#### Standard Deviation Horse Racing

This activity invites learners to use calculator skills to find the mean and standard deviation, using statistics students work together to decide on which horse will do the best of 5 races. The powerpoint presentation animates the horse race.

#### Statistics: (S1) Skewness (Pearson's / Quartiles / Standard Deviation) + worksheet

This is a whole lesson looking at the different aspects of skewness, what it is, how to calculate it and maybe most importantly interpreting the results in terms of the data. The lesson look at how to calculate using Pearson's measure of Skewness, the Quartile Skewness and also how to calculate using the IQR for Outliers. 14 slides. The lesson includes a starter, learning objectives, keywords, superb clear teaching slides and examples, worksheet with mark scheme and plenary. NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!

#### Statistics: (S1) Combining Data Sets (Mean & Standard Deviation)

This is a whole lesson on looking at combining data sets, in particular combining the mean and standard deviation. It comes with a starter, learning objectives, different small activities to assess understanding, lots of examples, and plenary. The strength of this resource (16 slides) is the excellent examples and teaching content. When looking through my files I couldn't find a particularly great worksheet or activity on this, so I have included a mixture of things that I had already, which have some good questions in. I looked through various textbooks I have and the best I saw was the Cambridge one, but again it only had a few really good questions in. NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!

#### Statistics: Binomial Distribution BUNDLE (3 Lessons)

This is an excellent bundle looking at all the different aspects of the binomial distribution. 1. Investigation and Introduction 2. Solving problems / calculating probabilities 3. Expectation and variance NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!

#### Statistics: Normal Distribution BUNDLE (4 Lessons) - Perfect for S1 and S2

This is four excellent lessons. All the lessons are approximately 25 slides and should be enough for a long double A-Level lesson (1hr 40 - 2hours) Lesson 1 - Standard Normal / Introduction Lesson 2 - Non Standard / Standardizing Lesson 3 - Backwards and Problems Lesson 4 - Approximation for Binomial Distribution NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!

#### Statistics: (S1) Normal Distribution 3 - Backwards and Further Problems (+ worksheets)

This is the third of four lessons on the normal distribution, which builds on the first two lessons. This is your A/A* material, looking at different types of questions and problems. This is an excellent resource, with lots and lots of excellent teaching slides, 21 slides. Specifically, this lesson is for teaching how to work backwards and different questions. It does touch on linear combinations, so I recommend teaching that first (also available from my shop) and looks in detail at little issues/ mistakes that people can make. This is a vital lesson for your top end students and gives less able students more time to practise the normal distribution. I have therefore included two worksheets (exam questions) aimed at different abilities students and then come with accompanying mark schemes. NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK, thank you!

#### Statistics: (S1) Normal Distribution 2 - Non / Not Standard (+ Worksheet)

This is the second of four lessons on the normal distribution, which builds on the first lesson that introduced the topic by looking at what to do when data is not in the standard normal form. This is an excellent resource, with lots and lots of excellent teaching slides, 21 slides. Specifically, this lesson is for teaching what is the normal distribution is, the criteria for using it and how and HOW TO STANDARDISE, and again how to use lookup tables to solve problems that are in a standard normal form having standardised. I have also included questions I often used with accompanying mark scheme. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thank you.

#### Statistics S1

Presentations that covers the statistics unit of A level maths

#### Further Maths for Engineers

Powerpoints that cover the BTEC further maths for engineers unit

#### All my resources

Doles exactly what it says on the tin. Everything I have ever uploaded in one place

#### Standard Deviation Worksheet

8 questions on standard deviation. The first two questions include the table for ease. The last question is a comparison between standard deviation and the mean.

#### Mathematics Statistics 1 Lessons

Mathematics Statistics 1 Lessons This is a set of lessons for S1 Statistics 1 A level Mathematics. The resources includes Powerpoints. Powerpoint include: Learning objectives Questions on the topic Important information written in red boxes to scaffold learning. Topics: Introduction Averages Measures of Spread Correlation Regression Probability Binomial Normal Theory Confidence Interval Revision Poisson I hope you enjoy these lessons, they can be used in the following ways: To deliver a course with reduced planning but not reducing quality of the lesson. As a basis for an observation lesson to save time preparing resources. To give to students for out of lesson learning. To support teachers who are new to this topic, again to reduce planning time. As a bases for your own lessons where you can include exam questions to each presentation. As an activity where the questions can be printed and cut out.

#### GCSE Maths Bundle

18 resources, including lessons, worksheets and cart sorts. All suitable for the new 1-9 GCSE. Includes a No Pens Day Wednesday lesson and resource, which is great for promoting literacy and oracy.

#### Time series, moving averages and mean seasonal variation

GCSE Statistics: Three worksheets on: 1) Comparing time series graphs and then plotting. 2) Calculating moving averages and plotting. 3) Calculating the mean seasonal variation. Peer assessment task on comparing time series graphs (GCSE exam question)

#### Data Handling Resource Bundle

A collection of fairly random data handling resources for students from 11-18. (Plus a couple of resources that are free and I think are worth a look)

#### Cumulative frequency

Power Point presentation, 7 slides, Explaining how to calculate the cumulative frequency, draw the cumulative frequency graph and use it to estimate te median quatiles and IQR , based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlZTlYRUN3dmhxZFk/view?usp=sharing

#### Standard Deviation

A simple but very clever way to introduce standard deviation. Students thoroughly understand the purpose and how to use standard deviation being taught with this resource. Pair it with a few extra questions from a textbook to make a full lesson.

#### Introduction to Standard Deviation

Guess the age of a celebrity then compare against the real age. Then use class data to develop the idea of standard deviation.

#### Variance and Standard deviation

Power Point presentation, 7 slides, Explaining what is variance and standard deviation, and their advantages. Use examples to explain how to calculate them , based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlZFdDMldqeTFOajA/view?usp=sharing

#### Averages and Standard Deviation

A 12 page presentation that reminds learners about Mean, Median, Mode and range including mean from a frequency table. It also introduces standard deviation and variance and then leads on to linear scaling. The presentation also comes complete with questions and answers. The presentation can be used by A level students or higher GCSE students SMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

#### Utilize Measures of Center and Variability - 7.SP.4

Draw inferences from two data sets by using measures of center and variability. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Compare two sets of data using center (median and mean) - Compare two sets of data using variability (MAD and IQR) - Analyze and draw inferences across two data sets Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.SP.4 Visit commoncoremath.net for additional help.

#### Analyze and Compare Data Sets - 7.SP.3

Identify data landmarks such as mean, median, M.A.D. and interquartile range using a variety of data sets. Make informal comparison of data sets focusing on variability and overlap. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Identify data landmarks in a variety of data sets - Measure variability within and across data sets - Recognize variability across two data sets - Understand median is related to interquartile range and mean with M.A.D. Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.SP.2 Visit commoncoremath.net for additional help.

#### Use Data to Draw Inferences - 7.SP.2

Collect and utilize multiple samples of data to make generalizations about a population. Attention should be paid to variations in the samples Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Make inferences based on of multiple random samples - Answer questions regarding populations and sampling - Determine total population based on samples - Make predictions regarding total populations - Describe a model for sampling dependent on population Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.SP.2 Visit commoncoremath.net for additional help.

#### Statistics: (S1) Standard Deviation and Variance (+ lots of resources)

This is a whole lesson to teach the basics of what the standard deviation is and how to calculate it. It comes with a starter, key words, a link to a video, some great examples, some key questions, lots of activities embedded, worksheets and plenary. 18 slides! This is suitable for both S1 at A-Level or KS5, but also excellent for those studying Statistics GCSE of doing it in other subjects, such as Geography. This does NOT go into areas like the normal distribution and some other applications of finding the standard deviation, this is just the first lesson on basically learning what it is and how to find it. I have also included a basic excel calculator thing I created to help me find answers quickly and this also could be something to do with the pupils as a lesson in itself. I have included two sets of worksheets (exam questions with answers). NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!

#### Statistics: Averages 5 - Moving Averages (Time Series) + lots of resources

This is a whole lesson on moving averages with lots of resources. This includes some historical house price data I found going back to the 70's, plus two worksheets. The lesson includes: + a starter on finding the median + key words, key questions and learning objectives + some very clear teaching slides, + some data with differentiated tasks with answers + basic plenary. I have found the structure of the lesson very helpful to help all pupils understand moving averages. This is also helpful for GCSE Statistics. NOTE: Feel free to browse my shop for more free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!

#### Time series, Moving averages

Lesson on time series, moving averages. Including centred averages as well. Smart notebook file

#### S1 Measures ofSpread, Location and averages, cumulative frequency graphs and histograms + game.

1) Fulls Notes and Answers for the topics of Measures of location,spread,average, cumulative frequency graphs and histograms. 2) Highest wins game- Cut out slips of papers and hand to students. Students work out the mean,mode,median,IQR and standard deviation. The person who has the highest value in each category wins. No-one should win twice! Answers highlighted in red

#### Statistics: (S1) Making the Mean and Variance Easier (CODING)

This is a teaching resource to help pupils understand coding and the basics of linear adjustments/combinations and how to calculate back and forward from the original data to the coded data. It comes with a good starter, a look at re-arranging and then why coding is used and how it is used. Links to past exam questions, however, it does not come with lots of questions as at that point of practice, I use our S1 textbook. Also a rule sheet handout! NOTE: Feel free to browse my shop for more free and premium resources and as always please rate and feedback, thank you.

#### Statistics: Binomial Distribution 3: Expectation and Variance

This is a lesson 3 of a great series on the binomial distribution, but a short PowerPoint (9 slides) as there is not a huge amount in this topic (reflected in the price)... it is still a great resource with starter, learning objectives, clear and concise teachings and examples and quick plenary. However, I do highly recommend getting the very thorough first two lessons in the series! The lesson is available as a bundle or complete teaching on this topic. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thank you.

#### Statistics: (S1) Expectation and Variance of Random Variables

This is a whole lesson, which includes teaching slides, as well as activities for ALL pupils to engage with the process of going from a probability distribution to learn why and how to find the expectation and variance. 15 slides. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thank you.

#### Statistics: (S1) Interpolation - Estimating the Median (+ worksheet)

This is a whole lesson on interpolation with a worksheet. UPDATED, 18 slides. It includes: A starter activity, that links into why use interpolation and what it is for and then a simple, but clear example of how to use interpolation to work out the median. A further activity linking back understanding to the starter and a couple of key question to assess/check understanding. For further practice, I have either been using the worksheet included, which is a bunch of tables to use for practice or past paper exam questions or both. It includes ANSWERS and a plenary. NOTE: Feel free to browse my shop for more free and premium resources and as always please rate and feedback, thank you.

#### Statistics: (S1) Regression Lines and CODING (+ resources)

This is a whole lesson on regression lines and a look at coding as well. Coding comes up in three or four topics, but the bulk of my teaching on it is on the topic of making the variance easier. 18 slides + resources. Specifically, this lesson is for teaching what a regression line is, to understand its links to real-life situations (excellent clear teaching slides and examples) and calculating a regression line for a given set, including using coding and a look at interpolation and extrapolation. The lesson does include a starter, lesson objectives, keywords, superb teaching slides and examples, exam questions with mark scheme and plenary. NOTE: Feel free to browse my shop for more free and premium resources and as always please rate and feedback, thank you.

#### Statistics: (S1) Product Moment Correlation Coefficient (PMCC) + Resources

This is a whole lesson looking at correlation between variables and how to quantify this, by using the PMCC to do so. The lesson includes some fantastic examples and lots of detailed teaching slides, to help ALL pupils understand a tricky subject. UPDATED, 22 slides. It comes with a starter (quick look back at scatter diagrams) and then onto what the PMCC is and why it is important. A look at the different ways to calculate the formula with a working example for the pupils to go through. I have also attached a Edexcel spreadsheet to go through the table with the pupils, which can be used as a foundation for another lesson if you wanted. I have attached practise exam questions with mark scheme. The lesson also comes with learning objectives, key words, video link and plenary. NOTE: Feel free to visit my shop for more excellent free and premium resources and please rate and feedback on any purchases. thank you.

#### Statistics Variance Proof

Ever wondered where the formula for variance comes from (the mean of the squares - the square of the means)? I got bored one day and put my thought pattern into a power point. I hope it flows well and makes sense!

#### Quartiles, Deciles, Percentiles: Is 30 mph appropriate?

An activity based on a BBC article about the 30mph speed limit and testing whether an 85th percentile rule may be appropriate for setting new speed limits on roads. The sheet includes an extract from the original article and then some (fabricated) data about speeds recorded on two roads for students to test. They should find the 85th percentile, median and 3rd quartile for each set and assess whether 30mph is appropriate for that road. This activity can lead to a discussion on grouped frequency tables, interpolation, safety and much more!

#### Standard Deviation - Mean and Spread of Data

Large Standard Deviation - Wider spread around the meanSmall Standard Deviation - Close cluster around the mean

#### Grime Dice

Age: 14+ Time:1-2 hrs. Based around a set of transitive dice (invented by James Grime) which have a rather surprising set of properties,they are NOT the classic 6-faced dice with numbers one to six on each face - they are far more interesting! Played against each other, there is no dominant dice (red dice beats blue dice, blue beats green yet green beats red). Students find them fun to play with and this provides the motivation to analyse the probabilities. Create your own or use of a digital simulation provided. Knowledge of possibility spaces and/or tree diagrams would certainly be helpful.

#### The Expected Mean E(X)

In this tutorial I show you the meaning of this function and how to use it to calculate the expected mean for a discrete random variable. To see the full index of tutorials visit http://www.examsolutions.co.uk/A-Level-maths-tutorials/maths_tutorials_index.php#Statistics

#### The Two Discrete Random Variables

Task suitable for KS5, S1. Another task or 'puzzle' that looks at a statistical idea in a pure mathematics kind of way. Quite hard work for all except the most able.

#### Experimental Probability: Double or Add?

Whole class activity. A simple idea; how does rolling a dice and doubling differ from rolling two dice and adding? Excel comes to the rescue here, and no real dice have to be found.