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Statistical techniques Unit 8 strand 1
 
Measures of location There are three types of ‘average’: the mean (x bar ), mode and median. These are known as measures of location. This provides a single value that represent the data.
Now try this Find the mean, median and mode of the following data: (a) 1, 1, 1, 3, 4, 5, 6 (b) 0, 1, 1, 1, 1 ,1 ,1, 9
Which of the three measures of location is most affected by an extreme value? When might the mode be of more use than either the median or the mean? What is the advantage of the mean?
Measures of dispersion One measure of  dispersion  or spread is the  range . Another is the  standard deviation ,  s  or  σ .  The formula for standard deviation is:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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Statistical techniques

  • 2.  
  • 3. Measures of location There are three types of ‘average’: the mean (x bar ), mode and median. These are known as measures of location. This provides a single value that represent the data.
  • 4. Now try this Find the mean, median and mode of the following data: (a) 1, 1, 1, 3, 4, 5, 6 (b) 0, 1, 1, 1, 1 ,1 ,1, 9
  • 5. Which of the three measures of location is most affected by an extreme value? When might the mode be of more use than either the median or the mean? What is the advantage of the mean?
  • 6. Measures of dispersion One measure of dispersion or spread is the range . Another is the standard deviation , s or σ . The formula for standard deviation is:
  • 7.  
  • 8.  
  • 9.  
  • 10.  
  • 11.  
  • 12.  
  • 13.  
  • 14.  
  • 15.  
  • 16.  
  • 17.  
  • 18.  
  • 19.  
  • 20.  
  • 21.  
  • 22.  
  • 23.