7.SP.1a Representative Sample

a sample that does not accurately represent the population

• population

• sample

• random sample

• biased sample

The city council in Middlefield wants to know if residents are in favor of a traffic camera at the main intersection in town. Which example is likely to produce a representative sample?

• Drivers who reside in Middlefield

• Residents randomly chosen from the town register

• All residents of Middlefield

• All people with a five-letter last name

To predict the performance of her first period class on their next quiz, a teacher randomly selects eight students from the class and takes the mean of their scores on the last quiz. Is this sample representative of the​ class's performance on the quiz?

• ​No, because the students were chosen from the best students in the class.

• ​Yes, because the students were chosen based on their class average.

• ​No, because it is a simple random sample.

• ​Yes, because it is a simple random sample.

To try to predict the outcome of the vote for the school board election school board election​, a town manager used random numbers to pick 100 registered voters. She then called these voters and asked how they planned to vote. Is the sample taken in this problem representative of the population?

• No, because it does not contain the same number of subjects as the population.

• ​Yes, because it is a systematic sample.

• ​Yes, because it is a simple random sample.

• ​Yes, because it contains the same number of subjects as the population.

Biased or Unbiased?

John wants to find out what the favorite soda flavor is at Menifee County. He decides to ask all the students in Mr. Goldsmith's class as a sample group.

• Biased

• Unbiased

Biased or Unbiased?

Reign wants to determine the most popular brand of cereal in all of Kentucky. So he polls all the houses on his street to get a sample.

• Biased

• Unbiased

Biased or Unbiased?

Audi wants to find out how students get to school at Menifee Elementary so she places the names of all students into a fish bowl and pulls out 50 so she can survey them.

• Biased

• Unbiased

Biased or Unbiased?

Spencer wants to determine who the most popular Twitch.tv streamer in the United States is. So he hacks the U.S. Census and includes the question in the 2020 census form that goes to every household in America.

• Biased

• Unbiased

What are two ways that we can help maximize representation and minimize bias within our samples? (choose 2 answers)

• By selecting survey participants who are easy to contact.

• By selecting survey participants at random.

• By using data collected from participants who chose to respond to a survey voluntarily.

• By ensuring that everyone within a population has an equal chance of being chosen to participate in a survey.

A survey was distributed to determine food preferences for Middle School students. Which sample is most the representative for this survey?

• A group of High School students during a PE class.

• A group of parents of local Middle School students.

• 10 Elementary School students from each of the 5 local Elementary Schools.

• 20 randomly selected students from 6th, 7th, and 8th grade from each local Middle School.