Question

For the given data with 50 observations ‘the less than ogive’ and ‘the more than ogive’ intersect at the point (15·5, 20). The median of the data is

• A. 15·5
• B. 20
• C. 14·5
• D. 15

Answer 1

The Correct Option is A

Step 1: Understanding Ogive Intersection

In statistics, the intersection of the less than ogive and the more than ogive gives the median of the data.

Step 2: Identify the Median 

From the given data, the two ogives intersect at \( (15.5, 20) \). The x-coordinate of this point represents the median.

\[ \text{Median} = 15.5 \]

Final Answer: \( \mathbf{15.5} \)

Answer 2

The point where the 'less than ogive' and 'more than ogive' intersect gives the median of the data on the x-axis. 
The y-coordinate represents the cumulative frequency at the median. 
Given that the intersection point is (15.5, 20), the x-coordinate of this point is 15.5. 
Therefore, the median of the data is 15.5. 
Final Answer: The final answer is $\boxed{15.5}$