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Statistics and Probability

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Lincoln Junior High School asked all of their eighth grade students the question, "What is your favorite sport?" and 20%answered "volleyball". Based on this data, Which of the following conclusions are valid?

a)

20% of all students in the eighth grade at Lincoln Junior High School have volleyball as their favorite sport, but we cannot conclude anything about the percent of the population who have volleyball as their favorite sport.

b)

20% of all the eighth grade at Lincoln Junior High School have sports as their favorite activity.

c)

20% of all the students at Lincoln Junior High School have soccer as their favorite sport.

2.

The Food Company asked all students on the baseball team at Ridgemont High School the question, "Do you like broccoli?" and 15% answered "yes". Based on this data, which of the following conclusions are valid?

a)

15% of the outfielders on the baseball team like broccoli, but we cannot conclude anything about the population.

b)

15% of all students on the baseball team at Ridgemont High School like broccoli.

c)

15% of all the students at Ridgemont High School like broccoli.

3.

Bella wants to conduct a survey to determine how many of the residents of Forks believe in supernatural creatures. Which of the following survey methods will allow Bella to make a valid conclusion about the percentage of residents of Forks that believe in supernatural creatures?

a)

Ask a randomly selected sample of high school students to answer the question anonymously.

b)

Ask a randomly selected sample of residents to answer the question anonymously.

4.

The school board administered a math test to all students in grade 666 at High Achievers Charter School and determined that 15% of them were below grade level in math. Based on this data, which of the following conclusions are valid?

a)

15% of all students at HACS are below grade level in math.

b)

15% of all students in grade 6 at HACS are below grade level in math.

5.

Tasty Treats Baking Company asked a random sample of 100 students in the senior class at Ridgemont High School the question, “Do you prefer chocolate or butterscotch Tasty Treats?” Everyone surveyed had to pick one of the two answers, and 42% said they preferred chocolate.

Based on this data, which of the following conclusions are valid?

a)

About 42% of all students at Ridgemont High prefer chocolate.

b)

About 42% of all the students in the senior class at Ridgemont High prefer chocolate.

c)

42% of this sample preferred chocolate, but we cannot conclude anything about the population

6.

Ron intends to survey spectators at the Quidditch World Championship to find out which team the most spectators support. Which of the following survey methods will allow Ron to make a valid conclusion about which team the most spectators support?

a)

Put the names of all of the spectators who speak the same language as Ron does into a cauldron, mix them up, draw out 75 names, and survey those spectators

b)

Put the names of all of the spectators into a cauldron, mix them up, draw out 75 names, and survey those spectators.

7.

Santos wants to know what percentage of people who get married in his county knew each other in school.

Which of the following survey methods will allow Santos to make a valid conclusion about the percentage of couples married in his county who knew each other in school?

a)

Get a list of the 30 couples most recently married in his county, then ask them.

b)

Sort a list of couples married in his county into a random order, then ask the first 30 couples on the list.

8.

The cafeteria director at Great Minds School wants to know what percent of the students would choose vegetarian entrees if they were available.

Which of the following survey methods will allow the director to make a valid conclusion about the percentage of students who would choose vegetarian entrees

a)

Sort a list of the students into a random order, then ask the first 35 students on the list.

b)

Ask the first 35 students in line for the cafeteria.

9.

The drama teacher wants to know whether more families of students at the school would attend a musical or a comedy.

Which of the following survey methods will allow the drama teacher to make a valid conclusion about which genre of performance more families would attend?

a)

Assign a number to each family, use a computer program to select 20 random numbers between 1 and the total number of families, and ask the families selected.

b)

For each letter of the alphabet, assign a number to each family whose last name begins with that letter, use a computer program to select a random number between 1 and the total number of families whose last name begins with that letter, and ask the family selected.

10.

The curriculum committee at Larchmont High School wants to offer a new elective course next year. They decide to survey Larchmont's 1500 students to determine which course students would prefer. The choices are History of Art, Robotics, and Money and You.

Which of the following survey methods will allow the committee to make a valid conclusion about which course the students at Larchmont prefer?

a)

Ask 150 students in science classes which course they would prefer.

b)

Assign a number to each student, and use a computer program to generate 150 random numbers between 1 and 150. Ask those students whose numbers are selected.