Statistics Worksheets

Statistics worksheets provide structured practice across data handling topics that many students find challenging, from interpreting charts to calculating averages and understanding probability. Teachers frequently observe that students struggle to solve the equation for the mean when values or totals are missing, often forgetting to work backwards through the formula. These printable PDF resources build confidence with reading and drawing statistical diagrams, analysing data sets, and applying measures of central tendency. Each worksheet includes complete answer sheets, making them practical for independent study, homework, or quick assessment checks. The collection supports curriculum requirements from Key Stage 2 through to GCSE, helping students develop the statistical reasoning skills needed for science, geography, and real-world decision making.

Biased Questions

Year groups: 7, 8

Biased Questions Worksheet suitable for students in KS3

Calculating Probabilities

Year groups: 7

Calculating Probabilities Worksheet perfect for students in year 7

Choosing the Best Average

Year groups: 7, 8

Choosing the Best Average Worksheet created for students in KS3

Completing Tables from Pie Charts

Year groups: 7, 8

Drawing Pie Charts Worksheet created for students in KS3

Correlation

Year groups: 7, 8

Correlation Worksheet fit for students in year 7 and year 8

Criticising Graphs and Charts

Year groups: 7, 8

Criticising Graphs and Charts Worksheet Suitable for Year 8 and Year 9 Students

Designing Good Questions

Year groups: 7, 8

Designing Good Questions Worksheet suitable for students in KS3

Dice Probability

Year groups: 7, 8

Dice Probability Worksheet suitable for students in KS3

Draw Composite and Dual Bar Charts

Year groups: 7, 8

Draw Composite and Dual Bar Charts Worksheet Suitable for Year 7 and Year 8 Students

Drawing Bar Charts from Frequency Tables (A)

Year groups: 7, 8

Frequency Tables and Bar Charts Worksheet created for students in KS3

Drawing Bar Charts from Frequency Tables (B)

Year groups: 7, 8

Frequency Tables and Bar Charts Worksheet suitable for students in KS3

Drawing Pie Charts (A)

Year groups: 7, 8

Drawing Pie Charts Worksheet perfect for students in year 7 and year 8

Drawing Pie Charts (B)

Year groups: 7, 8

Drawing Pie Charts Worksheet fit for students in year 7 and year 8

Drawing Pie Charts (C)

Year groups: 7, 8

Drawing Pie Charts Worksheet perfect for students in year 7 and year 8

Drawing Scatter Graphs

Year groups: 7, 8

Drawing Scatter Graphs worksheet

Frequency Trees (A)

Year groups: 7, 8

Frequency Trees Worksheet suitable for students in KS3

Frequency Trees (B)

Year groups: 7, 8

Frequency Trees (B) Worksheet Suitable for Year 7 and Year 8 students

Grouped Frequency Tables

Year groups: 7, 8

Grouped Frequency Tables Worksheet suitable for Year 7 and Year 8 students

Line Graphs (A)

Year groups: 7, 8

Line Graphs Worksheet created for students in KS3

Line Graphs (B)

Year groups: 7, 8

Line Graphs Worksheet perfect for students in year 7 and year 8

Mean, Median, Mode and Range (A)

Year groups: 7, 8

Mean, Median, Mode and Range Worksheet perfect for students in year 7 and year 8

Mean, Median, Mode and Range (B)

Year groups: 7, 8

Mean, Median, Mode and Range Worksheet fit for students in year 7 and year 8

Midpoint of Two Numbers

Year groups: 7

Midpoints of Two Numbers Worksheet Suitable for Year 7 Students

Pictograms

Year groups: 7, 8

Pictograms Worksheet suitable for students in KS3

Playing Cards and Probability

Year groups: 7, 8, 9

Playing Cards and Probability created for students in KS3

Probability Statements - True or False

Year groups: 7, 8, 9

Probability Statements - True or False Worksheet fit for students in year 7, 8 and 9

Questionnaires What's Wrong (A)

Year groups: 7, 8

Questionnaires What's Wrong Worksheet fit for students in year 7 and year 8

Questionnaires What's Wrong (A) (With Clues)

Year groups: 7, 8

Questionnaires What's Wrong (With Clues) Worksheet perfect for students in year 7 and year 8

Questionnaires What's Wrong (B)

Year groups: 7, 8

Questionnaires What's Wrong Worksheet created for students in KS3

Reading and Drawing Scatter Graphs

Year groups: 7, 8

Reading and Drawing Scatter Graphs Worksheet created for students in KS3

Reading Bar Charts

Year groups: 7, 8

Reading Bar Charts Worksheet created for students in KS3 and KS4

Reading Compound Bar Charts

Year groups: 7, 8

Reading Bar Charts Worksheet suitable for students in KS3

Reading Pie Charts (A)

Year groups: 7, 8

Reading Pie Charts (A) Worksheet suitable for Year 7 and 8 Students

Reading Pie Charts (B)

Year groups: 7, 8

Reading Pie Charts Worksheet fit for students in year 7 and year 8

Stem and Leaf Diagrams (A)

Year groups: 7, 8

Stem and Leaf Diagrams Worksheet fit for students in year 7 and year 8

Stem and Leaf Diagrams (B)

Year groups: 7, 8

Stem and Leaf Diagrams Worksheet perfect for students in year 7 and year 8

Stem and Leaf Word Problems

Year groups: 7, 8

Stem and Leaf Word Problems Worksheet created for students in KS3

Sums to One

Year groups: 7, 8, 9

Sums to One Worksheet suitable for students in KS3

The Language of Probability

Year groups: 7

The Language of Probability Worksheet fit for students in year 7

The Line of Best Fit

Year groups: 7, 8

The Line of Best Fit Worksheet suitable for students in KS3

The Mean (A)

Year groups: 7, 8

The Mean Worksheet fit for students in year 7 and year 8

The Mean (B)

Year groups: 7, 8

The Mean Worksheet suitable for students in KS3

The Median and Range

Year groups: 7, 8

The Median and Range Worksheet created for students in KS3

The Mode and Range

Year groups: 7, 8

The Mode and Range Worksheet suitable for students in KS3

Writing Probabilty as Fractions

Year groups: 7, 8

Writing Probabilty as Fractions Worksheet created for students in KS3

Averages from Frequency Tables

Year groups: 8, 9

Averages from Frequency Tables Worksheet perfect for students in year 8 and year 9

Averages from Grouped Data

Year groups: 8, 9

Averages from Grouped Data Worksheet fit for students in year 8 and year 9

Biased Samples

Year groups: 8, 9

Biased Samples Worksheet fit for students in year 8 and year 9

Choosing the Best Representation

Year groups: 8, 9

Choosing the Best Representation Worksheet suitable for students in KS3

Comparing Two Sets of Data

Year groups: 8, 9

Comparing Two Sets of Data Worksheet created for students in KS3

Completing Two-way Tables

Year groups: 8, 9

Completing Two-way Tables Worksheet perfect for students in year 8 and year 9

Correlation and Causation

Year groups: 8, 9

Correlation and Causation Worksheet suitable for Year 8 and Year 9 Worksheet

Drawing Frequency Polygons

Year groups: 8, 9

Drawing Frequency Polygons Worksheet perfect for students in year 8 and year 9

Estimate of the Mean

Year groups: 8, 9

Estimate of the Mean Worksheet suitable for students in KS3

Expected Frequencies

Year groups: 8, 9, 10

Expected Frequencies Worksheet fit for students in year 8, 9 and 10

Frequency Polygons (A)

Year groups: 8, 9

Frequency Polygons Worksheet fit for students in year 8 and year 9

Frequency Polygons (B)

Year groups: 8, 9

Frequency Polygons Worksheet created for students in KS3

Frequency Polygons (C)

Year groups: 8, 9

Frequency Polygons Worksheet suitable for students in KS3

Histograms (A) - Frequency Diagrams

Year groups: 8, 9

Histograms Worksheet suitable for students in KS3

Reading Two-way Tables

Year groups: 8, 9

Reading Two-way Tables Worksheet fit for students in year 8 and year 9

Sample Space Diagrams

Year groups: 8, 9, 10

Sample Space Diagrams Worksheet created for students in KS3 and KS4

Systematic Listing

Year groups: 8, 9, 10

Systematic Listing Worksheet perfect for students in year 8, 9 and 10

Using Venn Diagrams to Solve Problems

Year groups: 8, 9

Using Venn Diagrams to Solve Problems Worksheet suitable for Year 8 and Year 9 students

Box Plots (A)

Year groups: 9, 10

Box Plots Worksheet created for students in KS3 and KS4

Box Plots (B)

Year groups: 9, 10

Box Plots Worksheet suitable for students in KS3 and KS4

Capture Recapture

Year groups: 9, 10

Capture Recapture created for students in KS3 and KS4

Cumulative Frequency Diagrams (A)

Year groups: 9, 10

Cumulative Frequency Diagrams Worksheet perfect for students in year 9 and year 10

Cumulative Frequency Diagrams (B)

Year groups: 9, 10

Cumulative Frequency Diagrams Worksheet created for students in KS3 and KS4

Draw Time Series Graphs

Year groups: 9, 10

Cazoom Maths Drawing Time Series Graphs Worksheet suitable for Year 9 and Year 10 students

Experimental Probability

Year groups: 9, 10, 11

Experimental Probability Worksheet perfect for students in year 9, 10 and 11

Mutually Exclusive and Exhaustive Events

Year groups: 9, 10, 11

Mutually Exclusive and Exhaustive Events Worksheet suitable for students in KS3 and KS4

Naming Sets (A)

Year groups: 9, 10

Naming Sets Worksheet perfect for students in year 9 and year 10

Naming Sets (B)

Year groups: 9, 10

Naming Sets Worksheet fit for students in year 9 and year 10

Relative Frequency

Year groups: 9, 10, 11

Relative Frequency Worksheet fit for students in year 9, 10 and 11

Reverse and Combined Mean

Year groups: 9, 10

Reverse and Combined Mean Worksheet Suitable for Students in Year 9 and Year 10

Set Notation

Year groups: 9, 10

Set Notation Worksheet suitable for Year 9 and Year 10 students

Sets and Venn Diagrams (A)

Year groups: 9, 10

Sets and Venn Diagrams Worksheet suitable for students in KS3 and KS4

Sets and Venn Diagrams (B)

Year groups: 9, 10

Sets and Venn Diagrams Worksheet created for students in KS3 and KS4

Drawing Box Plots

Year groups: 10, 11

Drawing Box Plots Worksheet fit for students in Year 10 and Year 11

Drawing Box Plots from Cumulative Frequency Diagrams

Year groups: 10, 11

Drawing Box Plots from Cumulative Frequency Diagrams Worksheet suitable for students in Year 10 and Year 11

Equation of the Line of Best Fit

Year groups: 10, 11

Equation of the Line of Best Fit worksheet

Histograms (B)

Year groups: 10, 11

Histograms Worksheet fit for students in Year 10 and Year 11

Histograms (C)

Year groups: 10, 11

Histograms Worksheet perfect for students in Year 10 and Year 11

Interpreting Box Plots

Year groups: 10, 11

Interpreting Box Plots Worksheet perfect for students in Year 10 and Year 11

Interquartile Range

Year groups: 10, 11

Interquartile Range Worksheet fit for students in Year 10 and Year 11

Tree Diagrams (A)

Year groups: 10, 11

Tree Diagrams Worksheet created for students in KS4

Tree Diagrams (B)

Year groups: 10, 11

Tree Diagrams Worksheet suitable for students in KS4

Stratified Sampling (A)

Year groups: 11

Stratified Sampling Worksheet perfect for students in year 11 and year 12

Stratified Sampling (B)

Year groups: 11

Stratified Sampling Worksheet created for students inKS4

Using Algebra to Solve Probability Problems

Year groups: 11

Using Algebra to Solve Probability Problems Worksheet suitable for students in year 11

Using Algebra to Solve Probability Problems (with clues)

Year groups: 11

Using Algebra to Solve Probability Problems (with clues) Worksheet suitable for students in KS4

All worksheets are created by the team of experienced teachers at Cazoom Maths.

How do you solve the equation for missing values in statistics problems?

To solve the equation involving missing values in statistics, students need to work backwards from the formula. For finding a missing data point when the mean is known, they multiply the mean by the number of values to get the total, then subtract the known values. This reverse thinking applies to problems like 'The mean of five numbers is 12 and four of them are 8, 10, 14, and 15. Find the missing number.'

Students often make errors by adding when they should subtract, or forgetting that the number of values changes if an item is added or removed from the dataset. Mark schemes expect clear algebraic working, showing how the total was calculated before isolating the unknown. Teachers notice this skill appears regularly in GCSE questions worth 2-3 marks, where students must form and solve an equation from statistical information rather than simply calculating from given data.

Which year groups cover statistics in the maths curriculum?

Statistics appears throughout the National Curriculum from Key Stage 2, where Year 5 and Year 6 students begin interpreting tables, timetables, and line graphs before moving to calculating mean averages. The topic expands significantly at Key Stage 3 (Years 7-9), introducing median, mode, range, and more sophisticated data representations including scatter graphs and pie charts. At GCSE, students tackle cumulative frequency, box plots, histograms, and probability trees.

The progression builds from reading single values off charts to comparing datasets using multiple measures and making statistical inferences. Year 6 students might find the mean of six numbers, whilst Year 10 students must estimate the mean from grouped frequency tables and use frequency density for histograms. Teachers often use earlier year group worksheets for intervention when GCSE students show gaps in foundational skills like reading scales accurately or understanding what averages actually represent.

What are measures of central tendency and why do they matter?

Measures of central tendency (mean, median, and mode) describe the 'typical' value in a dataset, each offering different insights. The mean sums all values and divides by how many there are, the median is the middle value when ordered, and the mode is the most frequent. Students must understand which measure suits different contexts, recognising that the mean gets distorted by extreme values whilst the median remains robust, and that some datasets have no mode or multiple modes.

These measures underpin evidence-based decision making across STEM fields and everyday life. Climate scientists use median temperatures to track change without skew from heatwaves, medical researchers report mean recovery times in clinical trials, and retailers analyse modal shoe sizes to manage stock. Teachers can connect this to students' own experiences with school attendance data, football league tables, or social media engagement statistics, showing how choosing the wrong measure can mislead or misrepresent the underlying pattern in data.

How do statistics worksheets support progression in data handling?

Statistics worksheets build skills systematically, starting with straightforward calculations before introducing problems where students must extract information from diagrams, deal with grouped data, or solve equations involving statistical measures. The scaffolding typically moves from clear, complete datasets to those requiring estimation or interpretation, then to multi-step problems combining different statistical concepts. Answer sheets allow students to identify exactly where their method broke down, particularly useful when mistakes occur in forming the initial equation or misreading scales.

These resources work effectively for differentiated practice, where higher-attaining students tackle problems with missing frequencies or compare distributions whilst others consolidate finding averages from lists. Teachers use them for targeted intervention when marking reveals common errors like confusing mean and median, for homework to reinforce classwork on new diagram types, or for paired work where students check each other's calculations against the answers. The variety of question styles mirrors exam formats, preparing students for the range of statistical reasoning they'll encounter in assessments.