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Learning Objectives

By the end of this lesson, you will be able to:

Create and read tally charts (Objective 179)
Create and interpret frequency tables (Objective 179)
Read and create pictographs with keys (Objective 179)
Read and create bar graphs (Objective 179)
Interpret data from tables, charts and graphs (Objectives 180-181)
Solve problems using data from graphs and charts

SEA Tip

Statistics questions appear in Section I, II, and III of the SEA Math paper. These are often easy marks if you can read graphs! (SEA Framework Page 27-28)

Watch: Tally Charts

Start by watching this video to learn about tally charts. Take notes as you watch! 📝

Tally Charts – Mathematics Video Lesson

Quick Check

Did you understand the video? Review the notes below before continuing! ✅

Tally Charts & Frequency Tables

Tally charts and frequency tables help us organize and count data quickly!

📋 What is a Tally Chart?

Tally Mark System

Each tally mark represents 1
Every 5th mark goes diagonally across the previous 4
This makes counting easier (count by 5s)
Also called the five-bar gate system

📊 Example 1: Tally Chart & Frequency Table

Tally marks convert to frequency numbers

Quick Tip

Always draw the 5th tally mark diagonally across the first 4. This makes counting much faster!

Watch: Frequency Tables

Now watch this video to learn more about frequency tables. 🎯

Frequency Tables – Mathematics Video Lesson

Watch: Pictographs

Watch this video to learn about pictographs and how to use keys. 🎯

Pictographs – Mathematics Video Lesson

Pictographs

Pictographs use pictures or symbols to represent data. Each picture represents a certain number of items!

📋 Key Points for Pictographs:

Important Rules

Always include a key to show what each picture represents
Pictures must be the same size
Pictures must be arranged in rows or columns
Include a title for the pictograph
For partial amounts, draw a fraction of the picture

📊 Example 2: Pictograph with Key

Each circle represents 2 students

Watch: Bar Graphs

Watch this video to learn about bar graphs. 🎯

Bar Graphs – Mathematics Video Lesson

Bar Graphs

Bar graphs use bars to represent data. The height or length of each bar shows the frequency!

📋 Key Points for Bar Graphs:

Important Rules

Bars must be the same width
There must be equal gaps between bars
Include a title for the graph
Label both axes (horizontal and vertical)
Include a scale on the vertical axis

📊 Example 3: Bar Graph

Bar height shows the frequency

Watch: Interpreting Tables, Charts & Graphs

Watch this video to learn how to interpret data from tables, charts and graphs. 🎯

Interpreting Tables, Charts & Graphs – Mathematics Video Lesson

Interpreting Tables, Charts & Graphs

Being able to read and interpret data is an important skill for the SEA exam!

📋 Tips for Interpreting Data:

Step-by-Step Method

Read the title to understand what the data is about
Check the labels on axes or columns
Look at the key or scale to understand the values
Find the information you need in the graph or table
Answer the question using the data

📊 Example 4: Interpreting a Bar Graph

Answering Questions from Data

Question: Looking at the bar graph above, which term had the most books read?

Solution:

Look at the bars: Find the tallest bar
Read the label: Term 4 has the tallest bar
Check the value: Term 4 = 10 books

Answer: Term 4 had the most books read (10 books)

Memory Trick

Tally: Counting with marks (5-bar gate)
Frequency: How many times something occurs
Pictograph: Pictures represent data (check the key!)
Bar Graph: Bars show amounts (taller = more)

Lesson Complete!

Great job finishing Lesson 4.1! You’re mastering statistics for the SEA exam! 🎉

Back to SEA Maths

📊 Lesson 4.1: Statistics – Data Representation & Interpretation