Year 12: Statistical Analysis

2 dot points across 2 inquiry questions, in syllabus order. Each dot point has a focused answer, with exam-style questions and worked answers where available.

MS-S3 Further Statistical Analysis: how is a statistical investigation planned and carried out using a survey?

S3.1 The statistical investigation process for a survey: identify the steps of a statistical investigation, design an effective questionnaire free from bias, and consider sampling, non-response and possible misinterpretation of questions and statistics

The steps of a statistical investigation (question, plan, collect, analyse, interpret, communicate), how to design a questionnaire that is clear, unbiased and easy to analyse, types of questions, sampling methods, piloting and non-response, and common misleading statistics.

7 min read →

MS-S3 Further Statistical Analysis: how can data from two quantitative variables be explored and described?

S3.2 Exploring and describing data arising from two quantitative variables: construct a scatterplot, identify the independent and dependent variables, describe the association (form, direction, strength), fit a line by eye and use it to make and assess predictions

How to construct scatterplots from two numerical variables, choose the independent and dependent variables, describe association by form, direction and strength, draw a line of fit by eye, find its equation, and use it to predict, including judging the accuracy of predictions and the danger of extrapolation.

8 min read →