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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 does the correlation coefficient r measure?

Please select an answer first.

Correct answer: A

The correct answer is Strength and direction of a linear association.

  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: Correlation summarizes linear association and ranges from -1 to 1.
  3. Interpret the result in context: The correct answer is Strength and direction of a linear association.

Correlation summarizes linear association and ranges from -1 to 1.

2. QuestionMultiple choice

What does r close to -1 indicate?

Please select an answer first.

Correct answer: B

The correct answer is A strong negative linear association.

  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: Values near -1 indicate a strong downward linear pattern.
  3. Interpret the result in context: The correct answer is A strong negative linear association.

Values near -1 indicate a strong downward linear pattern.

3. QuestionMultiple choice

What does r=0 indicate?

Please select an answer first.

Correct answer: C

The correct answer is No linear association.

  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 zero correlation indicates no linear association, though another pattern may exist.
  3. Interpret the result in context: The correct answer is No linear association.

A zero correlation indicates no linear association, though another pattern may exist.

4. QuestionMultiple choice

What is the slope of a least-squares regression line interpreted as?

Please select an answer first.

Correct answer: D

The correct answer is Predicted change in y for a one-unit increase in x.

  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 slope gives the model's predicted response change per x unit.
  3. Interpret the result in context: The correct answer is Predicted change in y for a one-unit increase in x.

The slope gives the model's predicted response change per x unit.

5. QuestionMultiple choice

What is the y-intercept of a regression line?

Please select an answer first.

Correct answer: A

The correct answer is Predicted y when x=0.

  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: Set x=0 in the regression equation.
  3. Interpret the result in context: The correct answer is Predicted y when x=0.

Set x=0 in the regression equation.

6. QuestionMultiple choice

What does R-squared represent in a linear model?

Please select an answer first.

Correct answer: B

The correct answer is The proportion of response variation explained by the model.

  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: R^2 measures explained variation for the fitted linear relationship.
  3. Interpret the result in context: The correct answer is The proportion of response variation explained by the model.

R^2 measures explained variation for the fitted linear relationship.

7. QuestionMultiple choice

What is extrapolation?

Please select an answer first.

Correct answer: C

The correct answer is Using a model beyond the observed x-range.

  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: Predictions outside the observed range may be unreliable.
  3. Interpret the result in context: The correct answer is Using a model beyond the observed x-range.

Predictions outside the observed range may be unreliable.

8. QuestionMultiple choice

What is an influential point?

Please select an answer first.

Correct answer: D

The correct answer is A point whose removal substantially changes the fitted model.

  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: Influential observations can strongly affect slope, intercept, or correlation.
  3. Interpret the result in context: The correct answer is A point whose removal substantially changes the fitted model.

Influential observations can strongly affect slope, intercept, or correlation.

9. QuestionMultiple choice

Why does correlation not prove causation?

Please select an answer first.

Correct answer: A

The correct answer is An association may be explained by confounding or chance.

  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 observed relationship alone does not establish a causal mechanism.
  3. Interpret the result in context: The correct answer is An association may be explained by confounding or chance.

An observed relationship alone does not establish a causal mechanism.

10. QuestionMultiple choice

What is a lurking variable?

Please select an answer first.

Correct answer: B

The correct answer is An unmeasured variable that influences variables in an observed association.

  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 lurking variable can create or distort an apparent relationship.
  3. Interpret the result in context: The correct answer is An unmeasured variable that influences variables in an observed association.

A lurking variable can create or distort an apparent relationship.

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