Question

which scenarios describe data collected in a biased way? select all that apply. a principal interviewed the 25 students who scored highest on a reading test. without looking, trey picked 10 numbers from a bag containing 100 raffle tickets. kiara put the names of all the students in her school into a hat. then she drew 5 names. for a report on the exercise habits of adults, sergio talked to 30 adults at a local fitness center. josh asked the first 25 people he met at the dog park if they preferred dogs or cats.

Explanation:

1. Josh: Sampling only people at the dog - park is a bias as this group is likely to have a preference for dogs over cats. It's a form of selection bias.
2. Sergio: Interviewing only adults at a local fitness center for exercise habits is a bias since the sample is limited to fitness - center goers and may not represent all adults. It's a selection bias.
3. Kiara: Putting all student names in a hat and drawing a sample is a random sampling method and is not biased.
4. Trey: Picking numbers from a bag containing 100 raffle tickets without looking is a random sampling method and is not biased.
5. Principal: Interviewing only the 25 students who scored highest on a reading test is a bias as it only focuses on high - performing students and does not represent all students. It's a form of selection bias.

Answer:

• Josh asked the first 25 people he met at the dog park if they preferred dogs or cats.
• For a report on the exercise habits of adults, Sergio talked to 30 adults at a local fitness center.
• A principal interviewed the 25 students who scored highest on a reading test.