Skip to content

A NSW Government website

NSW Curriculum
NSW Education Standards Authority

11–12Mathematics Standard 11–12 Syllabus (2024)

Implementation from 2026
Expand for detailed implementation advice

Content

Year 11

Data analysis
Statistical investigation process
  • Identify an issue and pose a question to a targeted Loading  to gather statistical information

  • Develop a survey by applying questionnaire design principles of clear language, unambiguous questions and consideration of number of choices

  • Examine issues of privacy, Loading , ethics and responsiveness to diverse groups and Loading 

Population and sample
  • Compare and contrast systematic sampling, self-selected sampling, random sampling and stratified sampling

  • Justify whether a Loading  obtained from a population is representative of the population by considering the sampling method

  • Describe the potential faults in the design and practicalities of a Loading  collection process by considering survey design, Loading  and observational studies, and misunderstandings and misrepresentations

Data classification
  • Classify and describe Loading  as numerical or categorical

  • Describe a Loading  as Loading  or Loading 

  • Describe a Loading  as Loading  or Loading 

  • Identify collections of data that can be described as numerical or categorical depending on responses

Display and interpret grouped and ungrouped data
  • Recognise and explain why some Loading  need to be grouped to allow for appropriate representation and analysis

  • Use a spreadsheet to organise and represent data using appropriate Loading 

  • Represent a numerical dataset as either a Loading  table or a Loading  distribution table and graph the associated histogram with polygon, both with and without using digital tools

  • Represent Loading  in tables and column graphs as appropriate, with and without using digital tools

  • Select the type of graph best suited to represent various single datasets and justify the choice of graph

  • Identify and describe the shape of the distribution of a dataset as either Loading , positively Loading  or negatively skewed

  • Interpret and analyse dot plots, line graphs, sector graphs, Loading , Loading  and divided bar charts related to real-world applications

  • Analyse a statistical Loading  and justify the choice of graphical representations used for the relevant dataset

  • Interpret and consider limitations of graphical representations to make conclusions and predictions

  • Explain why a given graphical representation can lead to a misinterpretation of data

Measures of centre and spread
  • Describe the Loading , Loading  and Loading  as Loading  and calculate their values for a dataset in graphical form and tabular form, using a scientific calculator and other digital tools

  • Identify and describe datasets as uniform, unimodal, bimodal or multimodal

  • Identify the Loading  and Loading  as Loading  to describe variation in a dataset

  • Calculate the range and population standard deviation σ of a dataset using a scientific calculator or other digital tools
  • Compare datasets using measures of centre and measures of spread

  • Examine the merits of each measure of centre and justify where each measure is most appropriately used

  • Identify and describe real-world examples illustrating appropriate and inappropriate uses of measures of centre and measures of spread

  • Use a spreadsheet to analyse data including calculating measures of centre and spread

Quartiles and interquartile range
  • Determine the Loading  from a set of Loading  or graphical representation

  • Determine the Loading  of datasets

  • Compare and contrast the use of range and IQR as measures of spread

Five-number summary and box plots
  • Represent numerical datasets using a Loading  to display a five-number summary, with and without using digital tools

  • Compare and contrast the measures of centre, spread and shape using Loading  box plots

  • Determine Loading  from datasets displayed in histograms and dot plots, and represent these datasets as a box plot

  • Interpret box plots to draw conclusions and make inferences about a dataset

Clusters and outliers
  • Identify Loading , gaps and Loading  and explain their occurrence in the context of the data

  • Apply Q1-1.5×IQR and Q3+1.5×IQR to formally identify outliers
  • Explain the impact of outliers on the measures of centre and spread

Related files