Statistics - Mode

 
   
     
       

Mode

       

Understanding the Mode in Statistics

       

          The Mode is the value or values that occur most frequently in a dataset. Unlike the mean or median, the mode focuses on frequency rather than position or magnitude. A dataset may have one mode (unimodal), more than one mode (bimodal or multimodal), or no mode at all.        

        Mode Graph      
     
       
         

Formula for Mode:

         

The mode is the value \( x \) that has the highest frequency \( F(x) \):

         
           

              \[               F(x_{\text{mode}}) = \max               \]            

         
         

Key Properties of Mode:

         
               
  • Can be used for numerical and categorical (non-numeric) data
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  • May not be unique — multiple modes possible
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  • Only measure of central tendency that can be used for nominal data
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  • Not affected by extreme values or outliers
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Applications of Mode:

         
               
  • Finding the most common item in surveys or polls
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  • Used in fashion, marketing, and trend analysis
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  • Important in data categorization and classification
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  • Analyzing frequency distributions in statistics
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