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Result list

• VCMSP236

  Interpret secondary data presented in digital media and elsewhere

  Elaborations

  • investigating data representations in the media and discussing what they illustrate and the messages the people who created them might want to convey
  • identifying potentially misleading data representations in the media, such as graphs with broken axes or non-linear scales, graphics not drawn to scale, data not related to the population about which the claims are made, and pie charts in which the whole pie does not represent the entire population about which the claims are made

  VCMSP236 | Mathematics | Level 6 | Statistics and Probability | Data representation and interpretation

• VCMSP128

  Create displays of data using lists, table and picture graphs and interpret them

  Elaborations

  • creating picture graphs to represent data using one-to-one correspondence
  • comparing the usefulness of different data displays

  VCMSP128 | Mathematics | Level 2 | Statistics and Probability | Data representation and interpretation

• VCMSP126

  Identify a question of interest based on one categorical variable. Gather data relevant to the question

  Elaborations

  • determining the variety of birdlife in the playground and using a prepared table to record observations

  VCMSP126 | Mathematics | Level 2 | Statistics and Probability | Data representation and interpretation

• VCMSP233

  Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies

  Elaborations

  • conducting repeated trials of chance experiments, identifying the variation between trials and realising that the results tend to the prediction with larger numbers of trials

  VCMSP233 | Mathematics | Level 6 | Statistics and Probability | Chance

• VCMSP180

  Evaluate the effectiveness of different displays in illustrating data features including variability

  Elaborations

  • interpreting data representations in the media and other forums in which symbols represent more than one data value
  • suggesting questions that can be answered by a given data display and using the display to answer questions

  VCMSP180 | Mathematics | Level 4 | Statistics and Probability | Data representation and interpretation

• VCMSP269

  Construct and compare a range of data displays including stem-and-leaf plots and dot plots

  Elaborations

  • understanding that some data representations are more appropriate than others for particular data sets, and answering questions about those data sets
  • using ordered stem-and-leaf plots to record and display numerical data collected in a class investigation, such as constructing a class plot of height in centimetres on a shared stem-and-leaf plot for which the stems 12, 13, 14, 15, 16 and 17 have been produced

  VCMSP269 | Mathematics | Level 7 | Statistics and Probability | Data representation and interpretation

• VCMSP271

  Describe and interpret data displays using median, mean and range

  Elaborations

  • using mean and median to compare data sets and explaining how outliers may affect the comparison
  • locating mean, median and range on graphs and connecting them to real life

  VCMSP271 | Mathematics | Level 7 | Statistics and Probability | Data representation and interpretation

• VCMSP268

  Identify and investigate issues involving numerical data collected from primary and secondary sources

  Elaborations

  • obtaining secondary data from newspapers, the Internet and the Australian Bureau of Statistics
  • investigating secondary data relating to the distribution and use of non-renewable resources around the world

  VCMSP268 | Mathematics | Level 7 | Statistics and Probability | Data representation and interpretation

• VCMSP270

  Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data

  Elaborations

  • understanding that summarising data by calculating measures of centre and spread can help make sense of the data

  VCMSP270 | Mathematics | Level 7 | Statistics and Probability | Data representation and interpretation

• VCMSP371

  Investigate reports of studies in digital media and elsewhere for information on their planning and implementation

  Elaborations

  • evaluating the appropriateness of sampling methods in reports where statements about a population are based on a sample
  • evaluating whether graphs in a report could mislead, and whether graphs and numerical information support the claims

  VCMSP371 | Mathematics | Level 10A | Statistics and Probability | Chance

• VCMSP373

  Use digital technology to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship allowing for variation, make predictions based on this straight line and discuss limitations

  Elaborations

  • investigating different techniques for finding a ‘line of best fit’
  • using a fitted line to data to make predictions between and beyond existing data value sand discuss limitations of these predictions

  VCMSP373 | Mathematics | Level 10A | Statistics and Probability | Data representation and interpretation

• VCMSP372

  Calculate and interpret the mean and standard deviation of data and use these to compare data sets. Investigate the effect of individual data values including outliers, on the standard deviation

  Elaborations

  • using the standard deviation to describe the spread of a set of data
  • using the mean and standard deviation to compare numerical data sets
  • constructing distributions for the mean and standard deviation of simple random samples from a population

  VCMSP372 | Mathematics | Level 10A | Statistics and Probability | Data representation and interpretation

• VCMSP322

  Calculate relative frequencies from given or collected data to estimate probabilities of events involving 'and' or 'or'

  Elaborations

  • using Venn diagrams or two-way tables to calculate relative frequencies of events involving ‘and’, ‘or’ questions
  • using relative frequencies to find an estimate of probabilities of ‘and’, ‘or’ events

  VCMSP322 | Mathematics | Level 9 | Statistics and Probability | Chance

• VCMSP321

  List all outcomes for two-step chance experiments, both with and without replacement using tree diagrams or arrays. Assign probabilities to outcomes and determine probabilities for events

  Elaborations

  • conducting two-step chance experiments
  • using systematic methods to list outcomes of experiments and to list outcomes favourable to an event
  • comparing experiments which differ only by being undertaken with replacement or without replacement

  VCMSP321 | Mathematics | Level 9 | Statistics and Probability | Chance

• VCMSP353

  Investigate and describe bivariate numerical data, including where the independent variable is time

  Elaborations

  • investigating biodiversity changes in Australia since European occupation
  • constructing and interpreting data displays representing bivariate data over time
  • constructing scatter-plots for two numerical variables and investigate trends such as water storage levels over time or weight and height distributions

  VCMSP353 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• VCMSP348

  Use the language of ‘if ....then, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language

  Elaborations

  • using two-way tables and Venn diagrams to understand conditional statements
  • using arrays and tree diagrams to determine probabilities

  VCMSP348 | Mathematics | Level 10 | Statistics and Probability | Chance

• VCMSP324

  Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly from secondary sources

  Elaborations

  • comparing the annual rainfall in various parts of Australia, Pakistan, New Guinea and Malaysia

  VCMSP324 | Mathematics | Level 9 | Statistics and Probability | Data representation and interpretation

• VCMSP347

  Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence

  Elaborations

  • recognising that an event can be dependent on another event and that this will affect the way its probability is calculated

  VCMSP347 | Mathematics | Level 10 | Statistics and Probability | Chance

• VCMSP352

  Use scatter plots to investigate and comment on relationships between two numerical variables

  Elaborations

  • using authentic data to construct scatter plots, make comparisons and draw conclusions

  VCMSP352 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• VCMSP350

  Construct and interpret box plots and use them to compare data sets

  Elaborations

  • understanding that box plots are an efficient and common way of representing and summarising data and can facilitate comparisons between data sets
  • using parallel box plots to compare data about the age distribution of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole

  VCMSP350 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation