Statistical Representation of DataMCQMTP June 22Question 2743 of 295
All Questions AMean
BMedian
CMode
DAll of these
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Correct Answer
✅ Option b — Median
All Options:
- AMean
- BMedian
- CMode
- DAll of these
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Detailed Solution & Explanation
The 'less than' and 'more than' ogives are graphical representations of cumulative frequencies from opposite directions.
- The **Less than Ogive** starts at cumulative frequency (at the lower boundary of the first class) and rises to the total frequency (at the upper boundary of the last class).
- The **More than Ogive** starts at the total frequency (at the lower boundary of the first class) and falls to (at the upper boundary of the last class).
Since both curves are continuous and go from one boundary to another, they must intersect. At the point of intersection, the cumulative frequency value on the vertical y-axis is exactly equal to 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 perpendicular dropped from the meeting point of the two curves to the horizontal axis 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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