# Talk back to statistics ppt

## 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

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 ?

### 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)