Year 8 Term 1 Week 10 - Data and Correlation
- Sallyann Clark
- 2 days ago
- 3 min read
Week 4 – Data Representation and Correlation
Introduction
This week covers frequency tables (grouped and ungrouped), representing grouped data with charts and diagrams, and constructing scatter graphs to describe relationships. Students also draw and interpret a line of best fit to make predictions.
What I should already know
How to tally and count data.
How to read bar charts.
How to plot coordinates.
Watch Khan Academy -Statistics and Probability Unit 1 Reading Bar Charts.
Real-world application – Why it matters
Data is used to make decisions in science, business, and sport. Scatter graphs and lines of best fit help predict outcomes and spot relationships between variables.
Day 1 – Frequency Tables
What am I Learning Today?
I will be learning to construct ungrouped and grouped frequency tables.
Revision Reminder
Remember how to use tally marks to quickly count items.
This is the foundation for turning raw data into a frequency table.
Game
Wordwall - Tally Chart and Frequency Table.
Learn
Watch White Rose Maths - Identify Different Types of Data.
Watch Fuseschool - Frequency Tables.
Task
In your journal:
Title Data Analysis
Write a definition for each type of data: quantitative, qualitative, discrete and continuous.
Draw a frequency table for ungrouped data and label it.
MEP Year 8 5.1- Data Analysis
Conclusion
You can now organise raw data into frequency tables.
Day 2 – Representing Grouped Data
What am I Learning Today?
I will be learning to represent grouped data using diagrams.
Revision Reminder
Remember how to draw and label bar charts from ungrouped data.
This helps when moving on to representing grouped frequency data.
Game
Play Wordwall - October Double Bar Chart
Learn
Watch White Rose Maths - Represent Grouped Discrete Data.
Task
Complete the tasks on these pages.
Conclusion
You can now represent grouped data visually.
Day 3 – Scatter Graphs
What am I Learning Today?
I will be learning to draw scatter graphs and describe correlation.
Revision Reminder
Remember how to plot single points on a coordinate grid.
This skill is essential when plotting pairs of values for scatter graphs.
Game
MathNook - Graphing Puzzle (4 quadrants, challenge mode)
Learn
Watch White Rose Maths - Draw and Interpret Scatter Graphs.
Understand and describe linear correlation.
Task
Complete Khan Academy - Grade 8, Unit 7, Lesson 1, Lesson 2 and quiz 1.
In your journal:
Draw one scatter graph showing positive correlation and one showing negative correlation.
Label the graphs.
Conclusion
You can describe positive, negative, or no correlation.
Day 4 – Line of Best Fit
What am I Learning Today?
I will be learning to draw and interpret a line of best fit.
Revision Reminder
You need to be able to recognise positive and negative correlation.
Game
Learn
Watch White Rose Maths - Draw and use the Line of Best Fit.
Task
Complete Khan Academy - Grade 8, Unit 7, Lesson 3, and quiz 2.
In our journal:
Record the rule of thumb for drawing the line of best fit.
Conclusion
You can use lines of best fit to predict unknown values.
Day 5 – Project: Student Height & Shoe Size Investigation
What am I learning today?
I will be learning to represent and analyse a dataset using frequency tables, grouped data, scatter graphs, and lines of best fit.
Here is the data for 15 students:
Student | Height (cm) | Shoe size (UK) |
1 | 150 | 4 |
2 | 152 | 4 |
3 | 155 | 5 |
4 | 157 | 5 |
5 | 160 | 6 |
6 | 162 | 5 |
7 | 165 | 6 |
8 | 167 | 6 |
9 | 170 | 7 |
10 | 172 | 7 |
11 | 175 | 8 |
12 | 178 | 8 |
13 | 180 | 9 |
14 | 183 | 9 |
15 | 185 | 10 |
Tasks
Frequency Table
Create a grouped frequency table for heights using intervals:150–159, 160–169, 170–179, 180–189.
Grouped Data Representation
Draw a bar chart for the grouped heights.
Scatter Graph
Plot a scatter graph of height vs shoe size.
Line of Best Fit
Draw a line of best fit on your scatter graph.
Use it to estimate the shoe size of a student who is 168 cm tall.
Interpretation
Write 2–3 sentences describing the correlation between height and shoe size.
Journal Activity
In your maths journal, record:
The grouped frequency table.
A sketch of your scatter graph with the line of best fit.
A reflection: “The correlation between height and shoe size is…"
Conclusion
You have practised constructing frequency tables, grouped data charts, scatter graphs, and lines of best fit and used them to interpret and predict real-life data.
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