If from the point of intersection of two ogives, a perpendicular is drawn on the x-axis, what does the x-coordinate give?

Options

A. Arithmetic mean
B. Mode
C. Median
D. Geometric Mean

Explanation

To solve the question, we need to understand the relationship between the point of intersection of two ogives and the x-coordinate when a perpendicular is drawn to the x-axis.

### Step-by-Step Solution:

1. **Identify the Ogives**: We have two ogives, which are cumulative frequency curves representing two different datasets.

2. **Point of Intersection**: The point where these two ogives intersect represents a specific value of the variable (let's denote it as \( x \)) that is common to both datasets.

3. **Drawing a Perpendicular**: From the point of intersection, we draw a perpendicular line down to the x-axis. This means we are dropping a vertical line from the intersection point straight down to where it meets the x-axis.

4. **Understanding the X-Coordinate**: The x-coordinate of the point where this perpendicular line intersects the x-axis represents a specific statistical measure. In the context of ogives, this x-coordinate corresponds to the median of the combined data represented by the two ogives.

5. **Conclusion**: Therefore, the x-coordinate at the point where the perpendicular meets the x-axis gives us the median of the combined datasets represented by the two ogives.

### Final Answer:
The x-coordinate gives the median of the combined datasets represented by the two ogives.