Collecting and Organising Data
Data can be collected using tally charts and organised into frequency tables so patterns are easier to spot.
Before you can draw a chart or calculate an average, you need to collect and organise your data.
A tally chart is a quick way to record data as you collect it. Each item is marked with a short vertical line. Every fifth tally is drawn diagonally across the previous four to make a gate (group of five), which makes counting easier.
The frequency is the total count for each category. A frequency table has columns for Category, Tally and Frequency.
Data can be categorical (words, like favourite colour) or numerical (numbers, like shoe size). Knowing the type helps you choose the right chart later.
Watch it work
Question: 20 pupils were asked their favourite colour. The results were: Red, Blue, Green, Blue, Red, Red, Yellow, Blue, Green, Red, Blue, Blue, Yellow, Red, Green, Blue, Red, Blue, Green, Red. Organise this in a frequency table.
Step 1: List the categories: Red, Blue, Green, Yellow.
Step 2: Go through the data, making a tally mark for each item. Red: 7, Blue: 7, Green: 4, Yellow: 2.
Step 3: Check the totals add up: . This matches the 20 pupils, so the table is correct.
Have a go
Q1. What does a single gate in a tally chart represent?
A gate represents 5.
Q2. A tally for "Bus" shows 3 gates and 2 extra lines. What is the frequency?
Q3. Is "shoe size" categorical or numerical data?
Numerical — shoe sizes are numbers.
Q4. Freya's frequency table has totals 8, 12, 5 and 3 for four categories. She surveyed 30 people. Has she made an error?
Check: . Yes, she has an error — the frequencies should add up to 30.