Understanding Sampling Techniques

Which of the following is a characteristic of a simple random sample?

• Every member of the population has an equal chance of being selected.

• The population is divided into strata before sampling.

• Samples are chosen based on convenience.

• The sample is chosen based on a specific characteristic.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

What is the main purpose of stratified sampling?

• To ensure that the sample is easy to collect.

• To ensure that specific groups within a population are represented.

• To select a sample randomly without any specific criteria.

• To reduce the cost of sampling.

Tags

CCSS.HSS.IC.B.3

Which of the following scenarios best represents a simple random sample?

• Selecting 50 students from a list of names by drawing names from a hat.

• Choosing the first 50 students who arrive at school.

• Selecting 50 male and 50 female students from a school.

• Picking students based on their grade point averages.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

In stratified sampling, what is the next step after dividing the population into strata?

• Choose a convenience sample from each stratum.

• Randomly select a sample from each stratum.

• Combine all strata and select a simple random sample.

• Select the largest stratum and only sample from it.

Tags

CCSS.HSS.IC.B.3

Which of the following is an advantage of stratified sampling over simple random sampling?

• It is easier to implement.

• It ensures a more diverse sample.

• It requires less knowledge about the population.

• It ensures that every subgroup is represented proportionally.

Tags

CCSS.HSS.IC.B.3

A researcher wants to ensure that both urban and rural populations are represented in a study about health behaviors. Which sampling method should the researcher use?

• Simple random sampling

• Stratified sampling

• Convenience sampling

• Quota sampling

Tags

CCSS.HSS.IC.B.3

What is a limitation of simple random sampling?

• It can be time-consuming and expensive.

• It does not ensure representation of all subgroups.

• It requires a detailed list of all subgroups in the population.

• It often leads to larger sample sizes than necessary.

Tags

CCSS.HSS.IC.B.3

In which scenario would stratified sampling be less effective than simple random sampling?

• When the population is homogeneous.

• When there are clear, distinct subgroups within the population.

• When the researcher wants to ensure representation of minority groups.

• When the population size is very small.

How does stratified sampling improve the accuracy of the sample results?

• By reducing the sample size needed for accurate results.

• By ensuring that every member of the population has an equal chance of being selected.

• By minimizing sampling bias through proportional representation of subgroups.

• By selecting only the most accessible members of the population.

Tags

CCSS.HSS.IC.B.3

Which of the following best describes the difference between simple random sampling and stratified sampling?

• Simple random sampling divides the population into strata, while stratified sampling does not.

• Stratified sampling can only be used when the population size is known.

• Simple random sampling gives every individual an equal chance of being selected, whereas stratified sampling ensures representation from different subgroups.

• Stratified sampling is less time-consuming and more cost-effective than simple random sampling.