Which average is most appropriate for determining the average shoe size.

Correct option is C

1. Mode represents the most frequently occurring shoe size within a given dataset.  

2. Why Mode is most appropriate:

3. Why other averages might not be as suitable:

   • Arithmetic Mean: Can be skewed by extreme values (e.g., unusually large or small shoe sizes) and may not accurately represent the most common size.  
   • Median: While less susceptible to outliers than the mean, it might not be as informative as the mode for shoe size distribution.
   • Geometric Mean: Primarily used for data that exhibits multiplicative growth, which is not typically applicable to shoe sizes.
   • Shoe sizes are typically available in discrete whole or half sizes (e.g., 7, 7.5, 8).  
   • The mode directly reflects the most common shoe size in demand, which is crucial for inventory management and production decisions for shoe manufacturers and retailers.