Inference



Understanding Inference





   
 STATISTIC METHODS TO MAKE AN INFERENCE EXERCISE RESOURCES

 Introduction:

the comparative investigative question &

the purpose of investigation

  REPORT WRITING FOR TEACHER

 Method:

how to select a sample & collect data

  SIMPLE RANDOM SAMPLING
STRATIFIED SAMPLING
CLUSTER SAMPLING
SYSTEMATIC SAMPLING

 Results:

Draw a box plot using a stem-and-leaf diagram

 

 DRAW A BOX PLOT USING GEOGEBRA

 

DRAW A BOX PLOT USING EXCEL

 Results:

Work out some statistics (tendeny and spread)

 
 RANGE,QUARTILES AND MEDIAN

HOW MANY PEOPLE 
ABOVE MEDIAN


COMPARING USING MEDIAN AND IQR

 Discussion:

to make an inference or to answer your questions

  
VARIATION

UNDERSTANDING CONFIDENCE INTERVALS

WORKING OUT CONFIDENCE INTERVALS USING MARGIN ERROR FORMULA

COMPARING BOX PLOTS
 Summary of the statistics cycle  
 Task A  
 Task B  
 Task C  
 Revision




 







PRACTISE ASSESSMENT
 


Achievement Criteria 


Achievement  

• Use statistical methods to make an inference. 

Achievement with Merit

• Use statistical methods to make an inference, with justification

Achievement with Excellence 

• Use statistical methods to make an inference, with statistical insight. 


Learning objectives  include:

• carry out investigations of phenomena, using the statistical enquiry cycle: 

− using existing data sets 

− evaluating the choice of sampling and data collection methods used 

− using relevant contextual knowledge, exploratory data analysis, and statistical 

inference 

• make inferences from surveys: 

− using sample statistics to make point estimates of population parameters 

− recognising the effect of sample size on the variability of an estimate

 in the Statistics 


Methods involve: 

• posing an appropriate investigative comparison question from a given set of 

population data 

• selecting random samples 

• selecting and using appropriate displays and measures 

• discussing sample distributions 

• discussing sampling variability, including the variability of estimates 

• making an inference 

• communicating findings in a conclusion.