# S2-1: Conduct investigations using the statistical enquiry cycle: posing and answering questions; gathering, sorting, and displaying category and whole-number data; communicating findings based on the data.

This means students will use the statistical enquiry cycle in their investigations. The cycle has five phases that relate to each other. Some enquiries follow these phases in sequence but often new considerations mean that a statistician must go back to previous phases and rethink. The phases are:

At Level Two students should be able to pose questions that they want to investigate, consider the appropriate data they need to collect, gather and sort the data in order to develop an answer to their question. The data involved may be either category data or whole number data. Category data arises from classifying and the interest is in how many of the data items fall in each category (called frequency). Colour and number of doors are two ways to classify cars that will produce category data. Whole number data comes from situations where only whole number values are possible, for example how many people live in your house? or from rounding of measures, for example how long is your pencil to the nearest centimetre? The most common graphs for displaying category data are pictographs, bar, strip and pie graphs. Whole number data can be displayed using dot plots or stem and leaf graphs. Students should communicate their result through reference to their data displays with an emphasis on similarity and difference, for example boys like outdoor games more than girls.

discuss which graph shows the data most clearly

answer questions from graphs

pose a question to investigate

collect and sort data

construct a bar graph

- Pose investigative questions.
- Write data collection or survey questions to support collecting information for investigation.
- Collect information.
- Sort information into categories.
- Display information to answer investigative questions or find out things.
- Answer investigative questions by300

create graphs for a given data set

answer questions based on the graphs

display data on a graph

solve word problems involving fractions

solve word problems involving addition and subtraction

- Understand how running a distance contributes to fitness and wellbeing.
- Create a personal benchmark for 1 metre and for 1 kilometre.
- Accurately use three measuring devices to measure a distance of more than 3 metres.
- Correctly record length measurements using abbreviations.
- Understand how300

interpret a table

- Recognise that mail is both physical and electronic.
- Use standard measures of length to investigate the sizes of items of letter mail.
- Research letterboxes and recognise optimum design features.
- Use standard measures of length to design and make a letterbox.
- Record the design process, including using300

investigae open and closed survey questions

construct a graph

In this unit we conduct a number of investigations using a party or favourites theme. Students count, compare, organise, analyse, display and interpret data and at the same time, apply early additive strategies for combining numbers.

- Pose investigative questions.
- Plan for and collect category data.
- Display data in tally charts, pictographs and bar graphs.
- Make statements about data displays.
- Answer the investigative question.

- Write investigative questions for statistical investigations and design a method of collection of data.
- Display collected data in an appropriate format.
- Make statements about implications or possible actions based on the results of an investigation.
- Make conclusions on the basis of300

construct a stem and leaf graph

make a conclusion based on the data

compare two graphs

answer questions from a chart

compare information from two graphs

make a conclusion based on data

- Make a statement about a data display.
- Decide if they agree or disagree with a statement about the data display.
- Give reasons to support their evaluation of the statement.

- Pose investigative questions
- Design data collection methods
- Collect and collate data.
- Display collected data in an appropriate format and make statements about the displays of data.
- Make conclusions based on a statistical investigation.

- Suggest an investigative question.
- Plan and carry out an investigation. (Collect, sort and display data, communicate findings based on data and draw conclusions.)
- Sort words by category and justify their classification.
- Create a pictograph and correctly name (word) categories.
- Present300