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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

Which graph is best for displaying the distribution of one quantitative variable?

Please select an answer first.

Correct answer: A

The correct answer is Histogram.

  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 histogram groups numerical values into intervals.
  3. Interpret the result in context: The correct answer is Histogram.

A histogram groups numerical values into intervals.

2. QuestionMultiple choice

What does a box plot display directly?

Please select an answer first.

Correct answer: B

The correct answer is Median, quartiles, and possible outliers.

  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 box plot shows the five-number summary and can flag outliers.
  3. Interpret the result in context: The correct answer is Median, quartiles, and possible outliers.

A box plot shows the five-number summary and can flag outliers.

3. QuestionMultiple choice

What does a scatterplot display?

Please select an answer first.

Correct answer: C

The correct answer is The relationship between two quantitative variables.

  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: Each point represents a paired observation.
  3. Interpret the result in context: The correct answer is The relationship between two quantitative variables.

Each point represents a paired observation.

4. QuestionMultiple choice

What does a strong positive association mean?

Please select an answer first.

Correct answer: D

The correct answer is Larger x values tend to accompany larger y values.

  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: Positive association describes an upward pattern, not necessarily causation.
  3. Interpret the result in context: The correct answer is Larger x values tend to accompany larger y values.

Positive association describes an upward pattern, not necessarily causation.

5. QuestionMultiple choice

What is a representative sample?

Please select an answer first.

Correct answer: A

The correct answer is A sample that reflects important features of the population.

  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: Representativeness supports generalization to the population.
  3. Interpret the result in context: The correct answer is A sample that reflects important features of the population.

Representativeness supports generalization to the population.

6. QuestionMultiple choice

What is the main benefit of random sampling?

Please select an answer first.

Correct answer: B

The correct answer is It reduces selection bias.

  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: Random selection gives population members a fair chance of being chosen.
  3. Interpret the result in context: The correct answer is It reduces selection bias.

Random selection gives population members a fair chance of being chosen.

7. QuestionMultiple choice

What is undercoverage bias?

Please select an answer first.

Correct answer: C

The correct answer is Some population groups have little or no chance to be sampled.

  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: Undercoverage occurs when the sampling frame omits or underrepresents groups.
  3. Interpret the result in context: The correct answer is Some population groups have little or no chance to be sampled.

Undercoverage occurs when the sampling frame omits or underrepresents groups.

8. QuestionMultiple choice

What is nonresponse bias?

Please select an answer first.

Correct answer: D

The correct answer is Selected people do not respond and differ from respondents.

  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: Nonresponse can make the observed sample systematically different.
  3. Interpret the result in context: The correct answer is Selected people do not respond and differ from respondents.

Nonresponse can make the observed sample systematically different.

9. QuestionMultiple choice

What does a residual measure?

Please select an answer first.

Correct answer: A

The correct answer is Observed y minus predicted y.

  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: Residual=e y-observed minus y-predicted.
  3. Interpret the result in context: The correct answer is Observed y minus predicted y.

Residual=e y-observed minus y-predicted.

10. QuestionMultiple choice

What does a residual plot with random scatter around zero suggest?

Please select an answer first.

Correct answer: B

The correct answer is The model may be appropriate.

  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: No clear residual pattern supports the model's form, though it does not prove causality.
  3. Interpret the result in context: The correct answer is The model may be appropriate.

No clear residual pattern supports the model's form, though it does not prove causality.

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