Statistics and probability
Build and connect the representations and methods in statistics and probability.
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Before you begin
Build and connect the representations and methods in statistics and probability.
Learning goals
- Organise data and construct a suitable display
- Read and interpret data displays
- Evaluate the purposes and limitations of data displays
- Calculate and interpret the arithmetic mean
- Find and interpret the mode and median
- Compare variability using appropriate measures
- Calculate event probabilities from an explicit sample space
Syllabus statements covered
- simple concepts in collecting, classifying and tabulating data • analysis and interpretation of: ∗ tables ∗ bar graphs ∗ pictograms ∗ line graphs ∗ pie charts ∗ dot diagrams ∗ histograms with equal class intervals ∗ cumulative frequency diagrams • purposes and use, advantages and disadvantages of the different forms of statistical representations • purposes and use of mean, mode and median • calculation of the mean, mode and median for a set of ungrouped data • percentiles, quartiles, range and interquartile range
- probability as a measure of chance • probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability)
- simple concepts in collecting, classifying and tabulating data
- analysis and interpretation of: • tables • bar graphs • pictograms • line graphs • pie charts
- purposes and uses, advantages and disadvantages of the different forms of statistical representations
- analysis and interpretation of: • dot diagrams • histograms with equal class intervals
- purposes and uses, advantages and disadvantages of the different forms of statistical representations
- purposes and uses of mean, mode and median
- calculation of the mean, mode and median for a set of ungrouped data
- probability as a measure of chance
- probability of single events (including listing all the possible outcomes in a simple chance situation to calculate the probability)
- percentiles, quartiles, range and interquartile range
- analysis and interpretation of cumulative frequency diagrams
Lessons
Work through them in order.
About lesson progress
Lesson marks record what you have studied. Checks show understanding separately. Guest marks come from this device.
- Collect data and make a tableG1 Mathematics 2027 · Normal (Technical) Secondary 1 Mathematics 2020Organise observations into a frequency table, choose a suitable display and check what the data can support.
- Histograms and dot diagramsG1 Mathematics 2027 · Normal (Technical) Secondary 2 Mathematics 2021Use numerical intervals for a histogram and one mark per observation for a dot diagram.
- Mean, median and modeG1 Mathematics 2027 · Normal (Technical) Secondary 2 Mathematics 2021Choose a measure for the question and sort the values before finding positional summaries.
- Quartiles, percentiles and cumulative frequencyG1 Mathematics 2027 · Normal (Technical) Secondary 3–4 Mathematics 2022Read cumulative counts at class boundaries and treat grouped-data interpolation as an estimate.
- Single-event probabilityG1 Mathematics 2027 · Normal (Technical) Secondary 2 Mathematics 2021List the sample space and justify equal likelihood before counting favourable outcomes.
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