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Probability and Statistics Practice Tests

These Grade 11 Math practice tests build fluency with data summaries, probability rules, counting methods, distributions, sampling, expected value, standardized scores, correlation, and regression.

Skills covered

  • Calculating and interpreting mean, median, mode, range, quartiles, IQR, and standard deviation
  • Using complements, unions, intersections, conditional probability, independence, and mutually exclusive events
  • Applying permutations, combinations, factorials, and counting models
  • Interpreting normal distributions, z-scores, samples, populations, parameters, and statistics
  • Finding expected values, residuals, regression predictions, and appropriate conclusions about correlation

How to use these practice tests

Define the event or variable first, select the appropriate formula, keep probability values between 0 and 1, and distinguish sample statistics from population parameters when interpreting results.

For more Grade 11 Math practice, return to the Grade 11 Math category.

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Grade 11 Probability and Statistics Practice Tests

Practice Grade 11 Math questions about descriptive statistics, probability rules, conditional probability, counting, distributions, sampling, expected value, z-scores, and regression.

Choose the best answer. Show the relevant probability, counting, statistical, or modeling relationship and interpret the result in context.

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

In a normal distribution, which measures are equal?

Please select an answer first.

Correct answer: A

The correct answer is Mean, median, and mode.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: A symmetric normal distribution is centered at the same mean, median, and mode.
  3. Check the result: The correct answer is Mean, median, and mode.

A symmetric normal distribution is centered at the same mean, median, and mode.

2. QuestionMultiple choice

What is the z-score for x=70 when the mean is 60 and standard deviation is 5?

Please select an answer first.

Correct answer: B

The correct answer is 2.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: Use z=(x-mu)/sigma=(70-60)/5=2.
  3. Check the result: The correct answer is 2.

Use z=(x-mu)/sigma=(70-60)/5=2.

3. QuestionMultiple choice

What does a negative z-score indicate?

Please select an answer first.

Correct answer: C

The correct answer is The value is below the mean..

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: A negative standardized score means x is less than the mean.
  3. Check the result: The correct answer is The value is below the mean..

A negative standardized score means x is less than the mean.

4. QuestionMultiple choice

Approximately what percentage of normal data lies within one standard deviation of the mean?

Please select an answer first.

Correct answer: D

The correct answer is 68%.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: The empirical rule states that about 68% lies within one standard deviation.
  3. Check the result: The correct answer is 68%.

The empirical rule states that about 68% lies within one standard deviation.

5. QuestionMultiple choice

What is a sample statistic?

Please select an answer first.

Correct answer: A

The correct answer is A numerical summary calculated from a sample.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: A statistic is computed from sample data, while a parameter describes a population.
  3. Check the result: The correct answer is A numerical summary calculated from a sample.

A statistic is computed from sample data, while a parameter describes a population.

6. QuestionMultiple choice

What is a population parameter?

Please select an answer first.

Correct answer: B

The correct answer is A numerical value describing an entire population.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: A parameter summarizes the full population of interest.
  3. Check the result: The correct answer is A numerical value describing an entire population.

A parameter summarizes the full population of interest.

7. QuestionMultiple choice

What usually happens to sampling variability as sample size increases?

Please select an answer first.

Correct answer: C

The correct answer is It decreases..

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: Larger random samples tend to produce more stable estimates with less sampling variability.
  3. Check the result: The correct answer is It decreases..

Larger random samples tend to produce more stable estimates with less sampling variability.

8. QuestionMultiple choice

Why is a random sample useful?

Please select an answer first.

Correct answer: D

The correct answer is It helps reduce selection bias..

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: Random selection gives members a fairer chance of inclusion and reduces systematic selection bias.
  3. Check the result: The correct answer is It helps reduce selection bias..

Random selection gives members a fairer chance of inclusion and reduces systematic selection bias.

9. QuestionMultiple choice

What does a correlation coefficient close to 1 indicate?

Please select an answer first.

Correct answer: A

The correct answer is A strong positive linear relationship.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: A correlation near 1 means the variables tend to increase together in a linear pattern.
  3. Check the result: The correct answer is A strong positive linear relationship.

A correlation near 1 means the variables tend to increase together in a linear pattern.

10. QuestionMultiple choice

What does a correlation coefficient of 0 indicate?

Please select an answer first.

Correct answer: B

The correct answer is No linear relationship.

  1. Identify the probability or statistics structure: Determine the data summary, event relationship, distribution, sampling feature, or model quantity involved.
  2. Apply the statistical relationship: Correlation 0 indicates no linear association, although another nonlinear relationship could still exist.
  3. Check the result: The correct answer is No linear relationship.

Correlation 0 indicates no linear association, although another nonlinear relationship could still exist.

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