## GCSE maths - statistics resources

Discover our collection of GCSE statistics lessons, activities, powerpoints and notes. These resources are hand-picked by the Tes Maths Panel for their relevance to the 9-1 specifications - use them for planning, homework and revision.

This page contains the very best resources for teaching sections S1 to S6 from the GCSE maths specification (first examined in 2017), combining structured lessons and engaging activities. Students often struggle with many aspect of statistics, whether it is processing data or representing it in one of the many statistical diagrams. This wealth of resources should help you support your students in developing both and ability and a love of statistics!

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## Averages and range from a list of data

#### Dotty Thinking - Idea for Teaching Statistics

This is a video to accompany my article for the TES Magazine ('Dotty Thinking') that offers up a simple, fun idea to get students engaged and making meaningful data comparisons, including mean, median, mode, range and a whole host of statistical diagrams including cumulative frequency, histograms and bar charts. Click the links below to see the article and download the resources (Video tutorial, PowerPoint and Excel). Ideal for KS3 and GCSE students.

#### Averages

Mean, Median, Mode Recognise the difference between the three measures of average. Using a frequency chart, pupils change the frequencies of the numbers 1 to 9 to see the effect on the mean, median and mode.

#### Averages from a Frequency Table - Visual

This resource gives students the opportunity to visualise what a frequency table actually means. It focuses on finding the Mean, Median and Mode.

## Averages and range from grouped data

#### Estimating the mean for grouped data - Eurovision

A worksheet that gets students to estimate the mean of the UK's score at the Eurovision Song Contest to date - quite topical for the moment! Differentiated so at first students get given the table to estimate the mean and the data is grouped for them. Further examples require students to make their own tables.

#### Averages from Grouped Data - Differentiated Booklet

Booklet with assessments at the start and end of the lesson on:

- Averages from a list
- Mean from a frequency table
- Mode, Range, Median from a frequency table
- Averages from grouped frequency

#### Averages from Grouped Frequency Tables

A simple powerpoint that starts with an example of finding the averages from a frequency table, and goes on to find averages from a grouped frequency table. The word file is a set of notes to stick in for simple tables (meant as revision). Let me know what you think.

## Sampling

#### GCSE - Data Collection

Covers all parts of the GCSE syllabus, including sampling methods (random and stratified sampling). Powerpoint presentation and associated worksheet.

#### Maths GSCE: Statistics: Sampling Techniques.

This activity requires students to read descriptions of different sampling techniques and decide which situations match with most suitability.

#### Sampling (MEP – Year 9 – Unit 18)

The topic of Sampling from the Year 9 book of the Mathematics Enhancement Program. For information about these resources and an index for the whole collection please visit http://www.mrbartonmaths.com/CIMT.htm Keywords: Sampling, Sample, Data, Statistics, Random, Stratified, Census, Opinion Poll, Population, Biased, Unbiased, Systematic, Quota, Ratio, Technique, Vote, Result.

# Representing data

## Bar charts

#### Drawing Bar Charts

PPT for drawing bar charts, beginning with pictograms and building towards comparative bar charts. Requires students to collect and represent their own data using tally charts, frequency tables and bar charts.

#### Drawing a Bar Chart Collective Memory

Starter Activity - Get pupils to work in pairs or threes, they should take it in turns to come and look at the poster, they have to remember what they can and re-create the poster on a sheet of A4 or in their books. Give them around ten turns to come up. Discuss memory strategies throughout the activity. Poster they have created can then be used for reference and discussion throughout the lesson. Pupils love this and I find it a great way to get them to teach themselves about a topic.

#### Unlabeled Bar Chart

A PowerPoint to allow discussion about an unlabeled bar chart. Good for looking at trends in results and reminding children why the labels are important.

## Pictograms

#### Pictograms Lesson Level 4

Grade F or level 4 lesson on pictograms. Let me know what you think. Used with a smart board to draw on in some sections.

#### Maths: Introductory Lesson to Pictograms - data.

This is a resource for my low ability Year 7 maths group on reading pictograms. It covers reading simple pictograms where each picture represents one, pictograms where pictures represent more than a value of one and focusses on 3 core skills: working out the value for each line, using this information to order the results (most popular to least popular) and working out the total number of responses to the survey. Notes are included on the slides. Please leave me feedback if you use this resource. Included IS a version saved in the previous PowerPoint version.

#### Pie Chart/ bar chart/ pictogram/ table and angles (Matching activity)

Match up the various tables, graphs and charts into sets,
one or two of the cards are missing and will need to be recreated.

## Pie charts

#### Pie Chart Lesson

This was taught as a 2 hour lesson to my mid-level year 10 students. Most students managed to achieve both of the learning objectives within the lesson and all achieved with the consolidation tasks.

The starter is designed to assess understanding of fractions, equivalent fractions and as proportional representations.

The first task is scaffolded to allow a soft entry into the task and their is an extension to build the understanding of percentages representing proportion of population.

The second extension builds understanding of fractional degrees as a plotting point.

Included in the lesson:
Starter - Fraction assessment
Extension
Task 2 - Drawing Pie Charts
Extension
Exit ticket - Plenary
Follow on tasks to - Consolidate the skill, Apply the skill & Extend the skill
PowerPoint

#### Pie Chart/ bar chart/ pictogram/ table and angles (Matching activity)

Match up the various tables, graphs and charts into sets,
one or two of the cards are missing and will need to be recreated.

#### Pie Charts - Working backwards to frequency tables

Pupils must measure angles and 'work backwards' to figure out the values represented by the sections of the pie charts. Brief instructions given at the top of the worksheet.

#### Funny pie charts

A few pie charts that represent funny ideas or jokes. The idea is that students get a feel for how pie charts work. I used it as a Y7 starter to generate discussion. The 'how often charts don't make sense' pie chart is particularly good for this. As always, please rate and comment with suggests and ideas. Thanks :)

## Stem and leaf diagrams

#### Stem and leaf powerpoint lesson.

A lesson teaching the basics of stem and leaf diagrams with a nice colourful example.

#### Stem and Leaf Diagrams Worksheets.

KS3-4 (11-16 year olds) Write-on Worksheet split into three sections, reading values from stem and leaf diagrams; drawing stem and leaf diagrams and calculating averages from stem and leaf diagrams. One version has more structure to it. Now also included are versions with the keys on.

#### KS3/KS4 Maths; Stem and Leaf Top trumps

An interactive way for pupils to compare stem and leaf diagrams. They are great to laminate so then the answers can simply be written on them in pen and wiped away ready to use again! would be grateful for feedback on how you found them as an activity, thanks!

#### GCSE Maths Takeaway 49 - Stem and Leaf Diagrams

A 5 question quiz to assess one of the GCSE Maths Takeaway topics. Visit http://www.mrbartonmaths.com/gcsetakeaway.htm for exam questions, videos and solutions to GCSE Maths Takeaway.

These free Diagnostic Questions quizzes allow you and your students to identify, understand and resolve key misconceptions. Your students can answer them on their mobiles, tablets or computers. If they get a question wrong, they can access 100s of explanations written by students from all around the world until they find one that makes sense to them. As a teacher, you are presented with the data from each quiz, together with your students' explanations, and the option to compare results with any other cohort, thus giving you deep insight into your students' level of understanding.

## Cumulative frequency diagrams

#### Cumulative Frequency and Box Plots lessons

3 lessons of powerpoints and worksheets covering drawing and using Cumulative Frequency Curves and Box Plots. If you like this resource then please check out my other stuff on here!

#### Cumulative frequency, mode, median mean and tabled data (matchup)

Two sets of data and corresponding statistical information. Match up the two sets by calculating and graphing.

#### Box Plots and Cumulative Frequency Curves

A load of resources aimed at teaching Cumulative Frequency Curves, Box Plots and then putting the two together. Included are a couple of notes handouts that follow the PPT so students don't have to copy loads of notes and a couple of worksheets to allow students practice what they&'re taught and assess their understanding.

#### Cumulative frequency past paper structured wsheet

A worksheet using past paper questions which have been split up into 3 sections for easy differentiation by ability. Each question has a section A, B and C. A asks students to fill in the Cumulative frequency table (weakest students should be able to do all those, even if they can't access the rest). Middle students should be able to do A and B (draw the graph) and then in part C are some interpretation questions. Ideas? Corrections? Criticism? Maths jokes? Please comment below!

## Box plots

#### Comparing Box and Whisker Plots

Comparing Box and Whisker Plots - Multiple choice questions

#### Interpreting Box Plots Treasure Hunt Game

KS4 Maths Activity. Box and Whisker plots revision. Treasure Hunt activity (like match cards but round the classroom - see instructions) on interpreting box plots. Differentiated with 2 levels, low level involves only reading off values and the range, higher level requires understanding of skew.

#### BOX & WHISKER GROUP ACTIVITY

NEW COMPUTER GENERATED BOX PLOTS ADDED 09/07/13 - thanks to TES member Rebecca (McBec) Sticky tape a box & whisker graph onto the back of each student. They need to move around é ask questions to find out their 5 scores to draw up 'their' box é whisker plot. Suggest you limit questions to a YES/NO answer é only 1 question per person (so they move around to ask different students). Did this just today with 16 yr olds , last period of a Friday é they loved it!

## Frequency diagrams and frequency polygons

#### European Football Attendances Frequency Polygons

I really wanted some frequency polygon work but it is very thin on the ground, so I came up with this. I have also linked the website from which I got all the data. There are two versions; one (Raw Data) where they must tabulate first, and a second (Data Tables) for those you just want to get on with graphing and interpreting.

#### Frequency diagrams and polygons

A video tutorial on frequency diagrams and polygons with practice questions

#### KS3: Frequency Polygons

PowerPoint and worksheet on frequency polygons. Includes a NRICH task.

## Histograms

The resource I always use to introduce histograms.

The context is that I've asked various groups (eg Year 7, Year 8) to do a simple jigsaw puzzle and timed how long they took.

The sheet starts with "read only" questions, then drawing questions then exam style questions. The scales constantly change.

#### Histograms revision

Designed for higher tier GCSE students, this resource includes two questions on each of the key skills. I use one as an example and one as independent pupil activity.
The pdf exactly matches the flipchart. Both demonstrate drawing the histogram, drawing a frequency table from a histogram, moving forwards and backwards between graph and table and, finally, some applications questions modelled on Edexcel's harder questions.

#### Histogram activity Understanding Frequency Density

Paired activity. Suitable for KS4. This activity attempts to get students to think about frequency density and how it is used in the construction of a histogram. The is a distinctly 'puzzle' feel to this task, which can take a good half-hour working in pairs.

## Scatter diagrams

#### Correlation and cause

Introduction to the area of correlation and cause. Examples of correlations that imply causation and some that do not (due to a coincidence or third variable). Useful for 21st Century Science, particularly topic C1 - Air Quality.

#### Scatter Diagrams

(a) Draw and interpret scatter diagrams.
(b) Identify correlation (e.g. "strong negative")
(c) Draw a line of best fit and use to predict values.
(d) Predict correlation (including strength) from real-life examples when data not given (e.g. house price with distance from London).

#### Correlation Street - Scatter Graphs

Help out the famous Wetherfield residents with their data issues by drawing and using scatter graphs.

## Two-way tables

#### Two Way Tables Worksheet - GCSE - Exam Practice

A worksheet to practice exam style questions on two way tables. Recently edexcel have been asking questions on two way tables that don't actually have a two way table drawn. This worksheet begin with them drawn out but dispenses of them at the end for them to be drawn by themselves.

#### Two Way Tables - Pregancy Data - Stats Lesson

A statistics lesson based on more complex two way table exam questions, explored by looking at the different types of data available re: pregnancies. An ideal lesson for KS3 / GCSE classes

#### Differentiated (RAGE) Two Way Tables - www.TheMathsProfessor.com

A (Red Amber Green Extension) differentiated activity on Two Way Tables.

Please check out the new 1-9 GCSE/KS2 SATS takeaway on the website!

#### Two Way Tables

A card sort starter on interpreting information from Two Way Tables. Lesson slides on powerpoint show students how to complete two way tables and find probabilities through these. Worksheet supports this phase, with answers on the slides. Plenary on creating two way tables when there are no tables at all. I am on twitter: @mrskimmckee

## Frequency trees

#### Frequency trees - Explanation and Exploration

This power point explores frequency trees and how they work. I've created a number of exam-style questions and included plenty of opportunity for discussion.
Detailed notes included for teachers in the comments section of the ppt to help with explanations.

#### Frequency Trees

Frequency tree resources- new content for GCSE

#### Frequency Trees

easy aand hard worksheets for this new GCSE topic

## Line graphs and time series

#### Line Graphs Activity

Differentiated 3 ways and easy to edit. Good for introducing line graphs, used with Y6 pupils being introduced and was very effective. Update Jan 2013 - MA task is no longer frequency. HA task made more challenging.

#### Line graphs

Powerpoint on line graphs, practise plotting one with data. Worksheets with data and blank graphs for chdn (LA/HA) to plot the data. Hope this helps!

#### Time Series and Moving Averages

Complete lesson with all handouts for time series and moving averages.

This was used for a year 9 interview lesson. The lesson went very well and I got the job :)

Starter handouts are at the end of the notbook file, or can be downloaded separately.
The main activity is three - way differentiated and can be downloaded separately.

There are lots of opportunities for rich discussions on interpreting the graphs.

The green activity shows nicely how moving averages smooth data (using more points does more smoothing), but can also move peaks and troughs.

All ideas are pulled together in a discussion based plenary.

## Data: types, collecting and questionnaires

#### Lola the dog data quiz

Powerpoint explanation of Qualitative, discrete and continuous data with notes. Followed by quiz for which data type they would use. Used with years 7-11 with mini whiteboards for those being introduced to principle and Q&A for those requiring a refresher

#### Writing Questionnaires (Bad Questionnaire Starter)

I started the lesson by just handing out a terrible questionnaire on the eating habits of teenagers as if I was collecting data (The class were outraged). They discovered the problems and then in groups wrote rules for writing a good questionnaire. The mid section of the lesson was using the textbook but then for a plenary they rewrote the bad questionnaire. I found the bad questionnaire starter on here from another tes uplaoder and adapted it to suit.The 'Eating Habits of Teenagers' is A5 size

#### Hanging Out The Dirty Data

Ways to find out those accidental and not so accidental errors in your results!!! (Cleaning data and interpreting tables for KS2 and KS3.)

#### GCSE Statistics - Categorising types of data

Looking at definitions for types of data, and then grouping them accordingly, before moving onto how to group data. Please note, all tasks are on accompanying worksheet.
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