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HSA 2009 Collect, Organize, Analyze Data
Contributed by: Dyson

Stephanie scored 88, 70, 84, and 72 on her first

four science tests. What score does Stephanie need

on her fifth science test to receive a mean score of 80?

A spinner is divided into 8 equal sections as shown

below.  What is the theoretical probability that the

arrow will not land on a section labeled E or O?

Enter your answer in

decimal form to the

nearest thousandth.

0.

The test scores for two classes are shown below.

What is the difference between the ranges of the

scores for class A and class B?

Alexis advertised that 25 percent of the cars that

she sold were red. Which of these could not be used

to simulate the number of red cars that Alexis sold?

Spin a spinner with 4 equally-sized sections.

Draw a card from a deck of cards numbered

    1 through 24.

 Toss a fair coin once.

Use a random number generator to generate

    the digits 1 through 8.

The table below shows the number of people on

the boards of directors of 23 companies. 

What is the median number of people on the boards

of directors of these 23 companies?

The growing season of a major city is defined

as the average number of days

between the last frost in the spring and the

first frost of the fall. Study the table

below showing the average growing

seasons of thirty major U.S. cities. If the

circled number 279 is changed to 179,

how would the mode of this data change?

mode would not change
mode would decrease from 213 to 210
mode would decrease from 196 to 193
there would be two modes: 156 and 179

 Number all students in the school, and randomly

     select the numbers of 40 students.

Javier wants to collect data about the number of hours

students in his school exercise each week. Based on

the principles of simple random sampling, which of

these is the best method for Javier to collect his data?

Randomly select 20 students from both the girls’

    and boys’ soccer teams.

Randomly select 10 freshmen, 10 sophomores,

    10 juniors, and 10 seniors.

Choose any 3 buses, and randomly select a total

    of 40 students from those buses.

Enter your answer in decimal form to the nearest

hundredth.

A fish tank at a pet store has 3 red fish,

6 blue fish, 7 yellow fish, and 4 orange fish. If one

fish is chosen at random from the tank, what is the

probability that the fish will be blue or yellow?

0.

 Assign a different number to each student, and select 30 students using 

       a random number generator.

A school wants to conduct a survey of its 1200 students to decide

on a school song. Based on the principles of simple random

sampling, which of these is the best method for the school to use

to conduct its survey?

Assign a different number to each student whose age is 16 years or older,

       and select 30 students using a random number generator.

Assign a different number to each student who has been at the school for

       at least one year and select 30 students using a random number generator.

Assign a different number to each student, and select 15 males and 15

      females using a random number generator.

A television station will conduct a survey to determine

the most popular television show in its viewing area.

Which of these methods provides the most

representative sample?

Survey 50 randomly selected people who enter

    the television station.

 Survey 50 randomly selected residents in its

     viewing area.

Survey 50 randomly selected residents from the

    local telephone book.

Survey 50 randomly selected people who leave

    a video rental store.

There are coconut, caramel, and fudge candy in a box. Kevin uses a random

number generator to simulate choosing one piece of candy. The table below

shows the assignment of digits to the types of candy.

Kevin ran the simulation 20 times. The results are shown below:

 

5 1 0 4 4   3 6 2 9 8   7 4 5 6 8   1 6 3 6 5

 

Based on the results of the simulation, what is the probability that a randomly

selected piece of candy is a coconut candy?

    8/20

  10/20

  14/20

    6/20

The test scores of 8 students

are listed in the table.

Which students’ scores would

fall above the third quartile?

 Rhonda and Abe
 Steve and Daniel
 Melanie and Nate
 Abe and Steve
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