IB Maths Applications and Interpretation SL: Chapter 3 - Representing and Describing Data

This PowerPoint follows the Oxford textbook.
The following content is covered throughout the PowerPoint. I have also added a few extra concepts which can be used in students Internal Assessments (IA). For example, I spend a little time looking at the skewness formula, different ways of calculating outliers, 1.5 x IQR or 2 X SD, skewness in box plots, etc.

• Univariate data
  * qualitative vs quantitative
  * continuous vs discrete
  * which representations are used for specific types of data
  * primary and secondary data
  * choosing a good sample
  * sampling bias
  * reliability vs validity
  * skewness
• Questionnaires
  * biased questions
• Measures of central tendency
  * mean, meadian, mode
  * outliers
  * un-grouped and grouped
  * how to use the GDC
  * combined mean
• Measures of dispersion
  * range, quartiles, IQR, standard deviation
  * normal distribution curve
  * skewness
  * different formulas for sample and population for SD
  * how to use the GDC
  * effects on mean and SD
• Sampling techniques
• Presentation of data
• Bivariate data
  * scatter graphs
  * correlation
  * introduction into the line of best fit (leading into chapter 6)

Throughout the PowerPoint there are worked examples and student exercises. There are also multiple links to various classroom and interactive activities using GeoGebra and Desmos Classrooms. As well, I have included links to certain Youtube videos to help with using the GDC.