The mode of a continuous frequency distribution can be determined graphically from
Options
ABy using Histogram
BBy using frequency polygon
CBy using ogive
DBy using frequency curve
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Statistical Representation of DataPYQ May 25Question 4060 of 295
All Questions Correct Answer
✅ Option a — By using Histogram
All Options:
- ABy using Histogram
- BBy using frequency polygon
- CBy using ogive
- DBy using frequency curve
Detailed Solution & Explanation
To find the mode of a continuous frequency distribution graphically, we use a Histogram:
1. A Histogram consists of a set of adjacent rectangles where the areas of the rectangles are proportional to the frequencies of the classes they represent.
2. The class with the highest frequency corresponds to the tallest rectangle in the histogram, which is the modal class.
3. By drawing lines from the top corners of the modal rectangle to the opposite top corners of its adjacent rectangles, the intersection point of these lines gives the mode on the horizontal axis (X-axis).
4. Other graphical tools like Ogives are used to find partition values like Median, Deciles, and Percentiles, while frequency polygons and curves are for visualizing the distribution pattern.
Hence, **Option A** is the correct answer.
1. A Histogram consists of a set of adjacent rectangles where the areas of the rectangles are proportional to the frequencies of the classes they represent.
2. The class with the highest frequency corresponds to the tallest rectangle in the histogram, which is the modal class.
3. By drawing lines from the top corners of the modal rectangle to the opposite top corners of its adjacent rectangles, the intersection point of these lines gives the mode on the horizontal axis (X-axis).
4. Other graphical tools like Ogives are used to find partition values like Median, Deciles, and Percentiles, while frequency polygons and curves are for visualizing the distribution pattern.
Hence, **Option A** 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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