Exploring Populations and Samples in 7th Grade Math

What defines a population in the context of a study?

• A random selection of individuals

• A specific characteristic of the group

• The entire group being studied

• A small group selected for the study

What is a sample?

• A method to ensure randomness

• A characteristic of the population

• A subset of the population chosen randomly

• The entire group being studied

What makes a sample biased?

• Surveying the entire population

• Selecting a sample based on specific characteristics

• Choosing the sample randomly

• Using a method that ensures randomness

How can randomness in sampling be ensured?

• By surveying only specific types of individuals

• By using a method that does not favor any group

• By selecting a specific group of people

• By choosing the largest possible sample

Which example shows a biased sampling method?

• Surveying all passengers on all flights

• Randomly selecting 100 newspaper subscribers to survey

• Surveying passengers from an on-time flight about their satisfaction

• Randomly selecting customers from a bookstore for a survey

What is an example of an unbiased sample?

• Selecting customers based on their purchase history

• Choosing a flight that was on time for a survey

• Surveying only moviegoers about general entertainment spending

• Randomly picking 100 names from a subscriber list for a survey

Why is the survey from the on-time flight considered biased?

• The flight was randomly chosen

• All passengers were surveyed

• It surveyed too many people

• It only included satisfied customers

What is the problem with surveying moviegoers to understand general entertainment spending?

• It includes too diverse a group

• It covers all state residents equally

• It is a perfectly random sample

• It targets a specific type of entertainment consumer

In the bookstore survey example, why is the sample considered good?

• It targets specific book genres

• It surveys only frequent buyers

• It randomly selects customers from a list

• It includes all customers of the bookstore

Which survey method is likely to produce the most unbiased results?

• Randomly selecting individuals without prior knowledge of their conditions

• Surveying only those who volunteer for the study

• Surveying individuals based on their last purchase

• Choosing individuals from a specific location