IAL Edexcel Statistics 1
This GeoGebra companion maps directly to all chapters of the [b]Pearson Edexcel International A-Level Statistics 1 Student Book[/b]. Each chapter contains short, interactive investigations that mirror the textbook topics so students can explore data sets, visualise distributions, test probability models, and understand statistical concepts dynamically. [list] [*][b]Measures of Location and Spread[/b] — mean, median, and mode calculators that update in real-time with data changes, standard deviation and variance visualisers, and explorers for the effects of coding. [*][b]Representation of Data [/b]— interactive histogram and stem-and-leaf builders, dynamic box plot and outlier visualisers, and cumulative frequency graph drawers. [*][b]Correlation and Regression[/b] — dynamic scatter plot graphers with movable data points, real-time calculation of the PMCC, and an interactive least-squares regression line that updates as points are added or moved. [*][b]Probability[/b] — interactive Venn diagram shaders for 2 and 3 sets, dynamic tree diagram builders, and simulators for conditional probability and independence. [*][b]Discrete Random Variables [/b]— custom probability distribution builders, visual calculators for E(X) and Var(X), and interactive models for the discrete uniform distribution. [*][b]The Normal Distribution [/b]— a fully interactive normal curve with dynamic sliders for mean and variance, standardisation (Z-value) visualisers, and real-time probability area calculators. [/list]
Table of Contents
- Chapter 1 : Mathematical Modelling
- Modelling Cycle
- Chapter 2 : Measures of Location and Spread
- Classification Problems
- Discrete vs Continuous
- Cumulative Frequency graph 2
- Finding the Mean of Grouped Data-Section 1.1
- Standard Deviation Intro
- Standard Deviation Investigation
- Standard Deviation Formulae
- Chapter 3 : Representations of Data
- Histograms Vs Frequency diagrams
- Bad "Histograms"
- Unusual Values and Outliers
- Boxplots and outliers
- Finding Outliers in a Scatter Diagram
- Interpreting Stem and Leaf Plots
- Comparing Boxplots
- Chapter 4 : Probability
- Venn Diagrams
- Set Notation & Venn Diagrams
- Independent vs Dependent
- Keith's Conditional Probability
- Chapter 5 : Regression and Correlation
- Scatter Plot and Best Fit Line
- Linear Regression Exploration
- Linear Regression Practice
- Least Squares Regression Activity
- Pearsons MCC : Regression and Correlation
- Chapter 6 : Discrete Random Variables
- 1 Discrete random variables: page 5
- Chapter 7 : Normal Distribution
Modelling Cycle
Modelling Cycle
The process of modelling is well known. The main steps of the modelling-cycle also appear in this slightly modified cycle, see figure 1 (e.g. see Blum & Leiß, 2007). In this case students rapidly start the modelling-cycle by a real world problem, here "Which credit is the best?" They translate this into a mathematical statement: "The best credit is the one with the shortest lent term." Afterwards they implement the four credits in a GeoGebra-applet. In the next stage pupils observe the dynamics and try to find coherences respectively. Following this, they should mathematically justify their observations. If the validation of the mathematical solutions brings some flaws to light, they have to start again the modelling cycle from the beginning. In this case special knowledge about credits is needed, so some stages have to be guided by the teacher.
Classification Problems
Move the seed slider to select a different version of the problem.[br]Answer parts (a), (b) and (c).[br][br]Click on the check boxes to see the answer to each part.
Classification Problems
A version of this problem will be on the first test and [br]on the final exam.[br][br]Measurement variables result from measuring or counting, [br]Categorical variables are not measurement variables.[br]Discrete measurement variables have gaps between their [br]possible values. Continuous measurement variables have [br]no gaps between their possible values.[br]An observational study records observations or [br]measurements of subjects in a natural setting.[br]An experiment records measurements or observations[br]of subjects in a controlled setting.[br][br]These problems are based on problems 13 through 28 on[br]pages 21 and 22, and problems 5 through 8 on page 32 [br]of Mario F. Triola, "Elementary Statistics", 12th edition, [br]Pearson Education, Inc. 2014.[br][br]Updated June 25, 2013 and July 23, 2013.
Histograms Vs Frequency diagrams
A graph to show the differences between frequency diagrams and histograms for UK GCSE Maths students
Here in the UK we teach that a Histogram should be drawn when the grouped data has unequal groups.[br][br]I believe elsewhere in the world, the term Histogram is a little more loosely used (no offence).[br][br]I made this to illustrate the differences between Histograms and Frequency diagrams and to explain to my students why we use frequency density, so as to be more fair to the different sized groups.
Venn Diagrams
Click on the numbers in the Venn diagram to shade those particular area in order to match the prompted set notation.
Scatter Plot and Best Fit Line
Scatter Plot and Best Fit Line
Scatter Plot and Best Fit Line
1 Discrete random variables: page 5
Start the animation or increase the sample size with the slider to see what happens as more observations of the discrete random variable X are made.[br][br]You can compare the experimental results with the theoretical distribution based on the probability distribution of X.