Question

Assessment

Practice
22. Sheila wants to research the colors of houses on a highly populated
street. Which of the following methods could Sheila use to generate
a representative sample? Select all that apply.
Assign each house a number and use a random number generator
to produce a list of houses for the sample.
Choose every house that has at least 3 trees in the front yard.
Choose only the houses of the people you know.
List the house numbers on slips of paper and draw
at least 20% of the numbers out of a box.
Choose all of the houses on the street that have shutters.

Answer 1

Assign each house a number and use a random number generator to produce a list of houses for the sample.

List the house numbers on slips of paper and draw at least 20% of the numbers out of a box.

Explanation:

The following methods could Sheila use to generate a representative sample:

- Assign each house a number and use a random number generator to produce a list of houses for the sample.

- List the house numbers on slips of paper and draw at least 20% of the numbers out of a box.

Both of these methods involve random selection, which helps to ensure that the sample is representative of the population.

The other options do not involve random selection and may introduce bias into the sample:

- Choosing every house that has at least 3 trees in the front yard may bias the sample towards houses with more trees, which may not be representative of the population.

- Choosing only the houses of the people you know may introduce bias towards houses of a certain demographic or socioeconomic group.

- Choosing all of the houses on the street that have shutters may bias the sample towards houses with shutters, which may not be representative of the population.