Practice statistics questions about mean, median, mode, range, probability, data tables, and simple data interpretation. Use hints when needed, choose an answer, and review the explanation after each question.
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The 10 questions review mean, median, mode, range, simple probability, survey totals, and probability expressed as a fraction, decimal, or percent. These are foundation skills for later work with distributions, sampling, variation, correlation, and statistical inference.
Mean, median, and mode answer different questions about what is typical in a data set.
Range is a first measure of variability; later statistics uses measures such as interquartile range and standard deviation.
Probability compares favorable outcomes with the relevant set of possible outcomes.
Totals, proportions, categories, and summaries must be read in context before conclusions are drawn.
Mean, median, and mode are not interchangeable labels. A useful statistic depends on what the data represent and whether unusual values strongly affect the distribution.
None of these numbers is automatically “best.” The mean uses every value, the median depends on order, and the mode identifies the most frequent value.
Compare two five-value data sets. Only the final observation changes.
Statistics needs both center and spread. The quiz introduces range; this example shows why that extra information matters.
Mean = 50, range = 52 − 48 = 4. Values are tightly clustered.
Mean = 50, range = 80 − 20 = 60. Values are much more dispersed.
The quiz includes colored balls, a fair die, and a four-section spinner. For equally likely outcomes, probability can be found by comparing favorable outcomes with total outcomes.
The survey question in the quiz asks for the total number of students. The same table can also answer percentage or probability questions once the total is known.
| Category | Count | Share |
|---|---|---|
| Soccer | 12 | 12/25 = 48% |
| Basketball | 8 | 8/25 = 32% |
| Tennis | 5 | 5/25 = 20% |
Suppose homework is worth 20% of a course grade, quizzes 30%, and exams 50%. A student has averages of 90, 84, and 78 in those categories.
The median is based on position in ordered data, not the original order in which values were listed.
An extreme observation can shift the mean enough to make it unrepresentative of a typical case.
The denominator must represent the relevant total set of possible outcomes.
Review mean, median, mode, range, basic probability, and converting probability between fraction, decimal, and percent forms.
Focus on choosing the correct summary, reading category totals, and distinguishing center from spread.
Move toward weighted means, quartiles, standard deviation, conditional probability, sampling, correlation, and data distributions.