Statistical methods are no substitute for common sense. Comment with examples from your daily life.
Statistical methods are powerful tools, but they cannot replace common sense in decision-making. Data must be interpreted wisely, not just mechanically applied.
A classic example is the story of a family crossing a river. The father calculated the average depth of the river and compared it with the average height of his family members. Since the average height was greater than the average depth, he concluded they could cross safely. However, some family members (children) drowned because the river had variations in depth – some parts were deeper than the average.
This shows that the fault lies not with statistical methods but with their misuse. Statistics provides numerical measures like mean, but common sense is essential to understand their limitations and apply them appropriately in real-life situations.
Explanation
The textbook uses the river-crossing story to illustrate that statistical averages can be misleading if applied without common sense. The father's error was assuming that the average depth represented the entire river uniformly. In reality, rivers have varying depths – some spots are shallower and some are deeper than the average. A person with common sense would recognize this variation and not risk crossing based solely on average calculations. This example teaches students that statistical tools are meant to aid decision-making, not replace human judgment.