| 
             
     
        
          NOTE:  The re-posting of materials (in part or whole) from this site to the Internet 
            is  copyright violation 
            
            and is not considered "fair use" for educators. Please read the "Terms of Use".   | 
         
       
      
     You are already familiar with many topics in the study of  statistics.  
In this unit, we will embellish some of those Refresher topics (+) and introduce new lesson concepts.  
 
       indicates compatibility to NY Next Generation Math Standards (NGMS)  
     Note: "mode" and "population" standard deviation are not the focus in NGMS. 
     
       
          
            
              
                LESSONS:  | 
                * calculator link  | 
               
           
            | 
         
        
          •  | 
          Introduction to Statistics (including 4-step Statistical Process) | 
            | 
         
        
          * •  | 
          Sigma Notation (new notation needed in statistical formulas) | 
            | 
         
		 
          
  | 
           
        
          | Data: | 
            | 
         
        
          •  | 
           | 
            | 
         
        
          •  | 
			Gathering Statistical Data (collecting data, random sampling, sample and populations data) | 
            | 
         
        
          •  | 
          Biased Data (avoiding bias, recognizing valid data) | 
            | 
         
        
          •  | 
          Distribution of Statistical Data (center, spread, quartiles, IQR, outliers, SD,  shape) | 
            | 
         
        
          
  | 
           
		 
          | Examining Distribution of Data: | 
            | 
         
         
           * •  | 
           Measures of Central Tendency (Refresher+: mean, mode, median, pros, cons, outliers) | 
             | 
          
         
           •  | 
           Measures of Center (mean, median, balance point,  when to use what) | 
             | 
          
		 
		   
  | 
		    
		 
          * •  | 
           | 
            | 
         
        
          * •  | 
           | 
            | 
         
        
          * •  | 
           | 
            | 
         
          * •  | 
           Variance (definition, problem, population/sample data formulas  | 
            | 
         
        
          •  | 
           | 
            | 
         
        
          * •  | 
          Calculating Standard Deviation (calculator use, formulas, by-hand) | 
            | 
         
		 
		   
  | 
		    
		 
		   | Graphical Displays of Data: | 
		     | 
		    
		 
          •  | 
          Dot Plots (Refresher+: plotting info, example, pros, cons)  | 
            | 
         
		 
          * •  | 
          Histograms (Refresher+: compare to bar graphs, types, scaling, pros, cons)  | 
            | 
         
          * •  | 
          Box Plots  (Refresher+: box  plots,  five stat summary, w/outliers, shapes/skewed)  | 
            | 
         
		 
          •  | 
           | 
            | 
         
		 
          •  | 
           | 
            | 
         
        
          •  | 
          Comparing Statistical Graphs  | 
            | 
         
      
      
       
       
      
      
 
  
 | 
   
 
 
 |