Question

If the ‘less than type’ ogive and ‘more than type’ ogive intersect each other at (20.5, 15.5) then the median of the given data is ______.

Options

• 5.5

• 15.5

• 20.5

• 36.0

Answer 1

If the ‘less than type’ ogive and ‘more than type’ ogive intersect each other at (20.5, 15.5) then the median of the given data is 20.5.

Explanation:

The x‑coordinate (abscissa) of the intersection point of the “less than” and “more than” ogives gives the median. Here the intersection is at (20.5, 15.5), so the median = 20.5. The y‑value 15.5 equals `N/2` (so total N = 31), which is consistent with the ogive median property.