Section 12 - Statistics & Probability

Master data analysis, probability theory, and GCSE problem-solving across statistics, probability distributions, and conditional events.

Chapters15

Data representation, probability, distributions, GCSE applications.

Time invested11 hrs

Approximate guided learning.

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Chapter 12.1

Collecting and representing data

Understand sampling methods, data types, and represent data effectively with charts and diagrams.

40 minStart
Chapter 12.2

Frequency tables and grouped data

Organize data into frequency tables, class intervals, and analyze grouped datasets.

40 minStart
Chapter 12.3

Mean from grouped frequency tables

Calculate estimated means using class midpoints and frequencies.

35 minStart
Chapter 12.4

Modal class and median from grouped data

Find modal classes and estimate medians from frequency distributions.

40 minStart
Chapter 12.5

Cumulative frequency diagrams

Plot and interpret cumulative frequency curves to analyze distribution characteristics.

45 minStart
Chapter 12.6

Cumulative frequency (median and quartiles)

Extract medians, quartiles, and interquartile ranges from cumulative frequency graphs.

45 minStart
Chapter 12.7

Box plots

Construct and interpret box-and-whisker diagrams to visualize data spread.

40 minStart
Chapter 12.8

Comparing distributions

Use statistics and box plots to compare multiple datasets and identify differences.

40 minStart
Chapter 12.9

Scatter graphs (line of best fit and correlation)

Plot bivariate data, find lines of best fit, and interpret correlation strength.

45 minStart
Chapter 12.10

Probability from experiments and theory

Compare experimental and theoretical probabilities; understand sample space.

40 minStart
Chapter 12.11

Two-way tables and Venn diagrams

Use two-way tables and Venn diagrams to organize and analyze conditional probabilities.

45 minStart
Chapter 12.12

Tree diagrams (independent events)

Construct tree diagrams and find probabilities for independent sequential events.

40 minStart
Chapter 12.13

Tree diagrams (conditional probability)

Use tree diagrams to solve problems involving dependent events and conditional probabilities.

45 minStart
Chapter 12.14

Probability AND/OR rules

Apply multiplication and addition rules for compound probability calculations.

40 minStart
Chapter 12.15

Probability problem-solving (GCSE)

Blend all techniques to tackle complex exam-style probability and statistics applications.

50 minStart

Next steps

You have completed the Year 9 Maths curriculum. Well done! Consider reviewing any sections, or move on to Year 10 Maths for advanced topics in pure mathematics, statistics, and mechanics.