NumicornNumicornLearn, solve, progress

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.

Select a test

5 Tests
1. Test2. Test3. Test4. Test5. Test

5. 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 expected value of a fair six-sided die roll?

Please select an answer first.

Correct answer: A

The correct answer is 3.5.

  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 expected value is the mean of 1 through 6: (1+2+3+4+5+6)/6=3.5.
  3. Check the result: The correct answer is 3.5.

The expected value is the mean of 1 through 6: (1+2+3+4+5+6)/6=3.5.

2. QuestionMultiple choice

A game pays $10 with probability 0.2 and $0 otherwise. What is the expected payout?

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: Expected payout is 10(0.2)+0(0.8)=$2.
  3. Check the result: The correct answer is $2.

Expected payout is 10(0.2)+0(0.8)=$2.

3. QuestionMultiple choice

A game costs $3 and pays $10 with probability 0.4, otherwise $0. What is its expected net value?

Please select an answer first.

Correct answer: C

The correct answer is $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: Expected payout is $4; subtract the $3 cost to get an expected net value of $1.
  3. Check the result: The correct answer is $1.

Expected payout is $4; subtract the $3 cost to get an expected net value of $1.

4. QuestionMultiple choice

A regression line is y=2x+5y=2x+5. What is the predicted y when x=4?

Please select an answer first.

Correct answer: D

The correct answer is 13.

  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: Substitute x=4: y=2(4)+5=13.
  3. Check the result: The correct answer is 13.

Substitute x=4: y=2(4)+5=13.

5. QuestionMultiple choice

If the actual value is 15 and the predicted value is 13, what is the residual?

Please select an answer first.

Correct answer: A

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: Residual equals actual minus predicted: 15-13=2.
  3. Check the result: The correct answer is 2.

Residual equals actual minus predicted: 15-13=2.

6. QuestionMultiple choice

What does a positive slope in a regression line mean?

Please select an answer first.

Correct answer: B

The correct answer is Predicted y increases as x increases..

  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 positive slope describes an increasing linear trend.
  3. Check the result: The correct answer is Predicted y increases as x increases..

A positive slope describes an increasing linear trend.

7. QuestionMultiple choice

A random variable takes values 0, 1, and 2 with probabilities 0.2, 0.5, and 0.3. What is its expected value?

Please select an answer first.

Correct answer: C

The correct answer is 1.1.

  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: Compute 0(0.2)+1(0.5)+2(0.3)=1.1.
  3. Check the result: The correct answer is 1.1.

Compute 0(0.2)+1(0.5)+2(0.3)=1.1.

8. QuestionMultiple choice

What is the z-score for x=85 when the mean is 75 and standard deviation is 5?

Please select an answer first.

Correct answer: D

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=(85-75)/5=2.
  3. Check the result: The correct answer is 2.

Use z=(85-75)/5=2.

9. QuestionMultiple choice

If the probability of success on one independent trial is 0.7, what is the probability of no successes in 3 trials?

Please select an answer first.

Correct answer: A

The correct answer is 0.027.

  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: Failure has probability 0.3, so three failures have probability 0.3^3=0.027.
  3. Check the result: The correct answer is 0.027.

Failure has probability 0.3, so three failures have probability 0.3^3=0.027.

10. QuestionMultiple choice

What is the safest interpretation of correlation?

Please select an answer first.

Correct answer: B

The correct answer is Association does not by itself prove causation..

  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: Two variables can be associated because of confounding or coincidence, so correlation alone does not establish cause and effect.
  3. Check the result: The correct answer is Association does not by itself prove causation..

Two variables can be associated because of confounding or coincidence, so correlation alone does not establish cause and effect.

Previous testNext test