Statistical Representation of DataMCQPYQ Dec. 21Question 2697 of 295
All Questions AMean
BMedian
CMode
DRange
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Correct Answer
✅ Option b — Median
All Options:
- AMean
- BMedian
- CMode
- DRange
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Detailed Solution & Explanation
An Ogive (cumulative frequency curve) is a graphical representation of a cumulative frequency distribution. Because it plots cumulative frequency against class boundaries, it allows us to easily find the value below which a certain percentage of the data lies.
Specifically, partition values such as the **Median** (the 50th percentile), quartiles (, ), deciles, and percentiles can be read directly from the graph:
- To find the Median, we locate the point on the vertical axis corresponding to half of the total frequency ().
- We then draw a horizontal line from this point to intersect the Ogive.
- From the intersection point, we drop a perpendicular line to the horizontal axis (x-axis). The value where this perpendicular meets the horizontal axis is the Median.
Mean cannot be found graphically from an Ogive. Mode is found using a Histogram. Range is the difference between the maximum and minimum observations and is not determined via Ogives. Therefore, Ogives are used to determine 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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