Question

Assertion A: Median is the selection of central value, located in the middle of the series when all observations are arranged in ascending or descending order of magnitude but the use of median is not so popular.
Reason R: Median does not possess any mathematical properties.
In light of the above statements, choose the correct answer from the options given below:

• A. Both A and R are true and R is the correct explanation of A
• B. Both A and R are true but R is NOT the correct explanation of A
• C. A is true but R is false
• D. A is false but R is true

Hint:

Median: middle value in ordered series.
It is not popular because it lacks mathematical properties.
Mean has more mathematical properties.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
Median is a measure of central tendency.
It has certain properties and limitations.

Step 2: Key Formula or Approach:
No specific formula.
Need to understand the characteristics of median.

Step 3: Detailed Explanation:
Median is the middle value in an ordered series.
This is a correct definition.
Median is not widely used because it lacks mathematical properties.
It cannot be used in algebraic operations.
This is also correct.
However, the reason (lack of mathematical properties) is not the explanation for why median is not popular.
It is a characteristic, not the cause.
Thus, both A and R are true, but R is not the correct explanation of A.

Step 4: Final Answer:
Both A and R are true, but R is NOT the correct explanation of A.
Hence, the correct option is (B).