Advanced Higher Statistics Pupil Notes for Stats 1 and 2

<p>A worksheet with answers to help pupils practice using the geometric mean formula.</p>

A presentation that introduces the main points about arrangements.

<p>Presentation on Statistics covering;</p> <ul> <li>Data types</li> <li>Bias</li> <li>Data skews</li> <li>Standard deviation</li> <li>Standard scores</li> <li>Z Scores</li> </ul>

Another great lesson from Lisa McNulty.

<p>These PowerPoints form full lessons of work that together cover the new A level Maths course for all exam boards. Together all the PowerPoints include;<br /> • A complete set of notes for students<br /> • Model examples<br /> • Probing questions to test understanding<br /> • Class questions including answers<br /> • Individual whiteboard work<br /> • Links to exercises in ‘The Textbook by CGP’ these can easily be edited for your textbook<br /> The PowerPoints can be used in the lesson and also given to students that have missed a lesson<br /> I have added ‘A2 level maths 13 - Composite functions’ for free download<br /> Please leave a review as it will really help me to improve my resources</p> <p>Statistics – Normal distribution covers;</p> <ul> <li>Understand and use the Normal distribution as a model; find probabilities using the Normal distribution</li> <li>Link to histograms, mean, standard deviation, points of inflection and the binomial distribution</li> <li>Select an appropriate probability distribution for a context, with appropriate reasoning, including recognising when the binomial or Normal model may not be appropriate</li> </ul>

<p>This 270 slide Powerpoint covers all of the first year of the single A Level Applied course (based upon the Edexcel course). It includes explanations, worked examples and questions for students to do. I have included everything, possibly more than you may need but I’d rather give people the option to skip a slide than have to make something up on the spot. Colleagues of mine used this during the first year of the new course. The “Forces and Motion” part has been edited.</p>

Another great lesson from Lisa McNulty.

<p>Slides to cover:</p> <ul> <li>Pascal’s Triangle</li> <li>How it relates to the binomial distrubution</li> <li>How to calculate binomial distributions</li> <li>Spot the mistake</li> <li>Exit Task</li> </ul> <p>There are questions and explanations included in the slides but no activity as of yet. Will be coming.</p>

<p>Lesson slides that cover the 10 types of data needed for the GCSE Statistics Specification.<br /> Please note that this only contains slides.</p>

<p>A series of statistics questions that cover everything that might be needed for an Advanced Higher Geography project. Largely overlaps with Advanced Higher Statistics. Topics included are:</p> <ul> <li>Descriptive statistics (mean, median, mode, range, interquartile range, standard deviation, standard error, coefficient of variation)</li> <li>Inferential statistics (chi-squared)</li> <li>Linear regression</li> <li>Nearest Neighbour analysis</li> </ul> <p>Full solutions at the end.</p>

<p><strong>Analysis of Variance (ANOVA)</strong> is a lecture which is covered within the Statistic or Basic Business Statistic module by business and economics students.<br /> Analysis of variance, known by the acronym ANOVA, allows statistical comparison among samples taken from many populations. While ANOVA literally does analyze variation, the purpose of ANOVA is to reach conclusions about possible differences among the means of each group, analogous to the hypothesis tests of the previous chapter. Every ANOVA design uses samples that represent each group and subdivides the total variation observed across all samples (all groups) toward the goal of analyzing possible differences among the means of each group. How this subdivision, called partitioning, works is a function of the design being used, but total variation, represented by the quantity sum of squares total (SST), will always be the starting point. As with other statistical methods, ANOVA requires making assumptions about the populations that the groups represent.</p> <p><strong>Learning objectives:</strong></p> <ol> <li>The basic concepts of experimental design</li> <li>How to use one-way analysis of variance to test for differences among the means of several groups</li> <li>When and how to use a randomized block design</li> <li>How to use two-way analysis of variance and interpret the interaction effect</li> <li>How to perform multiple comparisons in a one-way analysis of variance, a randomized block design, and a two-way analysis of variance</li> </ol> <p><strong>In this File you will find:</strong></p> <p>Analysis of Variance Lecture Power Point Presentation<br /> Test Bank for Analysis of Variance with 213 Questions with all answers to them<br /> 61 Exercises for Analysis of Variance lecture / seminar<br /> Plus reading resource on Analysis of Variance in order to enhance you overall knowledge about the topic.</p> <p><strong>Once you will purchase this resource please leave a comment!</strong><br /> <strong>All resources are compressed in zip file.</strong></p>

<p>Lessons and worksheets on exponential distribution, including how to answer questions using Poisson and exponential</p>

<p>These PowerPoints form full lessons of work that together cover the new AS level Further Maths course for the AQA exam board. Together all the PowerPoints include;<br /> • A complete set of notes for students<br /> • Model examples<br /> • Probing questions to test understanding<br /> • Class questions including answers<br /> • Individual whiteboard work<br /> • Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook<br /> The PowerPoints can be used in the lesson and also given to students that have missed a lesson<br /> I have added ‘Further Maths 5 - Matrices Transformation’ and ‘Further Maths 23 - Network Flows’ for free download<br /> Please leave a review as it will really help me to improve my resources</p> <p>Statistics – Confidence intervals covers;</p> <ul> <li>Construct symmetric confidence intervals for the mean of a normal distribution with known variance</li> <li>Construct symmetric confidence intervals from large samples, of the mean of a normal distribution with unknown variance</li> </ul>

<p>In this lesson, students will delve into the purpose, analysis, design, and evaluation of choropleth maps. By using the captivating theme of Italian population density, they will explore real-world data and develop essential skills that go beyond theoretical knowledge.</p> <p>This download includes a PowerPoint for teaching and a PDF for pupils. This provides both the notes and tasks for learning purposes.</p> <p>Highlights of the lesson include:</p> <ol> <li> <p>Purpose: Students will learn the fundamental purpose of choropleth maps, understanding how they effectively represent data by utilising varying shades. This will enable them to grasp the significance of choropleth maps in visualising geographic variations.</p> </li> <li> <p>Analysis: Through practical examples, students will master the art of analysing choropleth maps. They will decode legends, identify patterns, and make insightful comparisons between different regions. This skill will empower them to extract valuable information from choropleth maps.</p> </li> <li> <p>Design: Students will dive into the intricacies of map design, examining color choices, classification methods, and map projections. By critically evaluating these design elements, they will understand how choices impact data interpretation and presentation.</p> </li> <li> <p>Evaluation: This lesson fosters critical thinking skills by teaching students to evaluate choropleth maps effectively. They will assess the reliability and objectivity of data sources and the map’s overall effectiveness in conveying information. Students will also explore alternative representations and propose improvements to enhance map clarity and impact.</p> </li> <li> <p>Practical examples and tasks: The lesson revolves around the captivating theme of Italian population density. Students will work with real data sets and statistics, engaging in hands-on tasks such as data analysis, creating their own choropleth maps, and presenting their findings to their peers. This application-oriented approach enhances their analytical and presentation skills.</p> </li> </ol> <p>By the end of the lesson, students will have have a deeper understanding of choropleth maps and will have gained an understanding of Italian population density. They will possess valuable skills that can be applied across various geographical contexts.</p>

<p><strong>Simple Linear Regression</strong> is a lecture which is covered within the Statistic or Basic Business Statistic module by business and economics students.<br /> This lecture discusses simple linear regression models that use a single numerical independent variable, X, to predict the numerical dependent variable, Y. In this lecture, you will learn regression analysis techniques that help uncover relationships between variables. regression analysis leads to selection of a model that expresses how one or more independent variables can be used to predict the value of another variable, called the dependent variable. regression models identify the type of mathematical relationship that exists between a dependent variable and an independent variable, thereby enabling you to quantify the effect that a change in the independent variable has on the dependent variable. Models also help you identify unusual values that may be outliers</p> <p><strong>Learning objectives:</strong></p> <ul> <li>How to use regression analysis to predict the value of a dependent variable based on a value of an independent variable</li> <li>The meaning of the regression coefficients b0 and b1</li> <li>How to evaluate the assumptions of regression analysis and know what to do if the assumptions are violated</li> <li>To make inferences about the slope and correlation coefficient</li> <li>To estimate mean values and predict individual values</li> </ul> <p><strong>In this File you will find:</strong></p> <p>Simple Linear Regression Lecture Power Point Presentation<br /> Test Bank for Simple Linear Regression with 213 Questions with all answers to them<br /> 86 Exercises for Simple Linear Regression seminar or lecture<br /> Plus reading resource on Simple Linear Regression in order to enhance you overall knowledge about the topic.</p> <p><strong>Once you will purchase this resource please leave a comment!</strong><br /> <strong>All resources are compressed in zip file.</strong><br /> <a href="https://teachingresourceshub.com/product/simple-linear-regression/" target="_blank" rel="nofollow">You can purchase this teaching resource with more than 20 % Discount by pressing this link. Use coupon code during checkout process: LOVETOTEACH</a></p>

<p>A guide to why we use statistics when collecting fieldwork data. It runs through the main tests and why we choose each one relating to the data which has been collected.</p>

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