Ogive for more than type and less than distributions intersect at
Options
AMean
BMedian
CMode
DOrigin
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Statistical Representation of DataMCQMTP June 2023 Series IIQuestion 2752 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 of a grouped frequency distribution are curves that plot cumulative frequencies from opposite directions:
- The 'less than' ogive starts at cumulative frequency and increases continuously to the total frequency .
- The 'more than' ogive starts at the total frequency and decreases continuously to .
Because of their monotonic and opposite directions, they must intersect at a unique point. At this intersection point, the cumulative frequency value represented on the vertical axis is exactly half of the total frequency, i.e., .
By definition, the value on the horizontal x-axis corresponding to a cumulative frequency of is the **Median** of the distribution. Thus, the x-coordinate of the intersection of these two curves is 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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