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Statistical Experiments and Simulation Test – Algebra 2 Math (Printable PDF)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Algebra 2 Math Tests – Mathbot, the Math Made Easy robot coach, with free printable tests for Algebra 2
Looking for a statistical experiments and simulation test? Then this Algebra 2 test on Experiments, Simulation and Smart Decisions checks the whole chapter, with points for each question. This 45-minute test covers simulations, re-randomization, evaluating reports, and expected value in decisions. A calculator is allowed. Support each conclusion with numbers from the data.

Standards: S-IC.A.2, S-IC.B.5, S-IC.B.6, S-MD.B.6, S-MD.B.7 · Level: Grade 11 Algebra 2

Time: 45 minutes · 9 questions · Total: 20 points · Calculator: as allowed by your teacher

Question 1 Design a simulation (2 points)

A spinner lands on blue 35% of the time. Describe how to use pairs of random digits 00–99 to simulate one spin, and how to estimate the chance of at least two blues in three spins.

Question 2 Guessing on a quiz (3 points)

A student gets 8 of 10 true-or-false questions right. The histogram shows the number correct in 100 simulated runs of guessing on 10 questions.

051015202530123456789number correct
Correct answers in 100 simulated runs of 10 true-or-false guesses.
  1. How many runs had 8 or more correct? (1 point)
  2. Estimate the probability of getting 8 or more by guessing. (1 point)
  3. Using a 5% cutoff, is the result convincing evidence the student did not guess? (1 point)

Question 3 Two diets (3 points)

Twenty adults were randomly split into two diet groups. Diet A lost 3 pounds more on average. The histogram shows the difference in means from 100 random re-assignments.

0510152025−3−2−1012345difference in means (lb)
Differences in mean weight loss (lb) from 100 random re-assignments.
  1. How many runs showed a difference of 3 pounds or more? (1 point)
  2. Is the difference significant at the 5% level? Explain. (2 points)

Question 4 Evaluate a report (2 points)

A news site reports that 92% of readers love its new app, based on 60 reader e-mails. Give two criticisms.

Question 5 Is the game fair? (2 points)

A game costs $3 to play. A spinner has five equal sectors and pays $10 on one of them and $0 on the others. Find the expected net value per play and decide if the game is fair.

Question 6 Choose a plan (3 points)

Plan A pays $400 for sure. Plan B pays $1,000 with probability 0.45 and $0 otherwise.

PlanPayoffProbabilityA$4001B$1,0000.45B$00.55
Table for Question 6.
  1. Find the expected value of each plan. (1 point)
  2. Which has the greater expected value? (1 point)
  3. Give one reason a person might still choose Plan A. (1 point)

Question 7 Estimate from trials (2 points)

In 250 trials of a simulation, a certain event occurred 35 times. Estimate its probability, and predict how many times it would occur in 1000 trials.

Question 8 Random assignment (2 points)

Describe how to randomly assign 20 plants to two groups of 10 using the numbers 1 to 20.

Question 9 Cause and effect (1 point)

A study finds that people who own dogs walk more each day. Can we conclude owning a dog makes people walk more? Why or why not?

View the Statistical Experiments And Simulation test answer key with scoring

Statistical Experiments And Simulation lessonStatistical Experiments And Simulation worksheetStatistical Experiments And Simulation quiz

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