Mode can be obtained from________
Options
AFrequency polygon
BHistogram
COgive
DAll of the above
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Statistical Representation of DataMCQPYQ Jan. 21Question 2693 of 295
All Questions Correct Answer
✅ Option b — Histogram
All Options:
- AFrequency polygon
- BHistogram
- COgive
- DAll of the above
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Detailed Solution & Explanation
To find the mode of a frequency distribution graphically, we use a **Histogram**. A histogram consists of a set of adjacent rectangles where the class intervals are represented on the horizontal axis and the corresponding frequencies (or frequency densities) are represented on the vertical axis. The rectangle with the highest height corresponds to the modal class. Within this modal rectangle, we can graphically estimate the mode by drawing two diagonal lines: one from the top-right corner of the modal rectangle to the top-right corner of the preceding rectangle, and another from the top-left corner of the modal rectangle to the top-left corner of the succeeding rectangle. The x-coordinate of the intersection point of these diagonal lines gives the mode.
Conversely, an Ogive (cumulative frequency curve) is used to determine partition values such as the median, quartiles, deciles, and percentiles. A frequency polygon is primarily used to represent the overall shape of the distribution and compare multiple distributions, but it is not the primary graphical tool for obtaining the mode. Therefore, the mode is obtained from a histogram.
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.
Key Concepts to Understand
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