SOLUTION :

The statement "each average has its own special features and it is difficult to say which one is best" holds true because there are various types of averages, each with its unique features and applications. Here are some reasons why it is challenging to determine which average is the best:

Different Averages Have Different Applications
- The arithmetic mean is commonly used in determining the average of a set of numbers.
- The median is used to determine the middle value of a set of numbers, which is helpful in minimizing the impact of outliers.
- The mode is useful in identifying the most frequent value in a set of numbers.

Different Averages Have Different Limitations
- The arithmetic mean is sensitive to outliers and can be skewed by extreme values.
- The median is not influenced by outliers, but it does not consider all the values in a set.
- The mode only considers the most frequent value and does not take into account the other values in a set.

Different Averages Have Different Mathematical Formulas
- The arithmetic mean is calculated by adding up all the values in a set and dividing it by the number of values.
- The median is determined by ordering the values in a set and selecting the middle value.
- The mode is the value that appears most frequently in a set.

Conclusion
In conclusion, each average has its own unique features and limitations, making it challenging to determine which average is the best. The choice of average depends on the data set and the objective of the analysis. It is essential to understand the different types of averages and their applications to make informed decisions.