New Zealand Statistics Curriculum: Statistical Investigation

NZC Level 1

S1-1 Conduct investigations using the statistical enquiry cycle:

1. posing and answering questions
2. gathering, sorting and counting, and displaying category data
3. discussing the results.

NZC Level 2

S2-1     Conduct investigations using the statistical enquiry cycle:

1. posing and answering questions
2. gathering, sorting, and displaying category and whole-number data
3. communicating findings based on the data.

NZC Level 3

S3-1     Conduct investigations using the statistical enquiry cycle:

1. gathering, sorting, and displaying multivariate category and whole-number data and simple time-series data to answer questions
2. identifying patterns and trends in context, within and between data sets
3. communicating findings, using data displays

NZC Level 4

S4-1     Plan and conduct investigations using the statistical enquiry cycle:

1. determining appropriate variables and data collection methods
2. gathering, sorting, and displaying multivariate category, measurement, and time-series data to detect patterns, variations, relationships, and trends
3. comparing distributions visually
4. communicating findings, using appropriate displays

NZC Level 5

S5-1     Plan and conduct surveys and experiments using the statistical enquiry cycle:

1. determining appropriate variables and measures
2. considering sources of variation
3. gathering and cleaning data
4. using multiple displays, and re-categorising data to find patterns, variations, relationships, and trends in multivariate data sets
5. comparing sample distributions visually, using measures of centre, spread, and proportion
6. presenting a report of findings

NZC Level 6

S6-1     Plan and conduct investigations using the statistical enquiry cycle:

1. justifying the variables and measures used
2. managing sources of variation, including through the use of random sampling
3. identifying and communicating features in context (trends, relationships between variables, and differences within and between distributions), using multiple displays
4. making informal inferences about populations from sample data
5. justifying findings, using displays and measures

NZC Level 7

S7-1     Carry out investigations of phenomena, using the statistical enquiry cycle:

1. conducting surveys that require random sampling techniques, conducting experiments, and using existing data sets
2. evaluating the choice of measures for variables and the sampling and data collection methods used
3. using relevant contextual knowledge, exploratory data analysis, and statistical inference

S7-2     Make inferences from surveys and experiments:

1. making informal predictions, interpolations, and extrapolations
2. using sample statistics to make point estimates of population parameters
3. recognising the effect of sample size on the variability of an estimate.

NZC Level 8

S8-1     Carry out investigations of phenomena, using the statistical enquiry cycle:

1. conducting experiments using experimental design principles, conducting surveys, and using existing data sets
2. finding, using, and assessing appropriate models (including linear regression for bivariate data and additive models for time-series data), seeking explanations, and making predictions
3. using informed contextual knowledge, exploratory data analysis, and statistical inference
4. communicating findings and evaluating all stages of the cycle

S8-2     Make inferences from surveys and experiments:

1. determining estimates and confidence intervals for means, proportions, and differences, recognising the relevance of the central limit theorem
2. using methods such as resampling or randomisation to assess the strength of evidence