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# Statistical Investigations Units of Work

### Level 1 Statistical Investigations

 Achievement Objectives Learning Outcomes Unit title S1-1 sort objects into categories for displaymake a display of the data collected (pictograph)make statements about data displays I like trucks Greedy Cat

### Level 2 Statistical Investigations

 Achievement Objectives Learning Outcomes Unit title pose questions for investigationcollect category datadisplay data in tally charts, uniform pictograms bar chartsmake statements about data displays Party, Party, Party collect data on a tally chartmake pictograms to represent dataproduce bar charts of data using Microsoft Excel My favourite * write questions for statistical investigations and design a method of collection of datadisplay collected data in an appropriate formatmake statements about implications or possible actions based on the results of an investigationmake conclusions on the basis of statistical investigations Planning a statistical Investigation collect informationwrite questions for investigationsort information into categoriesdisplay information to answer questions or find out thingsanswer questions by sorting, organising and arranging informationmake sensible statements about the information and be able to back up their statements with appropriate displays Data Squares Level 2

### Level 3 Statistical Investigations

 Achievement Objectives Learning Outcomes Unit title display data in bar graphs and stem and leaf graphsdiscuss features of data display using middle, spread, and outliers Sports plan an investigationdisplay data in dot plots, strip graphs and pie chartsdiscuss features of data display using middle, spread, and outliers Fridge pickers record data in tablesuse scatter plot graphs to identify relationships between variables Paper Planes L3 plan an investigationchoose an appropriate data display (bar chart, stem-and-leaf, strip graph, line graph)make statements about the findings of the investigation Carrots write questions for statistical investigations and design a method of collection of datadisplay collected data in an appropriate formatmake statements about implications or possible actions based on the results of an investigationmake conclusions on the basis of statistical investigations Planning a Statistical Investigation collect informtionsort information into categoriesanswer questions by sorting, organising and arranging informationmake sensible statements about the information with supporting evidence Data Squares Level 3

### Level 4 Statistical Investigations

 Achievement Objectives Learning Outcomes Unit title plan an investigationchoose an appropriate data display (bar chart, stem-and-leaf, strip graph, line graph)make statements about the findings of the investigationuse spreadsheets to display and analyse data Measuring up*Cars *Travel to school 1 *Travel to school 2 * plan an investigationuse spreadsheets to display and analyse datadiscuss features of data display Sports statistics * follow and repeat a procedure to replicate exactly the same conditionsmeasure and record distances accuratelygraph the starting positions and distances travelled on scatter graphstalk about distinctive features of scatter graphsmake statements, backed up by reference to graphs, about possible actions Marble Roll

### Level 5 Statistical Investigations

 Achievement Objectives Learning Outcomes Unit title plan an investigationdiscuss features of data displays using mean and modestate implications from investigation Average looking plan an investigation including selecting an appropriate samplechoose and construct appropriate data displaysdiscuss features of data displays using mean, median and mode and looking at the range where appropriatestate implications from their investigationlook at possible further investigations or improvements to their investigations Census@SchoolTime Use SurveyWhat is a Typical Year 8? discuss features of small amounts of discrete datacompare features of sets of small amounts of discrete dataplan and conduct an investigation to ascertain information from a set of datareport the results of the investigation concisely and coherently Discrete Data plan an investigationbe able to display time series datadiscuss features of time series distributionscompare features of time series distributionsreport on possible sources of error and limitations in displayed datareport the results of a statistical investigations concisely and coherently Time Series (L5) identify questions that can be answered using statistical datadiscuss the notion of "outlier"draw box and whisker plotscompare two such plots A Preliminary Investigation of Reaction Times

### Level 6 Statistical Investigations

Achievement ObjectivesLearning OutcomesUnit title
• plan an investigation
• be able to display time series data
• discuss the components and features of time series distributions
• compare features of different time series distributions
• report the results of a statistical investigation concisely and coherently
Time Series (L6)
• write and answer a question that compares sets of statistical data
• justify the answer to a question with reference to graphs and statistical calculations
• compare data about two variables
• record statistical information in ways that are helpful for drawing conclusions
• comment on statistical processes e.g. bias, limitations and possible improvements
Stork Delivery
• calculate means
• choose appropriate ways of grouping continuous variables in order to represent them on histograms
• compare two distributions
• discuss the difference between the distribution of a variable and the distribution of the mean of a variable
Further Investigations of Reaction Times

The investigation section of this site deals with the development and increasing sophistication of statistical investigations. It is based around the four aspects of posing questions, collecting data, displaying data and discussing results. These four are closely linked as what data is collected can dictate the way that it is displayed and the conclusions that can be reached from the investigation. On the other hand, if some restrictions have been placed on the means of display, only certain types of data collection may be relevant. A number of these statistics investigations involve the use of computer spreadsheets. These units are marked with *.