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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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5 Tests
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1. Test

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

What is the mean of 4, 6, and 8?

Please select an answer first.

Correct answer: A

The correct answer is 6.

  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: Add the values and divide by 3: (4+6+8)/3=6.
  3. Check the result: The correct answer is 6.

Add the values and divide by 3: (4+6+8)/3=6.

2. QuestionMultiple choice

What is the median of 3, 7, 9, 10, 12?

Please select an answer first.

Correct answer: B

The correct answer is 9.

  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 ordered data set has five values, so the middle third value is 9.
  3. Check the result: The correct answer is 9.

The ordered data set has five values, so the middle third value is 9.

3. QuestionMultiple choice

What is the mode of 2, 3, 3, 4, 5?

Please select an answer first.

Correct answer: C

The correct answer is 3.

  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 mode is the value that occurs most often; 3 appears twice.
  3. Check the result: The correct answer is 3.

The mode is the value that occurs most often; 3 appears twice.

4. QuestionMultiple choice

What is the range of 12, 5, 9, and 20?

Please select an answer first.

Correct answer: D

The correct answer is 15.

  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: Range equals maximum minus minimum: 20-5=15.
  3. Check the result: The correct answer is 15.

Range equals maximum minus minimum: 20-5=15.

5. QuestionMultiple choice

A data set has 5 values with a total of 40. What is its mean?

Please select an answer first.

Correct answer: A

The correct answer is 8.

  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: Mean equals total divided by count: 40/5=8.
  3. Check the result: The correct answer is 8.

Mean equals total divided by count: 40/5=8.

6. QuestionMultiple choice

What happens to the mean when 4 is added to every data value?

Please select an answer first.

Correct answer: B

The correct answer is It increases by 4..

  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: Adding a constant to every value adds that same constant to the mean.
  3. Check the result: The correct answer is It increases by 4..

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

7. QuestionMultiple choice

How does a very large high outlier usually affect the mean?

Please select an answer first.

Correct answer: C

The correct answer is It increases 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: The mean uses every value, so a high outlier pulls it upward.
  3. Check the result: The correct answer is It increases the mean..

The mean uses every value, so a high outlier pulls it upward.

8. QuestionMultiple choice

What does standard deviation describe?

Please select an answer first.

Correct answer: D

The correct answer is The spread of data around 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: Standard deviation measures typical distance from the mean.
  3. Check the result: The correct answer is The spread of data around the mean.

Standard deviation measures typical distance from the mean.

9. QuestionMultiple choice

What is the standard deviation of a data set in which every value is the same?

Please select an answer first.

Correct answer: A

The correct answer is 0.

  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: Every value equals the mean, so all deviations are zero and the standard deviation is zero.
  3. Check the result: The correct answer is 0.

Every value equals the mean, so all deviations are zero and the standard deviation is zero.

10. QuestionMultiple choice

How is the interquartile range calculated?

Please select an answer first.

Correct answer: B

The correct answer is IQR=Q3−Q1IQR=Q_3-Q_1.

  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 interquartile range measures the middle 50% by subtracting the first quartile from the third quartile.
  3. Check the result: The correct answer is IQR=Q3−Q1IQR=Q_3-Q_1.

The interquartile range measures the middle 50% by subtracting the first quartile from the third quartile.

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