Stage – 4, Statistics & Probability

Module 5: Statistics & Probability

This module introduces students to the fundamentals of data handling and chance, helping them collect, represent, and interpret information while exploring the mathematics of probability. It blends everyday contexts with analytical thinking, preparing learners for more advanced statistical work later.

1. Data Collection & Classification

• Data collection methods: Surveys, experiments, observations.

• Classification: Organising data into frequency tables, tally charts, and categories.

• Types of data: Qualitative (categorical) vs. quantitative (numerical).

• Outcome: Students learn how to gather and organise raw information for meaningful analysis.

2. Graphs: Bar, Line & Pie Charts

• Bar graphs: Comparing discrete categories.

• Line graphs: Showing trends over time.

• Pie charts: Representing proportions of a whole.

• Emphasis on choosing the most appropriate graph for the data set.

• Outcome: Students can visually represent data and interpret patterns in everyday contexts (e.g., sports scores, weather trends, budgets).

3. Measures of Central Tendency: Mean, Median, Mode & Range

• Mean: Average value of a data set.

• Median: Middle value when data is ordered.

• Mode: Most frequent value.

• Range: Spread between highest and lowest values.

• Applications: Analysing test scores, sports statistics, financial data.

• Outcome: Students can summarise data sets with key measures and compare them effectively.

4. Simple Probability Experiments

• Experiments: Using coins, dice, spinners to model chance.

• Probability calculation: Expressing likelihood as fractions, decimals, and percentages.

• Sample space: Listing all possible outcomes.

• Outcome: Students develop intuition about chance and randomness, and can calculate probabilities in simple scenarios.

5. Chance Language & Prediction

• Using terms like “certain,” “likely,” “unlikely,” “impossible.”

• Connecting probability to everyday decision‑making (e.g., weather forecasts, games of chance).

• Predicting outcomes based on experimental or theoretical probability.

• Outcome: Students gain confidence in describing and reasoning about chance events.

Learning Outcomes

By the end of this module, students will:

• Collect and classify data effectively.

• Represent information using appropriate graphs.

• Calculate and interpret mean, median, mode, and range.

• Conduct and analyse simple probability experiments.

• Use chance language to describe and predict outcomes in real‑life contexts.