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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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5 Tests
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1. Test

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 the mean of 4, 6, 8, and 12?

Please select an answer first.

Correct answer: A

The correct answer is 7.5.

  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: Add the values and divide by four: (4+6+8+12)/4=7.5.
  3. Interpret the result in context: The correct answer is 7.5.

Add the values and divide by four: (4+6+8+12)/4=7.5.

2. QuestionMultiple choice

What is the median of 3, 5, 9, 10, and 14?

Please select an answer first.

Correct answer: B

The correct answer is 9.

  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 ordered middle value is 9.
  3. Interpret the result in context: The correct answer is 9.

The ordered middle value is 9.

3. QuestionMultiple choice

Which measure is least affected by an extreme outlier?

Please select an answer first.

Correct answer: C

The correct answer is Median.

  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 median depends on position rather than the magnitude of extreme values.
  3. Interpret the result in context: The correct answer is Median.

The median depends on position rather than the magnitude of extreme values.

4. QuestionMultiple choice

What is the range of 2, 7, 11, and 15?

Please select an answer first.

Correct answer: D

The correct answer is 13.

  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: Range is maximum minus minimum: 15-2=13.
  3. Interpret the result in context: The correct answer is 13.

Range is maximum minus minimum: 15-2=13.

5. QuestionMultiple choice

What does a standard deviation measure?

Please select an answer first.

Correct answer: A

The correct answer is Typical distance from the mean.

  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: Standard deviation measures spread around the mean.
  3. Interpret the result in context: The correct answer is Typical distance from the mean.

Standard deviation measures spread around the mean.

6. QuestionMultiple choice

If every data value increases by 5, what happens to the mean?

Please select an answer first.

Correct answer: B

The correct answer is It increases by 5.

  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: Adding a constant to every value adds that constant to the mean.
  3. Interpret the result in context: The correct answer is It increases by 5.

Adding a constant to every value adds that constant to the mean.

7. QuestionMultiple choice

If every data value is multiplied by 3, what happens to the standard deviation?

Please select an answer first.

Correct answer: C

The correct answer is It is multiplied by 3.

  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: Spread scales by the absolute value of the multiplication factor.
  3. Interpret the result in context: The correct answer is It is multiplied by 3.

Spread scales by the absolute value of the multiplication factor.

8. QuestionMultiple choice

What is the interquartile range?

Please select an answer first.

Correct answer: D

The correct answer is Q3-Q1.

  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 IQR measures the spread of the middle 50 percent.
  3. Interpret the result in context: The correct answer is Q3-Q1.

The IQR measures the spread of the middle 50 percent.

9. QuestionMultiple choice

Which statistic is a measure of center?

Please select an answer first.

Correct answer: A

The correct answer is Mean.

  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 mean describes a central location.
  3. Interpret the result in context: The correct answer is Mean.

The mean describes a central location.

10. QuestionMultiple choice

What does a positive z-score indicate?

Please select an answer first.

Correct answer: B

The correct answer is The value is above the mean.

  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 z-score measures signed distance from the mean in standard deviations.
  3. Interpret the result in context: The correct answer is The value is above the mean.

A z-score measures signed distance from the mean in standard deviations.

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