Statistical Description of DataPYQ Dec 22Question 2702 of 295
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Ogive for more than type and less than type distributions intersect at

Options

AMean
BMedian
CMode
DOrigin
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Correct Answer

✅ Option b — Median

All Options:

  • AMean
  • BMedian
  • CMode
  • DOrigin

Detailed Solution & Explanation

The "less than" ogive and the "more than" ogive are cumulative frequency curves representing the distribution of data from opposite directions. - The **Less than Ogive** starts at zero cumulative frequency and rises to the total frequency N\displaystyle N. - The **More than Ogive** starts at the total frequency N\displaystyle N and falls to zero. Because they are continuous curves traversing from 0\displaystyle 0 to N\displaystyle N and N\displaystyle N to 0\displaystyle 0 respectively, they must intersect. The intersection point corresponds to a cumulative frequency of exactly N/2\displaystyle N/2 (half of the total observations). By definition, the value on the horizontal axis (x-axis) corresponding to the cumulative frequency of N/2\displaystyle N/2 is the **Median**. Thus, the horizontal projection of the intersection point of both ogives gives the Median. Hence, **Option B** is the correct answer.

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