# Advanced statistics teaching resources: Discrete random variables

Resources and ideas for mathematics, advanced statistics, discrete random variables, written by teachers to support teaching and learning

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#### Statistics: Complete (S1) Bundle - designed for Edexcel, but suitable for all S1 courses

Designed to teach all the main aspects of the S1 statistics course. Designed for the Edexcel syllabus, but suitable for all different S1 syllabus's. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

#### Discrete random variables s1 edexcel

notes and solutions to discrete random variables, questions set from S1 edexcel book

#### Probability distributions, IBSL

Presentations for IB Standard level Mathematics covering the following objectives:Concept of discrete random variables and their probability distributions.Expected value for dicrete data.Binomial distribution and its mean and variance.Normal distribution, Standardization of normal variables, and inverse normal calculations

#### Expected values and variance of the binomial distribution

Power Point presentation, 6 slides, Explaining how to calculate the expected values in a binomial distribution, which is the mean and how to calculate the Variance and standard deviation, based on Mathematics IB Standard level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlSjhvcmxid3pXZzQ/view?usp=sharing

#### Practice Examination Questions

Statistics 1 Further Pure 1

#### Statistics and Probability

Discrete and continuous random variables, expectation algebra, chi-squares and goodness of fit, hypothesis testing, confidence levels CLT and distribution of sample means..

#### Statistics Expectation Algebra

Introduction to expectation algebra with theory and solved examples.

#### Geometric, binomial, Poisson and negative binomial distributions.

Introduction, solved examples, theory, GDC screens. Full lessons.

#### International Baccalaureate Standard Level bundle

All my published IB Standard Level resources including full revision package at a discounted price.

#### AQA Statistics 1 on a page

Revision sheet for AQA Statistics 3. Could be printed out A4 to use as a revision aide-memiore or A3 to use as a poster.

#### MEI Statistics 1 on a page

Revision sheet for OCR MEI Statistics 1. Could be printed out A4 to use as a revision aide-memiore or A3 to use as a poster.

#### Discrete Random Variables

A presentation that shows students how to show discrete random variables in different ways. It also shows how to find the mean and variance of discrete random variables and how to use linear scaling to solve general functions of x. 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

#### Statistics 2

This bundle includes all the topics needed to cover the S2 AQA course including; Discrete and Continuous Random Variables Poisson Distribution Estimation Hypothesis Testing Chi-squared

#### Monty Hall Problem

A look at the Monty Hall problem in an easy-to-understand way.Great introduction to probability suitable for KS3 up to A-Level.Three doors. Behind one is a car, behind the other two are goats. You pick a door, a goat is then revealed behind another door by the host. You have the option to switch to the remaining closed door or stick. What do/should you do?

#### A level bundle pure & statistics

View in slideshow from beginning.

#### Statistics: Expectation and varience of discrete random variables PPT

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 learning why and how to find the expectation and variance.

#### Statistics: Expectation and variance for a binomial distribution PPT

This is a PowerPoint (lesson two) to go with the previous PowerPoint on expectation and variance to build on looking at how to link the variance and expectation for binomial distributions. The PowerPoint mainly looks at building on understanding and why the formula's work and how to use it.

#### Discrete random variables and expected values.

Power Point presentation, 11 slides, Explaining what discrete random variables are is how to use it to calculate probabilities and the theoretical mean, 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/0B8z00qLZV7OlMnFjS3FwTlRPU2s/view?usp=sharing

#### Statistics: (S1) Coding or making the variance or mean easier (+ rule sheet)

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, thanks.

#### Statistics: (S2) Linear Adjustments, Combinations of random variable, normal / poisson distribution

This teaching PowerPoint contains 4 whole lessons!Lesson 1: Linear adjustment of random variablesLesson 2: Linear Combinations of random variablesLesson 3: Linear combinations for normal distributionsLesson 4: Linear combinations for Poisson distributions+ Rule sheet HANDOUTThese lessons are very structured, with clear lesson objectives, clear examples and small activities to build understanding of what linear adjustments/combinations do and why the rules are the way they are. The lessons do link to a textbook that I use, however, for copyright reasons I can not publish these exercises, but this is easily substituted for another textbook that you use to accompany your course. I have found these PowerPoints to be very effective in teaching this topic. NOTE: Feel free to browse my shop for more free and premium resources and as always please rate and feedback, thanks.

#### MEI stats 2 power point presentation

This presentation covers the Poisson distribution, The normal distribution, samples and hypothesis testing and Bivariate data. Including approximations and hints and tips. The resource is also extremely useful just before exams if printed out as flash cards to induce mathematical thinking before students enter an exam

#### OCR S1 on a page

Summary of OCR Statistics 1 module.Could be printed back to back as an aide-memiore, or single sided for display.

#### Probability and Discrete Random Rariables International Baccalaureate Standard Level

Enormous powerpoint (107 slides) that covers chapters 22 and 23. Everything can be taught directly from the Powerpoint with example questions and practise questions all included on the slides. Also filled with different interesting probability facts and activities to make the teaching and learning more interesting. This includes Explainations of &quot;The Monty Hall problem&quot;, &quot;The Birthday problem&quot;, &quot;Penny's game&quot; and many others integrated into the powerpoint with the appropriate topics.

#### Discrete Random Variables Presentation, Worksheet & Answers

Designed to be used with WJEC Statistics 1, includes presentation with introduction into the topic, examples and the rules/formulae to be remembered. Worksheet includes answers.

#### Discrete Random Variables

Powerpoint: view in slide show. Tables of probabilities and how to obtain the mean, variance and standard deviation.

#### Statistics 1 Revision - Lock Puzzle with Answers

Statistics 1 Revision Lesson - Mixture of Questions that all lead to opening a coded lock.Topics include Standard Deviation, Stem and Leaf, Expectation and Variance, Permutations, Venn Diagrams.I use a wooden box that I made with a cheap chain around it and the colour 'Bosvision' coded lock from amazon. I little bit of an expense but worth it.

#### Team Revision Tasks - Statistics 1 (Edexcel)

These are an attempt to break from the monotony of past papers in the run up to exam season. I have taken 2 questions from past papers and put them on one sheet; I will photocopy onto A3 for students to have a go in groups and discuss. The aims/rules etc are all listed if you wish to follow them and hopefully they all make sense. I have also provided answers.

#### Poisson or Binomial

11 questions in which students have to decide whether the distribution is Poisson or Binomial. Could be used with mini-whiteboards. The animation reveals the correct answer on each slide.

#### S1 Chapter 8 - Discrete Random Variables

Based on the Edexcel syllabus. Includes slides, an assessment and compilation of exam questions with mark schemes.

#### Statistics 2 - 15 min exam question challenges

A collection of exam question challenges for the Edexcel Statistics 2 specification. Each worksheet consists of 2 or 3 sets of questions arranged in difficulty order. Each set of questions should take between 15-20 minutes to complete. How they are used can be up to the teacher, I have used these as either starter or plenary activities during review lessons where students are given a choice of which set of questions to complete in the 15 minute time limit. Then in pairs or groups work through any problems they may have encountered.