2000-2008 Public Release Items CLG 3.1.1
2000
2001
2002
© Maryland State Department of Education 2007
Page PR. 165
2000-2008 Public Release Items CLG 3.1.1
2003
2003
© Maryland State Department of Education 2007
Page PR. 166
2000-2008 Public Release Items CLG 3.1.1
Steve is a member of the baseball team. He averages 2 hits for every 5 times at bat.
Steve might get a hit his next time at bat. Which of these methods could not be used
to simulate this situation?
A Flip a fair coin once. Let heads represent a hit and let tails represent not getting a hit.
B Use a random number generator. Let 1 and 5 represent a hit and let 2, 3, and 4
represent not getting a hit.
C Spin a spinner with 10 equally-sized sections. Let 4 sections represent getting a hit
and let 6 sections represent not getting a hit.
D Draw a marble from a bag that contains 8 red and 12 blue marbles. Let a red marble
represent getting a hit and let a blue marble represent not getting a hit.
2005
A high school principal is meeting with the PTA to discuss the amount of time
students spend doing homework each day. He asked a teacher to gather data for the
parents. The teacher is going to survey 25 students from a student body of 1,000
students. Consider the methods of sampling shown below.
Method 1: randomly select 25 students from honors classes
Method 2: select 25 members of the girls' varsity softball team at random
Method 3: use a random number generator to generate 25 random numbers and use
these to select 25 students from a numerical list of the students
Method 4: randomly select 25 classrooms and ask the teacher in each classroom to
select a student
Complete the following in the Answer Book:

Which of the above methods of sampling would give the most representative
random sample of the student population? Use mathematics to justify your
answer. Include in your justification why you chose that method and why
you did not choose each of the other three methods.
2005
© Maryland State Department of Education 2007
Page PR. 167
2000-2008 Public Release Items CLG 3.1.1
A cereal company awards a prize to anyone who collects all 5 different game pieces.
Each game piece has an equal chance of being placed in a box of cereal. Each box of
cereal contains only 1 game piece.
Complete the following in the Answer Book:

Design a simulation of at least 30 trials that can be used to estimate how
many boxes of cereal a person needs to buy to collect all 5 different game pieces.
Describe how to collect and interpret the data so that you have confidence in the
estimation.
2006
Inés wants to conduct a survey to determine how many customers see the
advertisement for her store. Which of these methods provides Inés with the most
representative sample of her customers?
A. Survey customers who live near her store.
B. Survey customers who shop at her store on weekends.
C. Survey customers who shop at her store early in the morning.
D. Survey customers who shop at her store at different times throughout the
week.
2006
© Maryland State Department of Education 2007
Page PR. 168
2000-2008 Public Release Items CLG 3.1.1
The principal will survey 100 students to determine which elective courses to offer next
year. The principal will use one of the methods below.
Method A: Survey the first 100 students who enter the cafeteria on a randomly selected
day.
Method B: Have 25 teachers each randomly select 4 eleventh-grade students to be
surveyed.
Method C: Assign each student a number. Use a random number generator to generate
100 numbers. Survey those students whose numbers are generated.
Complete the following in the Answer Book:


Which method will provide the principal with a simple random
sample of the student population? Use principles of simple
random sampling to justify your answer.
Use principles of simple random sampling to justify why each of
the other two methods does not provide a simple random
sample.
2007
Jeremy plays soccer. He scores a goal in 40% of his games. Jeremy wants to design a
simulation using a spinner to predict the probability that he will score a goal in 8 out of
10 games. Which simulation design has an appropriate device and a correct trial?
A. Divide a spinner into 5
the spinner 8 times.
B. Divide a spinner into 5
the spinner 10 times.
C. Divide a spinner into 4
spinner 8 times.
D. Divide a spinner into 4
spinner 10 times.
equal sections labeled 1, 2, 3, 4, and 5. Spin
equal sections labeled 1, 2, 3, 4, and 5. Spin
equal sections labeled 1, 2, 3, and 4. Spin the
equal sections labeled 1, 2, 3, and 4. Spin the
2008
© Maryland State Department of Education 2007
Page PR. 169
2000-2008 Public Release Items CLG 3.1.1
The table below shows the number of students in a high school by grade level.
A student is selected at random. Which spinner below would best simulate the grade level
of the student?
A.
B.
C.
D.
2007
© Maryland State Department of Education 2007
Page PR. 170
2000-2008 Public Release Items CLG 3.1.1
The president of the student government wants to survey the students in the school about
their satisfaction with the 36 after-school activities. There are 1,000 students in the
school—200 freshmen, 200 sophomores, 300 juniors, and 300 seniors. The president
suggested three different sampling methods.
Method A: Randomly choose three students from each of the 36 after-school activities for
the survey.
Method B: Randomly select 100 students from the honor roll list to survey.
Method C: Randomly select 20 freshmen, 20 sophomores, 30 juniors, and 30 seniors for
the survey.
Complete the following in the Answer Book:


Which method provides the most representative sample of the student population?
Use mathematics to justify your answer.
Use mathematics to justify why each of the other two methods does not provide a
representative sample.
2008
© Maryland State Department of Education 2007
Page PR. 171