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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.

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Elaboration on this Achievement Objective

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:
 

stats cycle.

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.

 

Teaching resources for this Achievement Objective
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Choice Squares

Level Two
Statistics
Figure It Out activities
This is a level 2 statistics activity from the Figure It Out series. A PDF of the student activity is included.

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

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Cotton Wool Catapults

Level Two
Level Three
Integrated
Figure It Out activities
This is a level 3 activity from the Figure It Out series. A PDF of the student activity is included.
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Data cards: Level 2

Level Two
Statistics
Units of Work
This unit introduces the students to a way of looking at information from a group of individuals, i.e. a data set.
  • 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 by sorting300
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Deep Sea Diving

Level Two
Statistics
Figure It Out activities
This is a level 2 statistics activity from the Figure It Out theme series. A PDF of the student activity is included.

create graphs for a given data set

answer questions based on the graphs

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Fishing Fancy

Level Two
Integrated
Figure It Out activities
This is a level 2 statistics and number activity from the Figure It Out theme series. A PDF of the student activity is included.

display data on a graph

solve word problems involving fractions

solve word problems involving addition and subtraction

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Fun and fitness

Level Two
Integrated
Units of Work
The purpose of this unit is for students to design a PE/fitness game, use standard measures of length, and conduct a statistical investigation into the safety factors and the health benefits of their game.
  • 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 how many metres300
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Getting to School

Level Two
Statistics
Rich learning activities
The purpose of this activity is to engage students in carrying out a statistical investigation (using the PPDAC cycle: problem, plan, data, analysis, conclusion) that leads them to tell a class story.
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Holding a Vote

Level Two
Statistics
Figure It Out activities
This is a level 2 statistics activity from the Figure It Out theme series. A PDF of the student activity is included.

interpret a table

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Mailboxes

Level Two
Integrated
Units of Work
In this unit students will research, design, make, and test a cardboard letterbox, applying their knowledge and understanding of a standard measure, centimetres. They will also undertake a statistical investigation into the use of both electronic and postal mail.
  • Use standard measures of length to investigate the sizes of items of letter mail.
  • Use standard measures of length to design and make a letterbox.
  • Record the design process, including using appropriate symbols and abbreviations to record length measurements.
  • Pose an investigative question, plan a300
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Open or Closed?

Level Two
Level Three
Statistics
Figure It Out activities
This is a level 2 and 3 statistics activity from the Figure It Out series. A PDF of the student activity is included.

investigae open and closed survey questions

construct a graph

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Parties and favourites

Level Two
Statistics
Units of Work

In this unit we conduct a number of investigations using a party or favourites as a theme. Ākonga count, compare, organise, analyse, display and interpret data.

  • Pose investigative questions.
  • Plan for and collect category data.
  • Display data in tally charts, pictographs and bar graphs.
  • Make statements about data displays.
  • Answer investigative questions.
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Planning a statistical investigation (Level 2)

Level Two
Statistics
Units of Work
In this unit students will identify how to plan and carry out a statistical investigation, looking at facts about their class as a context.
  • 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 of statistical300
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Playing Favourites

Level Two
Statistics
Rich learning activities
The purpose of this activity is to engage students in carrying out a statistical investigation with an emphasis on sorting data into categories.
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Sampling Snacks

Level Two
Statistics
Figure It Out activities
This is a level 2 activity from the Figure It Out series. A PDF of the student activity is included.
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Short and Sharp

Level Two
Statistics
Figure It Out activities
This is a level 2 statistics activity from the Figure It Out series. A PDF of the student activity is included.

construct a stem and leaf graph

make a conclusion based on the data

compare two graphs

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Tailspin

Level Two
Level Three
Integrated
Figure It Out activities
This is a level 3 activity from the Figure It Out series. A PDF of the student activity is included.
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Too Much Telly?

Level Two
Statistics
Figure It Out activities
This is a level 2 statistics activity from the Figure It Out series. A PDF of the student activity is included.

answer questions from a chart

compare information from two graphs

make a conclusion based on data

 

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True or false

Level Two
Statistics
Units of Work
In this unit students make statements about data displays. Students evaluate statements as true or false using the features of the data to support their evaluation.
  • 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.
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Voting vitality

Level Two
Statistics
Units of Work
In this unit, which explores the context of voting, students will become familiar with and apply the five key steps of carrying out a statistical investigation.
  • 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.
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Words

Level Two
Statistics
Units of Work
The purpose of this unit is to develop students’ understanding that texts have different language features, depending on their purpose. Students learn about words in texts by conducting a statistical investigation, and by using their data to answer the question they pose.
  • 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