Data & Probability
13 topics recommended
Collect, represent, analyse, and communicate data while reasoning about uncertainty and risk.
Data Questions and Sampling
Turn a real question into measurable variables and a fair sample.
Tables, Charts, and Data Displays
Choose and interpret frequency tables, bar charts, histograms, pie charts, and time-series graphs.
Averages and Spread
Use mean, median, mode, range, and interquartile range to describe a data set.
Ungrouped Data Calculations
Calculate exact statistics from a list of individual observations.
Grouped Data Calculations
Estimate statistics from a grouped frequency table using class intervals and midpoints.
Quartiles, Percentiles, and Box Plots
Find positions in ordered data and compare distributions with five-number summaries.
Variance and Standard Deviation
Measure how far values spread from their mean for ungrouped and grouped data.
Frequency Density and Histograms
Represent continuous grouped data correctly when class widths are unequal.
Cumulative Frequency and Ogives
Build cumulative-frequency tables and estimate medians, quartiles, and percentiles from curves.
Probability Models and Counting
List outcomes, calculate probabilities, and use sample spaces without double-counting.
Conditional and Independent Events
Understand how information changes probability and when events do or do not affect one another.
Expected Value and Risk
Use expected value to compare repeated random outcomes and understand risk.
Correlation and Statistical Claims
Interpret relationships in data without confusing association with cause.