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S4-2: Evaluate statements made by others about the findings of statistical investigations and probability activities.

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Elaboration on this Achievement Objective

This means students will critically evaluate the strength of an argument proposed by others that is supported by statistical information. At Level Four students should consider features of the statistical investigation of others in weighing the strength of the findings. These features include the appropriateness of sampling methods (for example number, representativeness), quality of the data collection (for example questions asked, accuracy of measurement, fairness of the experiment), data analysis (technology use, choice of displays) and the extent to which claims made are supported by the evidence.

 

Teaching resources for this Achievement Objective
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Advertising Claims

Level Four
Statistics
Figure It Out activities
This is a level 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.

critique statistics used in advertising claims

 

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Bean There

Level Three
Level Four
Statistics
Figure It Out activities
This is a level 3 and 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.

construct a time-series graph using a computer

evaluate statements made about the data

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Beefing Up Business

Level Four
Integrated
Figure It Out activities
This is a level 4 number, algebra and statistics activity from the Figure It Out series. A PDF of the student activity is included.

use addition to sovle money problems

use multiplication and division to solve problems

find percentage of a number

solve problems involving ratios

find fraction of a number

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Billboards

Level Four
Statistics
Figure It Out activities
This is a level 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.

create a bar graph

interpret information from a table/graph

evaluate a classmate's statement

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Blockbusters

Level Four
Statistics
Figure It Out activities
This is a level 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.

identify data features of a graph

create a histogram

compare graphs

critique the graph as a data display

 

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Catch of the Match

Level Four
Statistics
Figure It Out activities
This is a level 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.

find all possible outcomes using a tree diagram

evaluate findings from probability activities

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Channel Surfing

Level Four
Statistics
Figure It Out activities
This is a level 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.

plan a survey

collect data

display data on a graph

interpret data

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Cheap Reads

Level Four
Statistics
Figure It Out activities
This is a level 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.

interpret information from tables

evaluate sample

make a conclusion

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Crunch the coach

Level Four
Integrated
This unit is designed to connect the desire to improve performance in physical activities with developing an understanding of how data can be collected and analysed to make sense of the different attributes that could contribute to improved performance.
  • Uses the statistical enquiry cycle to plan and conduct investigations
    • Identifies broad area to explore using the statistical enquiry cycle
    • Poses investigative questions about summary and relationship situations 
      • Makes predictions/assertions about what they expect to find out 
    • P300
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Energy Stations

Level Four
Integrated
Figure It Out activities
This is a level (3+ to 4+) mathematics in science contexts activity from the Figure It Out series.A PDF of the student activity is included.

Students will:

  • estimate the energy change of a system
  • calculate the amount of energy converted by different activities
  • use rates to determine inputs and/or outputs.

Students should discover that:

  • energy transfer is proportional to work (the more force x distance, the more energy)
  • different forms of energy300
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Exploring New Zealand’s data

Level Four
Statistics
Units of Work
This unit involves students using existing data and data displays to investigate areas of interest in relation to gender, education, employment, and income (or other topics of interest), before presenting their findings.
  • Identify an area of interest to investigate.
  • Find data displays including graphs, tables, and non-traditional data representations, that can inform the investigation e.g. from websites and other sources.
  • Explore the information behind the data displays to make sense of the data and use it to explore300
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Family Feast

Level Four
Statistics
Figure It Out activities
This is a level 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.

find all possible outcomes using a tree diagram
evaluate findings from probability activities

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Fully Stretched

Level Three
Level Four
Statistics
Figure It Out activities
This is a level 3 and 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.

create a back-to-back dot plot

make a conclusionn from the data

conduct an investigation and graph the results

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Future Options

Level Four
Statistics
Figure It Out activities
This is a level 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.

decide which graph most clearly shows the data

answer questions from the graph

make predictions based on the data

conduct a survey

use a spreadsheet to create a bar graph

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How Can They Say That?

Level Four
Integrated
Rich learning activities
The purpose of this activity is to engage students in evaluating a claim made on the basis of supporting statistics.
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How much bullying?

Level Four
Statistics
Units of Work
This unit requires students to look at the reported state of bullying in New Zealand schools and to develop and administer their own surveys about bullying. They analyse their data and create a report outlining the results of their investigation.
  • Critically explore the validity of claims based on data.
  • Evaluate the quality of survey questions that are developed by others.
  • Create survey questions that align to an investigative question.
  • Administer a survey, collate, and display the data, and report findings.
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Mad Minute

Level Four
Statistics
Figure It Out activities
This is a level 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.

evaluate statements made about graphs

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Making Evaluations

Level Four
Statistics
Units of Work
In this unit students evaluate statements made about the findings of statistical investigations. In evaluating the statement students look at how the results of the investigation support the findings.
  • Agree or disagree with a statement made about the findings of statistical investigations
  • Give a reason for their evaluation of the statement
  • Complete a statistical investigation by collecting, displaying and discussing data
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Monster Munch

Level Four
Statistics
Figure It Out activities
This is a level 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.

conduct a simple probability experiment

compare experimental estimates of probability outcomes with a claimed probability and draw a conclusion

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On Your Bike, Mike

Level Four
Integrated
Figure It Out activities
This is a level 4 number, algebra, and statistics activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.A PDF of the student activity is included.

analyse survey questions

interpret information from graphs

find percentages of numbers

use addition and subtraction to solve money problems

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Picking Pocket Money

Level Three
Level Four
Statistics
Figure It Out activities
This is a level 3 and 4 statistics activity from the Figure It Out series. A PDF of the student activity is included.

compare results of experimental probabilities with other people

make a conclusion from the results of probability experiments

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Playing with Energy

Level Four
Integrated
Figure It Out activities
This is a level (3+ to 4+) mathematics in science contexts activity from the Figure It Out series.A PDF of the student activity is included.

Students will:

  • solve problems using rates and unit conversions.
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Popular Networking

Level Four
Statistics
Rich learning activities
The purpose of this activity is to engage students in the evaluation of a published statistical report.
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Population Pyramids

Level Four
Statistics
Figure It Out activities
This is a level 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.

interpret information from graphs

evaluate statements made about data

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Questionnaire Queries

Level Four
Statistics
Figure It Out activities
This is a level 4 statistics activity from the Figure It Out series.A PDF of the student activity is included.

critique a survey

design a survey