Are the questions aligned with the ASQ CQPA Body of Knowledge?

Yes. Each question is written around topics included in the published CQPA Body of Knowledge and is tagged to the relevant BoK area. These are original practice questions and are not copied from the actual ASQ exam.

In Review Mode, you receive the correct answer and explanation immediately after answering each question. It is designed for learning, not just scoring, so you can correct misunderstandings before moving to the next question.

Does the quiz include calculations?

Yes. The free set includes a balanced mix of conceptual questions, applied scenarios and short calculations. The goal is to help you experience several common CQPA question styles.

What is included in the full CQPA practice-question package?

The complete package provides additional CQPA-style practice sets with broader Body of Knowledge coverage, detailed explanations and more opportunities to work on calculations, scenarios and commonly confused concepts.

Does purchasing the practice tests include the ASQ examination?

No. These are independent exam-preparation materials. Registration, eligibility review and the official certification examination are handled separately by ASQ.

ASQ CQPA Basic Statistics and Probability Quiz

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Free sample questions

2 questions from this set, shown in full with the correct answer and the reasoning behind it. Read them as a study resource.

Q1.Summary statistics for three data sets are shown below.

$\begin{array}{l|c|c} \hline \textbf{Set} & \textbf{Mean} & \textbf{Median} \\ \hline \text{D1} & 40.0 & 40.0 \\ \text{D2} & 47.5 & 40.0 \\ \text{D3} & 33.0 & 40.0 \\ \hline \end{array}$

Which set is left skewed?
- A.D3✓ Correct answer
- B.D2
- C.D1
- D.None of the three
Explanation
In a left-skewed distribution the long tail of low values pulls the mean below the median, which is D3 at 33.0 against 40.0. D2 is the primary foil and is the mirror image: a mean above the median indicates right skew, which is the case candidates most often see and therefore reach for first.
Reference: CQPA BoK III
Q2.The Venn diagram below shows results from 200 inspected units.

What is the probability that a randomly selected unit has at least one of the two defects?
- A.0.29
- B.0.045
- C.0.75
- D.0.25✓ Correct answer
Explanation
At least one means the union, which is the total of all three regions inside the circles:

$P(A \cup B) = \frac{26 + 9 + 15}{200} = \frac{50}{200} = 0.25$

The distractor $0.29$ adds the two circle totals of $35$ and $24$ without subtracting the shared 9, which double counts the overlap, and $0.75$ is the probability of no defect at all.
Reference: CQPA BoK III

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How well do you understand Basic Statsitics and Probability

25 exam-style CQPA questions focused on Basic Statsitics and Probability
Full explanation for every question
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Strengthen Your Understanding of Basic Statistics and Probability

Preparing for the ASQ Certified Quality Process Analyst (CQPA) exam?

This paid 25-question practice quiz focuses specifically on Basic Statistics and Probability, Sections III.A.1, III.A.2, and III.A.3 of the CQPA Body of Knowledge.

The questions include a practical mix of:

Types of data
Measurement scales
Population versus sample
Measures of central tendency
Mean, median, and mode
Measures of dispersion
Range, variance, and standard deviation
Frequency distributions
Histograms and basic data interpretation
Probability concepts
Independent and dependent events
Addition and multiplication rules
Conditional probability
Basic counting concepts
Normal distribution fundamentals
Interpreting statistical results in workplace situations
Short calculations
Plausible distractors based on common misunderstandings

Learn from Every Question

This quiz is offered in Review Mode, so you will see the correct answer and a clear explanation immediately after each response.

Each explanation helps you understand:

Why the correct answer is right
Which statistical or probability concept is being tested
Why the other options are less appropriate
How to interpret the result correctly
How similar concepts may appear in a CQPA-style question

The goal is not simply to check your score. It is to help you understand how basic statistics and probability are used to summarize data, interpret variation, and support quality and process improvement decisions.

Part of the Paid CQPA Practice Package

This 25-question quiz is included in the complete CQPA Practice Test Package.

Use it to:

Strengthen your understanding of basic statistics
Practise mean, median, variation, and standard deviation calculations
Improve your understanding of probability concepts
Distinguish between different types of data and measurement scales
Apply statistical concepts to workplace situations
Identify gaps in your statistical knowledge
Improve your readiness for the CQPA exam

Ready to Test Your Basic Statistics and Probability Knowledge?

Complete the 25-question Review Mode quiz and use every incorrect answer as a guide for further study.

Start the CQPA Basic Statistics and Probability Practice Quiz

What this quiz covers

Data Analysis

Questions about this practice test

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CQPA - 4. Basic Statistics and Probability