Question

Here is a graph of "Less than type" and "more than type" give is drawn.
It shows the information about the yearly salary (In lakhs Rs.) of officers in a factory.
Boundary points (Annual Salary)
Both the curves intersect $(20.5,15)$. Find the median of the information.

• A. $35.5$ lakhs
• B. $20.5$ lakhs
• C. $15$ lakhs
• D. $17.75$ lakhs

Answer 1

The correct option is B $20.5$ lakhs

Draw the perpendiculars from the point of intersection on both $X$ and $Y$ axis.

The ogive curves intersect at the point $(20.5,15)$

The perpendicular drawn intersects $X$-axis at $20.5$ and $Y$-axis at $15$.

Since, point of intersection of perpendicular and $X$-axis is the median.

Therefore, $20.5$ lakhs is the median.

Hence, option B is correct.