If the pattern continues, how much money, in dollars, will the student have in the bank at the end of week 11? Round your answer to the nearest whole dollar.

 

Short Answer
 
 
Three students ran for treasurer at Valley High School. The voting results of the election are shown in the table.
Valley High School Election Results
Treasurer Candidates
Class
Vicky
Pedro
Thomas
Total
Freshmen
107
137
79
323
Sophomores
76
108
96
280
Juniors
134
81
109
324
Seniors
78
111
102
291
Total
395
437
386
 
 

 23. 
Refer to the above Valley High School Election Results table. What percent of the upperclassmen (juniors and seniors) who voted cast their vote for Vicky? Show your work.
 

 24. 
The number of rainy days each month over the past 8 months are shown below. Which measure of central tendency makes the “average” number of rainy days per month appear as small as possible? Show your work.
19
16
8
5
9
17
10
8
 

 25. 
The table shows the number of cups of hot chocolate sold at a ski resort and the outside temperature on that day.
Temperature (°F)
23
6
4
7
15
11
27
5
26
6
6