2026 7 Maths Unit 4.2 Rubric
Actual Rubrics are based on teacher-elaborations of selected content descriptors for the assessment that sufficiently map to all of the Achievement Standard components.
Achievement Standard Rationaliser for Assessment Construction (Non-Assessment Specific)
| Achievement Standard Component | E | D | C | B | A |
|---|---|---|---|---|---|
| They plan and conduct statistical investigations involving discrete and continuous numerical data, using appropriate displays. | Did not plan an investigation or display data. | Requires heavy support to collect data and often chooses inappropriate visual displays or those without annotation | They plan and conduct statistical investigations involving discrete and continuous numerical data, using appropriate displays. | Independently designs robust investigations, flawlessly categorising data and creating highly effective displays. | Executes complex statistical investigations on real-world issues, innovating data displays for maximum communicative impact. |
| Students interpret data in terms of the shape of distribution and summary statistics, identifying possible outliers. | Cannot interpret data shape or identify outliers. | Reads basic data but misses outliers or misinterprets the shape of the distribution. | Students interpret data in terms of the shape of distribution and summary statistics, identifying possible outliers. | Accurately analyses distribution shapes (e.g., skewed, symmetrical) and correctly identifies and contextualizes all outliers. | Critically evaluates the impact of distribution shapes and extreme outliers on the overall narrative of a dataset. |
| They decide which measure of central tendency is most suitable and explain their reasoning. | Fails to calculate mean, median, or mode. | Calculates central tendency but cannot justify which measure is best for the data. | They decide which measure of central tendency is most suitable and explain their reasoning. | Insightfully selects the best measure of central tendency based on data spread and skew, clearly justifying the choice. | Deeply analyses how changing the measure of central tendency could manipulate the interpretation of the dataset. |
Content Descriptor Rubric for Content Rationalisation (Non-task specific)
| E | D | C 😊 | B | A |
|---|---|---|---|---|
| Asks biased survey questions resulting in unusable data. | Collects valid data but struggles to categorize it as discrete or continuous. | AC9M7ST03 plan and conduct statistical investigations involving data for discrete and continuous numerical variables; analyse and interpret distributions of data and report findings in terms of shape and summary statistics | Identifies lurking variables and accounts for them when structuring the investigation methodology. | Synthesizes findings into a compelling statistical report that strictly delineates correlation from causation. |
| Creates chaotic graphs with missing axes or inconsistent scales. | Builds standard bar charts but avoids complex displays like stem-and-leaf plots. | AC9M7ST02 create different types of numerical data displays including stem-and-leaf plots using software where appropriate; describe and compare the distribution of data, commenting on the shape, centre and spread including outliers and determining the range, median, mean and mode | Compares two distinct data sets simultaneously using back-to-back stem-and-leaf plots to draw comparative insights. | Innovates the visual presentation of data to highlight subtle distribution anomalies that standard charts obscure. |
| Cannot calculate mean, median, mode, or range. | Calculates central tendency but cannot justify which specific measure provides the most useful insight. | AC9M7ST01 acquire data sets for discrete and continuous numerical variables and calculate the range, median, mean and mode; make and justify decisions about which measures of central tendency provide useful insights into the nature of the distribution of data | Clearly and logically justifies the choice of central tendency based strictly on distribution shape and the presence of outliers. | Critically evaluates how utilizing different measures of central tendency can manipulate the interpretation of the exact same data set. |