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Averages

Here are some questions on averages. You may want to do some calculations in rough on paper to help you get the right answers. Where appropriate give your answers to 1 decimal place.
 For the first five questions find the mean, median and mode:
        mean median mode  
  1)   3, 12, 4, 6, 8, 5, 4  
  2)   7, 21, 2, 17, 3, 13, 7, 4, 9, 7, 9  
  3)   12, 1, 10, 1, 9, 3, 4, 9, 7, 9  
  4)   8, 0, 3, 3, 1, 7, 4, 1, 4, 4  
  5)   33, 45, 23, 23, 47  
 
Now try these questions:
 
  6)   Find the mean and range of the following numbers: mean range    
      24, 30, 35, 40, 60, 55    
 
  7)   Find the mean, median and mode of this frequency distribution mean median mode  
      x 1   2   3   4    5    6    7   8  
      y 1   4   6   8   13   11   5   4  
 
  8)   A cricketer has a mean of 22 runs per inning over 10 innings.
In the next two he scores 10 and 12. What is the new mean
     
 
  9)   Find the mean, median and mode of this frequency distribution mean median mode  
      x  1   2   3    4     5     6   7   8   9   10  
      y  1   4   7   10   16   11   8   4   3   1  
 
  10)   The examination marks of 200 pupils are as follows median mean  :  
      Mark  1     2    3    4     5     6     7    8   9   10    
      Freq   2   12   26   51   57   22   17   7   4    2    
      calculate the median and mean mark    
 
  11)   What is the mode of this list of numbers: mode      
      1, 0, 2, 2, 0, 4, 1, 3, 2, 1, 2, 3, 4, 5, 4, 3, 6      
 
      This frequency distribution table shows the number of pets in 50 houses        
      Pets   0   1    2    3    4        
      Freq   4   6   18   14   8        
        mean median mode  
  12)   Calculate the mean number of pets per household      
 
  13)   Work out the median      
 
  14)   Write down the mode      
 
Here's a final question to think about. You won't get marked for it but have a go anyway:
 
  15)   Write down five numbers so that the mean is 6, the median is 5 and the mode is 4.        
 
 
You scored
     
 
Created by James Dawson, John Ruskin School 2002