Step 1: Understanding the Concept:
Median is a measure of central tendency.
It has a specific definition.
Step 2: Key Formula or Approach:
No specific formula.
Need to understand the definition of median.
Step 3: Detailed Explanation:
The median is the middle value in an ordered series.
Half of the values are higher and half are lower.
It is not the midpoint between min and max (that is midrange).
It is not the most common value (that is mode).
Thus, the correct definition is the value for which half are higher and half are lower.
Step 4: Final Answer:
The median is the value for which half of the values are higher and half are lower.
Hence, the correct option is (A).