Ogive for more than type and less than type distributions intersect at
Options
AMean
BMedian
CMode
DOrigin
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Statistical Representation of DataMCQPYQ Dec 22Question 2702 of 295
All Questions Correct Answer
✅ Option b — Median
All Options:
- AMean
- BMedian
- CMode
- DOrigin
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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 .
- The **More than Ogive** starts at the total frequency and falls to zero.
Because they are continuous curves traversing from to and to respectively, they must intersect. The intersection point corresponds to a cumulative frequency of exactly (half of the total observations).
By definition, the value on the horizontal axis (x-axis) corresponding to the cumulative frequency of is the **Median**. Thus, the horizontal projection of the intersection point of both ogives gives the Median.
Hence, **Option B** is the correct answer.
About This Chapter: Statistical Representation of Data
Paper
Paper 3: Quantitative Aptitude
Weightage
2-4 Marks
Key Topics
Data, Frequency Distribution, Graphical Representation
This chapter covers Data, Frequency Distribution, Graphical Representation and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.
View Official ICAI SyllabusExam Strategy Tip
This topic carries 2-4 Marks weightage. Focus on understanding core concepts rather than memorizing.
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