Talk back to statistics ppt

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TALK BACK TO

STATISTICS

Achievement Standard 2.11

• Evaluate a statistically based report with justification and insight

• Identify sampling and possible nonsampling errors in surveys including polls

Statistical Literacy ?

• “ statistical literacy relates to two interrelated components, primarily (a) people’s ability to interpret and critically evaluate statistical information, data-related arguments, or stochastic phenomena,…..and (b) their ability to discuss or communicate their reactions to such statistical information. “

• ( Gal, 2002)

• "…understanding the basic language of statistics (e.g., knowing what statistical terms and symbols mean and being able to read statistical graphs), and understanding some fundamental ideas of statistics."

• ( Gaise Report, 2007)

Statistical Literacy

• “ …the ability to interpret and evaluate critically statistical information in a variety of contexts and from a variety of media. It is also the ability to

communicate

that interpretation in a way that can impact decision-making”

• ( Watson, 2006)

2.11 Overview

• Prior knowledge

• Student preparation for Unit

• Importance of Context

• Evaluation of Reports

• Different forms of assessment delivery

• Challenges

CONTEXT

• Contextual knowledge is essential

• Select a context that is appropriate for your students

• In practice assessments encourage students to research topic before starting evaluation of report

• Share knowledge discovered in brainstorm session

• Potential for cross-curricular project

EVALUATION OF REPORTS

• Develop a set of worry questions to include sampling problems, questionnaire design & delivery etc.

• Explore probability misconceptions . For example, equiprobability bias, expression of probabilities

• Research different types of data display. Technology allows students to be more innovative than the traditional bar chart, histogram, pie chart etc.

• Get students to write their own reports of a data set complete with headlines and charts.

Who do you believe?

• No evidence cell phones cause cancer : US oncologist

- The Hindu BusinessLine

News

• Link found between cell phone use and increase in brain tumours - WHO

“Worry Questions”

• Examples

• Who is the data about? Who or what was studied?

• Where did the data come from? Who paid for the investigation or research?

How was it collected?

• Was a sample used? How was it sampled? Was the sample randomly selected and is it representative?

• How reliable or accurate is the data? What measurements or questions were asked? Have measurements or terms been defined?

• What is the shape of the distribution of the data? Have they used the correct summary statistics for the type of distribution?

• Are there any outliers? What can you conclude from any outliers?

• If there is a graph drawn – has it been drawn appropriately?

• Are the claims made sensible and supported by the data? If a claim is made is it justified by facts?

• Can you suggest any extra information or calculations that should have been carried out in order to evaluate the issue in question?

• Are there any alternative explanations from causes not discussed that might result in a different interpretation of the data?

Assessment

• COMMUNICATION !

• Powerpoint slideshow

• Written report

• Wiki page

• Poster

• Oral presentation – speech

• Innovative data display

Challenges

• Different methods of assessment delivery

• Authenticity of work

• Potential for cross-curricular study

• Availability of resources

Useful Websites

Evaluation of statistical reports

• http://www.mercurynie.com.au/mathguys/mercury.htm

• http://www.simerr.educ.utas.edu.au/numeracy/default.html

• www.statschat.org.nz

• www.offsettingbehaviour.blogspot.com

• www.thestatsblog.wordpress

• Innovative Data Display

• www.coolinfographics.com

• www.infographicsshowcase.com

• http://www.smashingmagazine.com/2007/08/02/data-visualizationmodern-approaches/

Over to You !

• GROUP ACTIVITY

• TWO REPORTS with apparently opposing views. Is the evidence convincing ?

• Report Back – Are you convinced by the headline. What evidence was presented to convince you?

• Are you sceptical of the headline claims ? What evidence was presented that you are unsure of ?

• CONCLUSION – Will the article affect the way you use a cellphone ?

Importance of Statistical

Literacy ?

HG WELLS “ Statistical thinking will one day be as necessary for efficient citizenship as the ability to read or write.” ( end of 19 th century)

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