Quick Answer
SAT sample statistics practice questions test whether students can distinguish samples from populations, calculate sample means and proportions, evaluate sampling methods, identify bias, interpret margins of error, and use sample results to estimate population values. This guide includes 70 SAT-style questions that progress from basic definitions to survey design, confidence intervals, population estimates, and harder mixed inference problems.
What Should You Know Before Practicing Sample Statistics?
- A population is the full group of interest.
- A sample is the smaller group actually observed.
- A statistic describes a sample, while a parameter describes a population.
- Random sampling supports population generalization.
- Random assignment supports causal conclusions.
- Larger random samples usually reduce sampling variability.
- Margin of error describes sampling uncertainty, not systematic bias.
In This Guide – 70 SAT Sample Statistics Practice Questions
Start With SAT Math Topic-Wise Practice
Connect sample statistics practice with weekly score planning and targeted SAT Math correction.
Download the SAT Prep Guide E-Book
Use the SAT Prep Guide E-Book to organize sample statistics, survey, probability, and data-analysis practice.
Download SAT Prep E-Book GuideWhat Does the SAT Test in Sample Statistics Questions?
Students may need to identify samples and populations, calculate sample statistics, judge whether a sample is representative, interpret margins of error, or use sample results to estimate population values.
| Skill Area | What It Tests | Questions |
|---|---|---|
| Samples and populations | Population, sample, parameter, statistic | Q1-Q15 |
| Sample calculations | Means and proportions | Q16-Q30 |
| Sampling design | Random samples and bias | Q31-Q45 |
| Inference | Margins of error and estimates | Q46-Q70 |
Download Free SAT Study Resources For U.S. Students
To begin your preparation with organized practice, download our free SAT Prep E-Book, SAT Math Question Bank, and SAT English Question Bank. These tools are intended to assist students in comprehending the style of the Digital SAT, increasing their accuracy, and boosting their self-assurance prior to test day.
How Are Samples and Populations Tested?
These questions distinguish populations, samples, parameters, statistics, censuses, and sampling variability.
SAMPLES AND POPULATIONS
EASY
Question 1
A school has 1,200 students. A researcher surveys 100 students. What is the sample?
Which choice is correct?
A) All 1,200 students
B) The 100 surveyed students
C) The school staff
D) The survey questions
Show full solution
Correct answer: B) The 100 surveyed students
The sample is the group actually surveyed.
SAT trap: Do not confuse the sample with the population.
SAMPLES AND POPULATIONS
EASY
Question 2
In the same study, what is the population?
Which choice is correct?
A) The 100 surveyed students
B) The 1,200 students
C) Only students who respond
D) The researcher
Show full solution
Correct answer: B) The 1,200 students
The population is the full group the study is intended to describe.
SAT trap: The population is broader than the observed sample.
SAMPLES AND POPULATIONS
EASY
Question 3
Which value is a sample statistic?
Which choice is correct?
A) The true mean height of all students
B) The mean height of 80 sampled students
C) The total school enrollment
D) The true proportion of all voters
Show full solution
Correct answer: B) The mean height of 80 sampled students
A statistic is calculated from a sample.
SAT trap: A population value is a parameter.
SAMPLES AND POPULATIONS
EASY
Question 4
Which value is a population parameter?
Which choice is correct?
A) A sample median
B) A sample proportion
C) The true mean income of all households in a city
D) A sample range
Show full solution
Correct answer: C) The true mean income of all households in a city
A parameter describes the entire population.
SAT trap: The word true often signals a parameter.
SAMPLES AND POPULATIONS
EASY
Question 5
Why is a random sample useful?
Which choice is correct?
A) It guarantees the exact parameter
B) It reduces selection bias
C) It removes all variability
D) It makes the population smaller
Show full solution
Correct answer: B) It reduces selection bias
Random selection gives population members a fair chance of inclusion.
SAT trap: Random sampling reduces bias but does not eliminate sampling variability.
SAMPLES AND POPULATIONS
EASY
Question 6
Which sample is most likely representative of a city?
Which choice is correct?
A) Visitors at one gym
B) Customers at one store
C) Residents randomly selected from across the city
D) Volunteers in an online poll
Show full solution
Correct answer: C) Residents randomly selected from across the city
A broad random sample is more representative.
SAT trap: Convenience samples may overrepresent one type of person.
SAMPLES AND POPULATIONS
EASY
Question 7
A census collects information from which group?
Which choice is correct?
A) A sample
B) Every population member
C) Only volunteers
D) One cluster
Show full solution
Correct answer: B) Every population member
A census attempts to include the entire population.
SAT trap: A census is not a sample survey.
SAMPLES AND POPULATIONS
EASY
Question 8
What is sampling variability?
Which choice is correct?
A) Natural differences among statistics from different random samples
B) A calculation error
C) A change in population size
D) Biased wording
Show full solution
Correct answer: A) Natural differences among statistics from different random samples
Different random samples usually produce slightly different statistics.
SAT trap: Sampling variability is expected.
SAMPLES AND POPULATIONS
MEDIUM
Question 9
Which sample size generally gives a more stable estimate?
Which choice is correct?
A) 20
B) 50
C) 500
D) All are equally stable
Show full solution
Correct answer: C) 500
Larger random samples usually have less sampling variability.
SAT trap: Sample quality still matters.
SAMPLES AND POPULATIONS
MEDIUM
Question 10
A sample mean estimates which population value?
Which choice is correct?
A) Population mean
B) Population size
C) Population mode only
D) Population range only
Show full solution
Correct answer: A) Population mean
The sample mean is a point estimate of the population mean.
SAT trap: Match the statistic to the corresponding parameter.
SAMPLES AND POPULATIONS
MEDIUM
Question 11
A sample proportion estimates which population value?
Which choice is correct?
A) Population mean
B) Population proportion
C) Population standard deviation only
D) Population total only
Show full solution
Correct answer: B) Population proportion
The observed sample proportion estimates the true population proportion.
SAT trap: Do not confuse proportions with means.
SAMPLES AND POPULATIONS
MEDIUM
Question 12
Which statement is true about a sample statistic?
Which choice is correct?
A) It never changes
B) It may vary from sample to sample
C) It always equals the parameter
D) It describes every population member directly
Show full solution
Correct answer: B) It may vary from sample to sample
Different samples can yield different statistics.
SAT trap: One statistic is not guaranteed to equal the parameter.
SAMPLES AND POPULATIONS
MEDIUM
Question 13
Why may a census be impractical?
Which choice is correct?
A) It always creates bias
B) It may require too much time and money
C) It cannot estimate a mean
D) It includes too few people
Show full solution
Correct answer: B) It may require too much time and money
Studying every population member can be expensive or slow.
SAT trap: A good sample can be more practical.
SAMPLES AND POPULATIONS
MEDIUM
Question 14
An unbiased estimator has which property?
Which choice is correct?
A) It is exact every time
B) It tends to hit the true parameter on average across many samples
C) It always uses a census
D) It has zero variability
Show full solution
Correct answer: B) It tends to hit the true parameter on average across many samples
An unbiased estimator has no systematic tendency to overestimate or underestimate.
SAT trap: Unbiased does not mean perfect for each sample.
SAMPLES AND POPULATIONS
MEDIUM
Question 15
Which phrase best describes a population?
Which choice is correct?
A) The observed subset
B) The full group of interest
C) The questionnaire
D) The margin of error
Show full solution
Correct answer: B) The full group of interest
The population is the complete target group.
SAT trap: Identify who the conclusion is intended to describe.
Build Stronger SAT Data Analysis Skills
Connect samples, populations, and survey design with real SAT Math practice.
How Are Sample Means and Proportions Calculated?
These questions use sample data to calculate point estimates for population values.
SAMPLE MEANS
MEDIUM
Question 16
A random sample contains 12, 14, 16, 18, 20. What is the sample mean?
Which choice is correct?
A) 14
B) 16
C) 18
D) 20
Show full solution
Correct answer: B) 16
Add the values and divide by 5. The sample mean is 16.
SAT trap: Divide by the number of sampled observations.
SAMPLE MEANS
MEDIUM
Question 17
A random sample contains 8, 10, 12, 14. What is the sample mean?
Which choice is correct?
A) 9
B) 11
C) 13
D) 15
Show full solution
Correct answer: B) 11
Add the values and divide by 4. The sample mean is 11.
SAT trap: Divide by the number of sampled observations.
SAMPLE MEANS
MEDIUM
Question 18
A random sample contains 5, 7, 9, 11, 13. What is the sample mean?
Which choice is correct?
A) 7
B) 9
C) 11
D) 13
Show full solution
Correct answer: B) 9
Add the values and divide by 5. The sample mean is 9.
SAT trap: Divide by the number of sampled observations.
SAMPLE MEANS
MEDIUM
Question 19
A random sample contains 22, 24, 26, 28, 30. What is the sample mean?
Which choice is correct?
A) 24
B) 26
C) 28
D) 30
Show full solution
Correct answer: B) 26
Add the values and divide by 5. The sample mean is 26.
SAT trap: Divide by the number of sampled observations.
SAMPLE MEANS
MEDIUM
Question 20
A random sample contains 4, 6, 8, 10, 12, 14. What is the sample mean?
Which choice is correct?
A) 7
B) 9
C) 11
D) 13
Show full solution
Correct answer: B) 9
Add the values and divide by 6. The sample mean is 9.
SAT trap: Divide by the number of sampled observations.
SAMPLE MEANS
MEDIUM
Question 21
A random sample contains 15, 18, 21. What is the sample mean?
Which choice is correct?
A) 16
B) 18
C) 20
D) 22
Show full solution
Correct answer: B) 18
Add the values and divide by 3. The sample mean is 18.
SAT trap: Divide by the number of sampled observations.
SAMPLE MEANS
MEDIUM
Question 22
A random sample contains 30, 35, 40, 45. What is the sample mean?
Which choice is correct?
A) 35.5
B) 37.5
C) 39.5
D) 41.5
Show full solution
Correct answer: B) 37.5
Add the values and divide by 4. The sample mean is 37.5.
SAT trap: Divide by the number of sampled observations.
SAMPLE MEANS
MEDIUM
Question 23
A random sample contains 7, 9, 9, 11, 14. What is the sample mean?
Which choice is correct?
A) 8
B) 10
C) 12
D) 14
Show full solution
Correct answer: B) 10
Add the values and divide by 5. The sample mean is 10.
SAT trap: Divide by the number of sampled observations.
SAMPLE MEANS
MEDIUM
Question 24
A random sample contains 100, 110, 120, 130. What is the sample mean?
Which choice is correct?
A) 113
B) 115
C) 117
D) 119
Show full solution
Correct answer: B) 115
Add the values and divide by 4. The sample mean is 115.
SAT trap: Divide by the number of sampled observations.
SAMPLE MEANS
MEDIUM
Question 25
A random sample contains 2.5, 3.5, 4.5, 5.5. What is the sample mean?
Which choice is correct?
A) 2
B) 4
C) 6
D) 8
Show full solution
Correct answer: B) 4
Add the values and divide by 4. The sample mean is 4.
SAT trap: Divide by the number of sampled observations.
SAMPLE PROPORTIONS
MEDIUM
Question 26
In a random sample of 50 people, 18 selected an option. What is the sample proportion?
Which choice is correct?
A) 0.26
B) 0.36
C) 0.46
D) 0.64
Show full solution
Correct answer: B) 0.36
Sample proportion = 18/50 = 0.36.
SAT trap: Use the sample total as the denominator.
SAMPLE PROPORTIONS
MEDIUM
Question 27
In a random sample of 80 people, 28 selected an option. What is the sample proportion?
Which choice is correct?
A) 0.25
B) 0.35
C) 0.45
D) 0.65
Show full solution
Correct answer: B) 0.35
Sample proportion = 28/80 = 0.35.
SAT trap: Use the sample total as the denominator.
SAMPLE PROPORTIONS
MEDIUM
Question 28
In a random sample of 120 people, 42 selected an option. What is the sample proportion?
Which choice is correct?
A) 0.25
B) 0.35
C) 0.45
D) 0.65
Show full solution
Correct answer: B) 0.35
Sample proportion = 42/120 = 0.35.
SAT trap: Use the sample total as the denominator.
SAMPLE PROPORTIONS
MEDIUM
Question 29
In a random sample of 200 people, 74 selected an option. What is the sample proportion?
Which choice is correct?
A) 0.27
B) 0.37
C) 0.47
D) 0.63
Show full solution
Correct answer: B) 0.37
Sample proportion = 74/200 = 0.37.
SAT trap: Use the sample total as the denominator.
SAMPLE PROPORTIONS
MEDIUM
Question 30
In a random sample of 75 people, 30 selected an option. What is the sample proportion?
Which choice is correct?
A) 0.3
B) 0.4
C) 0.5
D) 0.6
Show full solution
Correct answer: B) 0.4
Sample proportion = 30/75 = 0.4.
SAT trap: Use the sample total as the denominator.
How Are Sampling Methods and Bias Tested?
These questions evaluate random, systematic, stratified, cluster, convenience, and voluntary-response samples.
SAMPLING METHODS AND BIAS
MEDIUM
Question 31
A researcher selects every 20th name after a random starting point. What method is used?
Which choice is correct?
A) Convenience
B) Systematic
C) Voluntary response
D) Census
Show full solution
Correct answer: B) Systematic
Selecting every kth member after a random start is systematic sampling.
SAT trap: Do not confuse systematic with convenience sampling.
SAMPLING METHODS AND BIAS
MEDIUM
Question 32
A school randomly selects students from each grade. What method is used?
Which choice is correct?
A) Cluster
B) Stratified
C) Convenience
D) Voluntary response
Show full solution
Correct answer: B) Stratified
The population is divided into grades, and each grade is sampled.
SAT trap: Stratified sampling includes members from every subgroup.
SAMPLING METHODS AND BIAS
MEDIUM
Question 33
A city randomly selects 5 neighborhoods and surveys every household in them. What method is used?
Which choice is correct?
A) Cluster
B) Stratified
C) Convenience
D) Census
Show full solution
Correct answer: A) Cluster
Whole groups, or clusters, are selected.
SAT trap: Cluster sampling selects groups rather than individuals from every group.
SAMPLING METHODS AND BIAS
MEDIUM
Question 34
A website allows visitors to choose whether to answer a poll. What is the main concern?
Which choice is correct?
A) Voluntary response bias
B) Random assignment
C) Census error
D) Placebo effect
Show full solution
Correct answer: A) Voluntary response bias
People with strong opinions may be more likely to respond.
SAT trap: Self-selection can distort results.
SAMPLING METHODS AND BIAS
MEDIUM
Question 35
A teacher surveys only students in the front row. What problem is most likely?
Which choice is correct?
A) Convenience sampling bias
B) Perfect randomization
C) Large margin of error only
D) Cluster sampling
Show full solution
Correct answer: A) Convenience sampling bias
The front row is easy to reach but may not represent the class.
SAT trap: Easy access does not imply representativeness.
SAMPLING METHODS AND BIAS
MEDIUM
Question 36
A phone survey calls only landlines. What is the main concern?
Which choice is correct?
A) Undercoverage
B) Overcoverage
C) Random assignment
D) Placebo effect
Show full solution
Correct answer: A) Undercoverage
People without landlines cannot be selected.
SAT trap: Undercoverage excludes part of the population.
SAMPLING METHODS AND BIAS
MEDIUM
Question 37
A question asks, ‘Don’t you agree the policy is unfair?’ What is the concern?
Which choice is correct?
A) Leading-question bias
B) Random sampling
C) Cluster sampling
D) Sample size
Show full solution
Correct answer: A) Leading-question bias
The wording encourages a particular answer.
SAT trap: Biased wording can affect responses.
SAMPLING METHODS AND BIAS
MEDIUM
Question 38
A study of all students surveys only athletes. What is the problem?
Which choice is correct?
A) The sample may not represent all students
B) The sample is too random
C) The population is too small
D) There is no issue
Show full solution
Correct answer: A) The sample may not represent all students
Athletes may differ from nonathletes.
SAT trap: A subgroup cannot automatically represent the full population.
SAMPLING METHODS AND BIAS
MEDIUM
Question 39
Which action best reduces nonresponse bias?
Which choice is correct?
A) Follow up with selected nonresponders
B) Survey only volunteers
C) Reduce the sample size
D) Ignore missing responses
Show full solution
Correct answer: A) Follow up with selected nonresponders
Follow-up can improve response rates and reduce systematic differences.
SAT trap: Nonresponse may bias results.
SAMPLING METHODS AND BIAS
MEDIUM
Question 40
Which design best supports generalizing to a population?
Which choice is correct?
A) A random sample from the target population
B) A convenience sample
C) A voluntary poll
D) A survey of friends
Show full solution
Correct answer: A) A random sample from the target population
Random sampling supports population generalization.
SAT trap: A large biased sample is still biased.
SAMPLING METHODS AND BIAS
HARD
Question 41
Which design best supports a causal conclusion?
Which choice is correct?
A) Random assignment in an experiment
B) Random sampling only
C) A census without treatment assignment
D) A convenience survey
Show full solution
Correct answer: A) Random assignment in an experiment
Random assignment helps balance lurking variables.
SAT trap: Random sampling and random assignment have different purposes.
SAMPLING METHODS AND BIAS
HARD
Question 42
A survey misses students absent that day. What issue may result?
Which choice is correct?
A) Undercoverage or nonresponse
B) Perfect representation
C) Random assignment
D) Increased precision automatically
Show full solution
Correct answer: A) Undercoverage or nonresponse
Absent students may differ from present students.
SAT trap: Missing a group can bias the result.
SAMPLING METHODS AND BIAS
HARD
Question 43
A company surveys only customers who completed a purchase. Who is undercovered?
Which choice is correct?
A) Nonbuyers
B) Buyers
C) Employees
D) Suppliers
Show full solution
Correct answer: A) Nonbuyers
Visitors who did not purchase are excluded.
SAT trap: Define the target population before judging coverage.
SAMPLING METHODS AND BIAS
HARD
Question 44
Why is a simple random sample useful?
Which choice is correct?
A) Every sample of a given size has an equal chance
B) It includes everyone
C) It guarantees exact results
D) It removes all variability
Show full solution
Correct answer: A) Every sample of a given size has an equal chance
This selection property helps reduce systematic bias.
SAT trap: Randomness does not remove sampling variability.
SAMPLING METHODS AND BIAS
HARD
Question 45
Which sample is most likely biased?
Which choice is correct?
A) 200 randomly selected voters
B) Every 50th customer after a random start
C) 500 volunteers in a newspaper poll
D) Random students from each grade
Show full solution
Correct answer: C) 500 volunteers in a newspaper poll
Volunteers may differ from nonvolunteers.
SAT trap: Large size does not fix voluntary response bias.
Practice More SAT Problem-Solving and Data Analysis
Build accuracy with sampling methods, bias, and population estimates.
How Are Margin of Error and Confidence Intervals Interpreted?
These questions use point estimates, interval endpoints, and sample size to reason about precision.
MARGIN OF ERROR AND INTERVALS
HARD
Question 46
A poll estimates 52% support with a margin of error of 3 points. What interval is reasonable?
Which choice is correct?
A) 49% to 55%
B) 52% to 55%
C) 3% to 52%
D) 49% to 52%
Show full solution
Correct answer: A) 49% to 55%
Subtract and add 3 percentage points.
SAT trap: Margin of error extends in both directions.
MARGIN OF ERROR AND INTERVALS
HARD
Question 47
An estimate is 41% with margin of error 4 points. Which value is outside the interval?
Which choice is correct?
A) 38%
B) 41%
C) 44%
D) 47%
Show full solution
Correct answer: D) 47%
The interval is 37% to 45%.
SAT trap: Build the interval before checking values.
MARGIN OF ERROR AND INTERVALS
HARD
Question 48
Which change usually reduces margin of error?
Which choice is correct?
A) Smaller sample
B) Larger random sample
C) More biased wording
D) More volunteers
Show full solution
Correct answer: B) Larger random sample
Larger random samples usually reduce sampling variability.
SAT trap: Sample design still matters.
MARGIN OF ERROR AND INTERVALS
HARD
Question 49
Survey A samples 100 people and Survey B samples 1,000 using the same method. Which likely has the smaller margin of error?
Which choice is correct?
A) Survey A
B) Survey B
C) Equal
D) Cannot be determined
Show full solution
Correct answer: B) Survey B
The larger sample is generally more precise.
SAT trap: Precision usually improves with sample size.
MARGIN OF ERROR AND INTERVALS
HARD
Question 50
A confidence interval is 68 to 74. What is the point estimate at the center?
Which choice is correct?
A) 3
B) 68
C) 71
D) 74
Show full solution
Correct answer: C) 71
The midpoint is (68+74)/2=71.
SAT trap: The point estimate is the interval center.
MARGIN OF ERROR AND INTERVALS
HARD
Question 51
A confidence interval is 120 to 136. What is the margin of error?
Which choice is correct?
A) 8
B) 16
C) 128
D) 256
Show full solution
Correct answer: A) 8
The interval width is 16, so the margin is half, 8.
SAT trap: Margin of error is half the interval width.
MARGIN OF ERROR AND INTERVALS
HARD
Question 52
A sample estimate is 35 with margin of error 6. What is the interval?
Which choice is correct?
A) 29 to 41
B) 35 to 41
C) 6 to 35
D) 29 to 35
Show full solution
Correct answer: A) 29 to 41
Compute 35-6 and 35+6.
SAT trap: Use both endpoints.
MARGIN OF ERROR AND INTERVALS
HARD
Question 53
A poll reports 48% support with margin of error 5 points. Is 52% plausible?
Which choice is correct?
A) Yes
B) No
C) Only for a census
D) Cannot be checked
Show full solution
Correct answer: A) Yes
The interval is 43% to 53%, which includes 52%.
SAT trap: Check whether the value lies inside the interval.
MARGIN OF ERROR AND INTERVALS
HARD
Question 54
A poll reports 48% support with margin of error 2 points. Is 52% plausible?
Which choice is correct?
A) Yes
B) No
C) Always
D) Cannot be checked
Show full solution
Correct answer: B) No
The interval is 46% to 50%, which excludes 52%.
SAT trap: Use the stated margin.
MARGIN OF ERROR AND INTERVALS
HARD
Question 55
What does margin of error describe?
Which choice is correct?
A) Expected sampling uncertainty
B) Selection bias
C) Question wording
D) Causation
Show full solution
Correct answer: A) Expected sampling uncertainty
Margin of error reflects random sampling variability.
SAT trap: It does not repair systematic bias.
What Do Hard Mixed Sample Statistics Questions Look Like?
These questions combine population estimation, survey design, causal inference, bias, and sampling variability.
HARD MIXED SAMPLE STATISTICS
HARD
Question 56
A random sample of 200 students has mean study time 6.2 hours. What is the best estimate of the population mean?
Which choice is correct?
A) 3.1
B) 6.2
C) 12.4
D) 200
Show full solution
Correct answer: B) 6.2
Use the sample mean as the point estimate.
SAT trap: Do not multiply the mean by sample size.
HARD MIXED SAMPLE STATISTICS
HARD
Question 57
In a random sample of 500 voters, 285 support a candidate. About how many of 20,000 voters are expected to support the candidate?
Which choice is correct?
A) 5,700
B) 10,000
C) 11,400
D) 14,250
Show full solution
Correct answer: C) 11,400
285/500=0.57, and 0.57×20,000=11,400.
SAT trap: Project using the sample proportion.
HARD MIXED SAMPLE STATISTICS
HARD
Question 58
A sample proportion is 0.64 based on 250 people. How many selected the option?
Which choice is correct?
A) 64
B) 125
C) 160
D) 186
Show full solution
Correct answer: C) 160
0.64×250=160.
SAT trap: Multiply proportion by sample size.
HARD MIXED SAMPLE STATISTICS
HARD
Question 59
A sample mean is 48 based on 25 observations. What is the total of the sample values?
Which choice is correct?
A) 73
B) 192
C) 1,200
D) 2,400
Show full solution
Correct answer: C) 1,200
48×25=1,200.
SAT trap: Mean is not the total.
HARD MIXED SAMPLE STATISTICS
HARD
Question 60
A random sample estimates a mean of 72 with margin of error 5. Which population mean is not plausible?
Which choice is correct?
A) 68
B) 72
C) 76
D) 80
Show full solution
Correct answer: D) 80
The interval is 67 to 77.
SAT trap: Use the interval endpoints.
HARD MIXED SAMPLE STATISTICS
HARD
Question 61
A random sample has only a 30% response rate. What concern remains?
Which choice is correct?
A) Nonresponse bias
B) Placebo effect
C) Random assignment
D) Standard deviation
Show full solution
Correct answer: A) Nonresponse bias
Responders may differ from nonresponders.
SAT trap: Random selection does not solve low response.
HARD MIXED SAMPLE STATISTICS
HARD
Question 62
A very large convenience sample produces an estimate. Which statement is best?
Which choice is correct?
A) Large size guarantees accuracy
B) Bias may remain
C) Margin of error is zero
D) It is a census
Show full solution
Correct answer: B) Bias may remain
Large size reduces random variability but not systematic bias.
SAT trap: Size cannot fix poor selection.
HARD MIXED SAMPLE STATISTICS
HARD
Question 63
A study randomly assigns treatments but uses volunteers from one school. What is best supported?
Which choice is correct?
A) Causation for participants
B) Generalization nationwide
C) A census conclusion
D) No comparison
Show full solution
Correct answer: A) Causation for participants
Random assignment supports causation, but the volunteer sample limits generalization.
SAT trap: Separate causation from generalization.
HARD MIXED SAMPLE STATISTICS
HARD
Question 64
A study randomly samples residents but does not assign treatments. What is best supported?
Which choice is correct?
A) A causal effect
B) Generalization of observed associations
C) Proof of no lurking variables
D) An experimental conclusion
Show full solution
Correct answer: B) Generalization of observed associations
Random sampling supports generalization, not causation.
SAT trap: Random sampling is not random assignment.
HARD MIXED SAMPLE STATISTICS
HARD
Question 65
Two unbiased estimators target the same parameter. Estimator A has less variability. Which is preferred?
Which choice is correct?
A) Estimator A
B) Estimator B
C) Neither
D) The smaller sample
Show full solution
Correct answer: A) Estimator A
With equal bias, lower variability gives greater precision.
SAT trap: Compare bias and variability together.
What Do Student-Produced Response Questions Look Like?
Enter the requested sample mean, proportion, endpoint, midpoint, or total.
STUDENT-PRODUCED RESPONSE
MEDIUM
Question 66
A random sample contains 8, 10, 12, and 14. What is the sample mean?
Enter your answer.
Show full solution
Correct answer: 11
The sum is 44, and 44/4=11.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSE
MEDIUM
Question 67
In a sample of 80 people, 28 selected an option. What is the sample proportion as a decimal?
Enter your answer.
Show full solution
Correct answer: 0.35
28/80=0.35.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSE
MEDIUM
Question 68
A survey estimate is 62% with margin of error 4 points. What is the lower endpoint?
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Correct answer: 58
62-4=58.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSE
MEDIUM
Question 69
A confidence interval is 40 to 52. What is the point estimate?
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Correct answer: 46
The midpoint is 46.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSE
MEDIUM
Question 70
A sample mean is 24 for 15 observations. What is the total?
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Correct answer: 360
24×15=360.
SAT trap: Enter only the requested numerical value.
Common SAT Sample Statistics Mistakes
| Mistake | Correction |
|---|---|
| Confusing sample with population | Identify the observed group and the target group |
| Trusting a large biased sample | Evaluate selection method first |
| Confusing sampling with assignment | Sampling supports generalization; assignment supports causation |
| Using margin of error to fix bias | Margin of error covers random sampling uncertainty only |
Two-Week SAT Sample Statistics Study Plan
| Days | Focus |
|---|---|
| 1-3 | Q1-Q15: samples and populations |
| 4-6 | Q16-Q30: sample calculations |
| 7-10 | Q31-Q45: sampling and bias |
| 11-12 | Q46-Q55: margin of error |
| 13-14 | Q56-Q70 and review |
Frequently Asked Questions About SAT Sample Statistics Practice Questions
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