GCSE Maths: Statistics — Quick Burst Practice

Inside GCSE Maths: Statistics — Quick Burst Practice

averages and range from a list, a mean and mode from a frequency table, the estimated mean and modal class from grouped data, pie-chart angles, then correlation and data types. Fast recall, single-value answers. About 10 minutes.

Learning objectives

• the mean, median and range from a short list;
• the mean and mode from a frequency table;
• the estimated mean and modal class from grouped data using midpoints;
• pie-chart angles from a frequency total;
• naming correlation and classifying discrete or continuous data.

Activities in this book

1. Round 1 — List Averages Blitz

   order the list first: 3, 5, 6, 8, 8. Mean = total ÷ how many; median = the middle value; range = largest − smallest.

2. Round 2 — Frequency Table Sprint

   mean from a table = total of (value × frequency) ÷ total frequency. The mode is the value with the highest frequency.

3. Round 3 — Estimated Mean Dash

   use the midpoint of each class: estimated mean = total of (midpoint × frequency) ÷ total frequency. The modal class has the highest frequency.

4. Round 4 — Pie Chart Angles

   each pupil is worth 360° ÷ total. Then each slice = frequency × that value. Check your slices add to 360°.

5. Round 5 — Correlation & Data Types

   positive correlation = both rise together; negative = one rises as the other falls. Discrete data is counted in set values (shoe size, goals); continuous data is measured (height, time).

Suggestions for teaching

• Speed then accuracy. Treat each round as a timed recall drill, then check every answer on screen.
• Order the list first. For the list round, insist on writing the ordered values before reading off median and range.
• Midpoints, then divide. For grouped data, model (midpoint × frequency), sum, then divide by the total frequency — and round only at the end.
• Degrees per item. For pie charts, fix 360° ÷ total first, then multiply by each frequency.