Random Sampling and Representativeness Quiz

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| By Thames
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Quizzes Created: 7252 | Total Attempts: 9,525,313
| Questions: 20 | Updated: Nov 16, 2025
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1) A school wants to estimate the average number of hours students spend on homework per night. Which sampling method is most likely to produce a representative sample?

Explanation

A random number generator gives a random sample of students from the whole school, making it more representative.

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About This Quiz
Random Sampling And Representativeness Quiz - Quiz

This quiz dives deeper into the concept of random sampling, highlighting techniques to reduce bias and ensure representativeness. Questions explore various sampling methods like simple random sampling, systematic sampling, and stratified sampling. You'll also tackle common biases like voluntary response bias and coverage bias, and learn how to avoid them... see moreto ensure a more accurate representation of the population. see less

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2) Which scenario best describes a biased sample?

Explanation

Only math club students are surveyed, so students who like math more are overrepresented → biased.

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3) A student claims that a sample of 30 randomly selected students is “too small to be random.” What is the best response?

Explanation

Randomness is about selection method, not size.

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4) A survey is sent only to students with school email addresses ending in “honors.school.org.” What type of bias is most likely introduced?

Explanation

Only honors students are covered; others excluded → coverage bias.

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5) Which method best reduces nonresponse bias in a mailed survey?

Explanation

Reminders/incentives improve response rates.

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6) A district wants to estimate the percentage of parents satisfied with school lunches. Which plan is most likely to yield a random sample?

Explanation

Random selection from full list gives fair chance.

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7) You want to minimize sampling variability. Which helps most?

Explanation

Larger random sample reduces variability.

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8) A researcher selects every 10th student entering the school after a randomly chosen starting point. What sampling method is this?

Explanation

Every kth after random start = systematic sampling.

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9) A survey asks, “Do you agree that the excellent new policy should continue?” What issue is most present?

Explanation

Word 'excellent' leads respondents.

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10) In a school of 1,200 students, a simple random sample of 60 is chosen. Which statement is true about sampling variability?

Explanation

Random samples differ slightly due to sampling variability.

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11) Which plan is most likely to produce a sample with coverage bias?

Explanation

Plan A uses only newsletter subscribers → coverage bias.

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12) Which plan is most likely to be both random and representative across neighborhoods?

Explanation

Plan D uses stratified sampling by neighborhood.

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13) Which plan is most strongly affected by voluntary response bias?

Explanation

Plan C uses volunteers at a festival → voluntary response.

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14) Which plan best reduces sampling variability for neighborhood-level estimates?

Explanation

Stratified sampling reduces variability.

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15) A teacher wants to estimate the fraction of students who prefer project-based assessments. Which method is stratified sampling?

Explanation

Stratified = sample within each grade.

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16) A school posts a survey on the website. Biggest concern?

Explanation

Self-selected participation → voluntary response bias.

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17) In which situation is a convenience sample acceptable?

Explanation

Convenience sampling okay when not generalizing.

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18) Two students each take a simple random sample of 50 students and get means 22 and 26 minutes. Best interpretation?

Explanation

Different random samples differ slightly.

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19) A surveyor randomly selects 100 households but only 40 respond. What reduces nonresponse bias?

Explanation

Follow-ups increase response rate.

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20) A district wants estimates for each school and overall. Best sampling plan?

Explanation

Stratifying gives school-level + overall estimates.

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A school wants to estimate the average number of hours students spend...
Which scenario best describes a biased sample?
A student claims that a sample of 30 randomly selected students is...
A survey is sent only to students with school email addresses ending...
Which method best reduces nonresponse bias in a mailed survey?
A district wants to estimate the percentage of parents satisfied with...
You want to minimize sampling variability. Which helps most?
A researcher selects every 10th student entering the school after a...
A survey asks, “Do you agree that the excellent new policy should...
In a school of 1,200 students, a simple random sample of 60 is chosen....
Which plan is most likely to produce a sample with coverage bias?
Which plan is most likely to be both random and representative across...
Which plan is most strongly affected by voluntary response bias?
Which plan best reduces sampling variability for neighborhood-level...
A teacher wants to estimate the fraction of students who prefer...
A school posts a survey on the website. Biggest concern?
In which situation is a convenience sample acceptable?
Two students each take a simple random sample of 50 students and get...
A surveyor randomly selects 100 households but only 40 respond. What...
A district wants estimates for each school and overall. Best sampling...
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