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Statistics Practice Tests

These Grade 12 Math practice tests cover descriptive statistics, center and spread, data displays, sampling, bias, z-scores, normal distributions, sampling distributions, confidence intervals, hypothesis testing, correlation, and regression.

Skills covered

  • Computing and interpreting mean, median, range, variance, standard deviation, quartiles, and z-scores
  • Choosing and reading histograms, box plots, scatterplots, residual plots, and summary measures
  • Evaluating random samples, bias, undercoverage, nonresponse, and representative data collection
  • Using normal models, the empirical rule, standard error, and sampling distributions
  • Interpreting confidence intervals, p-values, errors, correlation, regression, residuals, and causation limits

How to use these practice tests

Identify the population, sample, variable, and statistical question first. Then choose the appropriate display or measure and state what the numerical result means in context.

For more Grade 12 Math practice, return to the Grade 12 Math category.

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Grade 12 Statistics Practice Tests

Practice Grade 12 Math questions about center, spread, data displays, sampling, bias, z-scores, normal distributions, sampling distributions, confidence intervals, hypothesis tests, correlation, and regression.

Choose the best answer. Identify the data type and statistical goal, calculate with the correct measure, and interpret the result in context.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What is a confidence interval designed to estimate?

Please select an answer first.

Correct answer: A

The correct answer is A population parameter.

  1. Identify the statistical structure: Determine whether the question concerns center, spread, a display, sampling, association, a distribution, or inference.
  2. Apply the statistical measure: An interval uses sample information to estimate an unknown population quantity.
  3. Interpret the result in context: The correct answer is A population parameter.

An interval uses sample information to estimate an unknown population quantity.

2. QuestionMultiple choice

What happens to a confidence interval when confidence level increases, all else equal?

Please select an answer first.

Correct answer: B

The correct answer is It becomes wider.

  1. Identify the statistical structure: Determine whether the question concerns center, spread, a display, sampling, association, a distribution, or inference.
  2. Apply the statistical measure: More confidence requires a larger margin of error.
  3. Interpret the result in context: The correct answer is It becomes wider.

More confidence requires a larger margin of error.

3. QuestionMultiple choice

What does a 95% confidence level mean in repeated sampling?

Please select an answer first.

Correct answer: C

The correct answer is About 95% of similarly constructed intervals would capture the true parameter.

  1. Identify the statistical structure: Determine whether the question concerns center, spread, a display, sampling, association, a distribution, or inference.
  2. Apply the statistical measure: The confidence statement concerns the long-run performance of the interval procedure.
  3. Interpret the result in context: The correct answer is About 95% of similarly constructed intervals would capture the true parameter.

The confidence statement concerns the long-run performance of the interval procedure.

4. QuestionMultiple choice

What is the margin of error?

Please select an answer first.

Correct answer: D

The correct answer is The distance from an estimate to an endpoint of its interval.

  1. Identify the statistical structure: Determine whether the question concerns center, spread, a display, sampling, association, a distribution, or inference.
  2. Apply the statistical measure: A confidence interval is estimate ± margin of error.
  3. Interpret the result in context: The correct answer is The distance from an estimate to an endpoint of its interval.

A confidence interval is estimate ± margin of error.

5. QuestionMultiple choice

What is the null hypothesis?

Please select an answer first.

Correct answer: A

The correct answer is A baseline claim tested against evidence.

  1. Identify the statistical structure: Determine whether the question concerns center, spread, a display, sampling, association, a distribution, or inference.
  2. Apply the statistical measure: The null usually represents no difference or no association.
  3. Interpret the result in context: The correct answer is A baseline claim tested against evidence.

The null usually represents no difference or no association.

6. QuestionMultiple choice

What does a small p-value suggest?

Please select an answer first.

Correct answer: B

The correct answer is The data would be unusual if the null hypothesis were true.

  1. Identify the statistical structure: Determine whether the question concerns center, spread, a display, sampling, association, a distribution, or inference.
  2. Apply the statistical measure: A small p-value provides evidence against the null, not proof of a large effect.
  3. Interpret the result in context: The correct answer is The data would be unusual if the null hypothesis were true.

A small p-value provides evidence against the null, not proof of a large effect.

7. QuestionMultiple choice

What is a Type I error?

Please select an answer first.

Correct answer: C

The correct answer is Rejecting a true null hypothesis.

  1. Identify the statistical structure: Determine whether the question concerns center, spread, a display, sampling, association, a distribution, or inference.
  2. Apply the statistical measure: A Type I error is a false positive.
  3. Interpret the result in context: The correct answer is Rejecting a true null hypothesis.

A Type I error is a false positive.

8. QuestionMultiple choice

What is a Type II error?

Please select an answer first.

Correct answer: D

The correct answer is Failing to reject a false null hypothesis.

  1. Identify the statistical structure: Determine whether the question concerns center, spread, a display, sampling, association, a distribution, or inference.
  2. Apply the statistical measure: A Type II error is a false negative.
  3. Interpret the result in context: The correct answer is Failing to reject a false null hypothesis.

A Type II error is a false negative.

9. QuestionMultiple choice

What does statistical significance not necessarily imply?

Please select an answer first.

Correct answer: A

The correct answer is Practical importance.

  1. Identify the statistical structure: Determine whether the question concerns center, spread, a display, sampling, association, a distribution, or inference.
  2. Apply the statistical measure: A tiny effect can be statistically significant with a large enough sample.
  3. Interpret the result in context: The correct answer is Practical importance.

A tiny effect can be statistically significant with a large enough sample.

10. QuestionMultiple choice

Why should a hypothesis test state its significance level before analysis?

Please select an answer first.

Correct answer: B

The correct answer is To control the decision rule and reduce selective reporting.

  1. Identify the statistical structure: Determine whether the question concerns center, spread, a display, sampling, association, a distribution, or inference.
  2. Apply the statistical measure: A preset alpha makes the evidence threshold explicit.
  3. Interpret the result in context: The correct answer is To control the decision rule and reduce selective reporting.

A preset alpha makes the evidence threshold explicit.

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