What is the main difference between a population and a sample?

• A population is a smaller group chosen from a sample.

• A sample includes the entire group being studied.

• A sample is a subset used to represent a larger population.

• A population is chosen randomly from a sample.

Why is random sampling important in statistics?

• It ensures that the sample is representative of the population.

• It guarantees every sample has the same results.

• It only works for small populations.

• It allows researchers to survey the whole population.

If 30% of a sample of 200 students prefer math, how many in a school of 1,000 likely prefer math?

• 200

• 250

• 300

• 350

A school surveys students by grade level. What type of sampling is this?

• Simple random sampling

• Systematic sampling

• Convenience sampling

• Stratified sampling

A researcher surveys 300 students from a school of 1,500. What is the sample?

• All students in the school

• The 1,500 students

• The 300 surveyed students

• The number of students who responded

A researcher selects every 5th customer in a store survey. What sampling method is this?

• Stratefied

• Systematic

• Random

• Cluster

A survey finds 15% of 500 people prefer online shopping. How many in a town of 10,000 likely prefer online shopping?

• 500

• 750

• 1,500

• 3,000

A survey is conducted to estimate citywide opinions. Which sample is most representative?

• A group of volunteers from one neighborhood

• Randomly selected residents from different parts of the city

• Customers at a local coffee shop

• Only people who voted in the last election.

Which of the following could lead to a biased sample?

• Asking only students in one class about school lunches

• Using a random number generator

• Selecting every 10th person in a population

• Choosing a representative sample.

A scientist counts 40, 45, 50, and 55 birds in 4 sample areas. What is the best estimate for 100 areas?

• 4,500

• 5,000

• 5,500

• 6,000