Frequency Tables and Two-Way Tables

This lesson covers how to organise raw data into frequency tables, grouped frequency tables, and two-way tables — all essential skills for the AQA GCSE Mathematics Statistics unit. Being able to construct, read, and interpret these tables is fundamental to almost every statistics question in the exam.

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Tally Charts and Frequency Tables

A tally chart records data using tally marks as it is collected. Every fifth tally mark is drawn diagonally across the previous four to make groups of five, which makes counting easier.

A frequency table summarises data by showing how many times each value or category occurs.

Worked Example

Thirty students were asked how many books they read last month. The raw data is:

2, 0, 3, 1, 1, 4, 2, 2, 0, 3, 5, 1, 2, 3, 1, 0, 2, 4, 1, 3, 2, 1, 0, 2, 3, 1, 4, 2, 1, 3