Identifying Populations & Calculating Sample Means

A school has 500 students. If a teacher surveys 50 students about their favorite subject, what is the population and what is the sample?

• Population: 100 students; Sample: 50 students

• Population: 50 students; Sample: 500 students

• Population: 500 students; Sample: 25 students

• Population: 500 students; Sample: 50 students

In a city of 10,000 residents, a researcher interviews 200 people to study their eating habits. What is the population and what is the sample?

• Population: 10,000 residents; Sample: 200 interviewed people.

• Population: 10,000 people; Sample: 150 interviewed people.

• Population: 200 interviewed people; Sample: 10,000 residents.

• Population: 5,000 residents; Sample: 200 interviewed people.

A farmer has 1,000 apple trees. He picks 30 trees at random to measure the average number of apples per tree. What is the population and what is the sample?

• Population: 30 apple trees; Sample: 1,000 randomly picked apple trees.

• Population: All apples on the trees; Sample: 30 apple trees.

• Population: 1,000 apple trees; Sample: 30 randomly picked apple trees.

• Population: 30 trees; Sample: 1,000 apple trees.

A basketball coach wants to know the average height of players on his team of 15. He measures the heights of 5 players. What is the population and what is the sample?

• Population: 15 players; Sample: 3 players

• Population: 15 players; Sample: 5 players

• Population: 10 players; Sample: 5 players

• Population: 5 players; Sample: 15 players

In a survey of 300 households in a town of 5,000, the average number of pets per household is found to be 2. What is the sample mean?

• 3

• 2.5

• 1

• 2

A class of 25 students takes a math test. The scores of 5 randomly selected students are 80, 85, 90, 75, and 95. What is the sample mean of these scores?

• 85

• 82

• 88

• 91

A researcher wants to find the average age of people in a community of 1,200. She surveys 100 people. If the ages of the surveyed individuals are 30, 25, 40, 35, and 45, what is the sample mean age?

• 40

• 30

• 35

• 50

A library has 2,000 books. A librarian randomly selects 50 books to evaluate their condition. What is the population and what is the sample?

• Population: 2,000 books; Sample: 50 books.

• Population: 50 books; Sample: 2,000 books.

• Population: 2,500 books; Sample: 50 books.

• Population: 1,000 books; Sample: 50 books.

In a school with 800 students, a principal surveys 100 students about their lunch preferences. If the average number of students preferring pizza is 60, what is the sample mean?

• 60

• 50

• 70

• 80

A sports team has 22 players. If a coach wants to find the average weight of the players and weighs 6 randomly selected players, what is the population and what is the sample?

• Population: 22 players; Sample: 4 randomly selected players.

• Population: 22 players; Sample: 6 randomly selected players.

• Population: 10 players; Sample: 12 players.

• Population: 6 players; Sample: 22 players.