Statistics and Probability Quiz — Mathematics: Mean, Median, Mode & Basic Probability
Covers key topics such as mean, median, mode, and basic probability.
Welcome to the Statistics and Probability Quiz — a focused Mathematics assessment designed to test and strengthen your understanding of mean, median, mode, range, and basic probability concepts. This practice quiz covers essential statistics topics for students, adult learners, and professionals brushing up on data literacy. Use this curated set of multiple-choice questions to evaluate your knowledge, identify gaps, and track progress in fundamental statistical skills.
This Statistics and Probability Quiz emphasizes practical problem solving and conceptual clarity. Each question is crafted to reinforce core ideas such as calculating averages (mean), identifying the median and mode in a dataset, interpreting spread and variability, and applying elementary probability rules for single and multiple events. Complete the quiz to receive an instant score, interpretive feedback, and actionable recommendations to improve your statistics and probability skills in mathematics.
What is the mean (average) of the dataset {2, 4, 6, 8}?
Calculate the arithmetic mean of the four numbers.
What is the median of the numbers {3, 7, 9}?
The median is the middle value when numbers are sorted.
Which number is the mode of the dataset {1, 2, 2, 3, 4}?
Mode is the most frequently occurring value.
What is the probability of rolling an even number on a fair six-sided die?
Even faces are 2, 4, and 6 out of six possible outcomes.
If you toss two fair coins, what is the probability of getting at least one heads?
Use complementary probability or enumerate outcomes HH, HT, TH, TT.
What is the expected value (mean) of a fair six-sided die (faces 1–6)?
Expected value is the average of all possible outcomes.
In a right-skewed dataset (long tail on the right), how do the mean and median typically compare?
Think about the effect of large outliers on the mean and median.
If events A and B are independent, what is P(A and B)?
Use the multiplication rule for independent events.
What is the complementary probability of an event A with P(A) = 0.3?
Complementary probability is the probability that A does not occur.
Which statistic best describes the spread (variability) of a dataset?
Choose the measure commonly used to quantify dispersion.
Frequently asked questions
This Statistics and Probability Quiz contains 10 multiple-choice questions covering mean, median, mode, basic probability rules, and measures of spread.
Each option has an assigned numeric value (0–2). The quiz score is the sum of the selected option values. The results function simply sums the answers to provide a total score out of a maximum of 20.
The quiz focuses on foundational Mathematics and statistics topics: calculating mean, median and mode, interpreting range and dispersion, basic probability (single and multiple events), complementary probabilities, independence, and expected value.
Yes. You are encouraged to retake the quiz after review and practice. Retaking helps reinforce concepts and allows you to measure improvement in mean, median, mode, and probability skills.
Calculators may be used for arithmetic and averages if desired, but most questions are designed to be solvable with simple mental math or paper calculations. Use whatever tools help you learn and verify results.
Review basic formulas and definitions, practice worked examples, solve many varied datasets, and study probability rules (addition, multiplication, complements). Focused practice on weak areas identified by your quiz results will yield the fastest improvement.
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