IB Maths Applications and Interpretation SL: Statistics - Data Collection & One Variable Analysis

The following four presentation was created for the Applications and Interpretations SL course following the order of teaching for the Kognity textbook but can also be used with the Pearson or Oxford textbook.

The following PowerPoints go through the following:

Introduction to Statistics
-types of data - qualitative and quantitative
-types of data - discrete and continuous
-collecting data - primary and secondary
-population, sample, census
-choosing a good sample - sampling frame, sampling unit, etc.
-sampling bias
-reliability vs validity
-questionnaires
-what makes a good survey - eg. biased questions, vague questions, leading questions, etc.

Sampling Techniques
-types of sampling - simple random, stratified, systematic, voluntary, convenience, and quota
-pros and cons for each

**Measures of Central Tendency **
-mean, median and mode
-skewed data
-difference between population mean and sample mean
-grouped and un-grouped data
-how to use GDC
-outliers
-effect of outliers on mean and median
-combined mean

Measures of Spread
-Range, IQR, variance, and standard deviation
-lower quartile and upper quartile
-how to use GDC
-difference between population and sample standard deviation
-effects of SD on normal distribution curve
-normal distribution curve
*transformation of data
*outliers using mean and SD

Throughout the PowerPoint there are worked examples along with exercises for students. I have also included a few Desmos and Geogebra interactive links to help students get a better understanding of the concepts through visuals. At the end of each section I have included IB exam questions so students get get practice to the types and style of questioning they should expect to see when they write their exams. I also have included a few thinking questions, a few taken from A Level maths exams. There are also links to YouTube videos to help students understanding with certain content.