Information for 1.12 Chance & Data (AS 91037)
Parts of the PPDAC cycle are investigated in this standard, AS1.12 Chance & Data,
as well as AS1.10
Multivatiate Data , AS1.11
Bivariate Data and AS1.13
Probability Investigation
Summary of AS1.12 Chance & Data: (4 credit externally assessed topic)
 Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings.
 Calculate probabilities, using fractions, percentages, and ratios.
 Evaluate statistical reports in the media by relating the displays, statistics,
processes, and probabilities used to the claims made.
 Investigate situations that involve elements of chance: calculating probabilities in
discrete situations.
Further Assessment Criteria information
LearnCoach Video Overview
https://www.youtube.com/playlist?list=PL3E1B7272C7C172B3
Lesson sequence:
1. Overview, vocab, data collection, criteria
2. Populations & Sampling  claim justification
3. Measures of centre & spread
4. Sample distributions & dot plots
5. Histographs
6. Bar Graphs, comparative, strip, pie, picto etc
7. Box Plots  comparison, shift, overlap
8. Scatter plots  trend line, relationship, predictions
9. Time Series  trend, cycles, predictions
10. Discussion
11. Concept of randomness, vocabulary
12. Basic probability, probability scale
13. Choose & draw spinners
14. Long run relative frequency
15. List the possible outcomes, trees, lists & tables
16. Theoretical Probability
17. Expected Number
18. Tree diagrams
19. Games & Simulations
20. Probability Distributions & Discussion
21. Revision
22. Assessment

Statistics (Data)
Problem  Writing research questions & an introduction
Plan
 How to plan an investigation
 Population & Sampling
Data
 Recording Staistical data
 Tally, tables, fequency tables, stem & leaf plot
Analysis  Display
 Dot plot, sample distribution, shape, skew, histograph
 Bar graphs, comparative bar graphs
 Box plots, comparative box plots  Investigated further in AS1.10
Multivatiate Data
 Scatter plots, bivariate data, relationships  Investigated further in AS1.11
Bivariate Data
 Time series, trend, cycle, predictions
Analysis  Sample Statistics
 Centre  mean, median, mode, middle 50%
 Spread  IQR,
Conclusion
 Discussion, purpose, evaluate, interpret claims, accuracy, confidence, predictions

Probability (Chance)
Prior Knowledge:
 Concept of randomness, vocabulary, theoretical vs estimated probability, probability misconceptions
 Basic probability, probability scale
 Choose & draw spinners  most likely, least, equally
 Long run relative frequency
Problem
 Writing probability question & an introduction  Investigated further in AS1.13
Probability Investigation
 What makes a game fair?
Plan
 How to plan an investigation  Tool, Trial, Record, Calculate
Data
 Tables
Analysis  Display
 Probability distribution
Analysis 
 List the number of possible outcomes, basic trees, lists & tables
 Concepts of: and, or, union, not, complement
 Venn Diagrams
 Theoretical Probability
 Expected Number
 Tree diagrams
Conclusion
 Discussion, comparison of experiental & theoretical probabilities
Simulations, Probability games
 Probability games, Modeling & Simulations to determine estimated probability
