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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 the z-score formula for a population value x?

Please select an answer first.

Correct answer: A

The correct answer is z=x−μσz=\frac{x-\mu}{\sigma}.

  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: Subtract the mean and divide by the standard deviation.
  3. Interpret the result in context: The correct answer is z=x−μσz=\frac{x-\mu}{\sigma}.

Subtract the mean and divide by the standard deviation.

2. QuestionMultiple choice

For mean 50 and standard deviation 10, what is the z-score of 70?

Please select an answer first.

Correct answer: B

The correct answer is 2.

  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: z=(70-50)/10=2.
  3. Interpret the result in context: The correct answer is 2.

z=(70-50)/10=2.

3. QuestionMultiple choice

In a normal distribution, approximately what percentage lies within 1 standard deviation of the mean?

Please select an answer first.

Correct answer: C

The correct answer is 68%.

  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 empirical rule gives approximately 68% within one standard deviation.
  3. Interpret the result in context: The correct answer is 68%.

The empirical rule gives approximately 68% within one standard deviation.

4. QuestionMultiple choice

Approximately what percentage lies within 2 standard deviations of the mean?

Please select an answer first.

Correct answer: D

The correct answer is 95%.

  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 empirical rule gives approximately 95% within two standard deviations.
  3. Interpret the result in context: The correct answer is 95%.

The empirical rule gives approximately 95% within two standard deviations.

5. QuestionMultiple choice

What is the shape of a normal distribution?

Please select an answer first.

Correct answer: A

The correct answer is Symmetric and bell-shaped.

  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 normal curve is symmetric around its mean.
  3. Interpret the result in context: The correct answer is Symmetric and bell-shaped.

A normal curve is symmetric around its mean.

6. QuestionMultiple choice

In a normal distribution, how are mean, median, and mode related?

Please select an answer first.

Correct answer: B

The correct answer is They are equal.

  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: Symmetry makes all three measures coincide at the center.
  3. Interpret the result in context: The correct answer is They are equal.

Symmetry makes all three measures coincide at the center.

7. QuestionMultiple choice

What is the standard error of a sample mean when population standard deviation is sigma and sample size is n?

Please select an answer first.

Correct answer: C

The correct answer is σn\frac{\sigma}{\sqrt{n}}.

  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 standard deviation of the sampling distribution of the mean is σ/√n.
  3. Interpret the result in context: The correct answer is σn\frac{\sigma}{\sqrt{n}}.

The standard deviation of the sampling distribution of the mean is σ/√n.

8. QuestionMultiple choice

As sample size increases, what generally happens to the standard error of the mean?

Please select an answer first.

Correct answer: D

The correct answer is It decreases.

  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: Larger samples produce less sampling variability.
  3. Interpret the result in context: The correct answer is It decreases.

Larger samples produce less sampling variability.

9. QuestionMultiple choice

What does the Central Limit Theorem describe?

Please select an answer first.

Correct answer: A

The correct answer is The approximate normality of sample means under suitable conditions.

  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: For sufficiently large samples, the sampling distribution of means is approximately normal.
  3. Interpret the result in context: The correct answer is The approximate normality of sample means under suitable conditions.

For sufficiently large samples, the sampling distribution of means is approximately normal.

10. QuestionMultiple choice

What does a percentile indicate?

Please select an answer first.

Correct answer: B

The correct answer is The percentage of observations at or below a value.

  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 percentile ranks a value within a distribution.
  3. Interpret the result in context: The correct answer is The percentage of observations at or below a value.

The percentile ranks a value within a distribution.

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