Statistical Representation of DataMCQPYQ July 21Question 2631 of 295
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In a graphical representation of data, the largest numerical value is $45$, the smallest numerical value is $25$. If classes desired are 4\displaystyle 4 then which class interval is:-

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Correct Answer

✅ Option b — 5\displaystyle 5

All Options:

  • A$45$
  • B5\displaystyle 5
  • C$20$
  • D$7.5$

Detailed Solution & Explanation

To find the class interval in a graphical representation or frequency distribution, we use the formula for class width or interval, which is given by the range of the data divided by the desired number of classes.\n\nThe range of the data is the difference between the largest numerical value and the smallest numerical value:\nRange=Largest Value−Smallest Value=45−25=20\displaystyle \text{Range} = \text{Largest Value} - Smallest Value=45−25=20\displaystyle \text{Smallest Value} = 45 - 25 = 20\n\nGiven that the desired number of classes is 4\displaystyle 4, we calculate the class interval (i\displaystyle i) as follows:\ni=RangeNumber of Classes=204=5i = RangeNumber of Classes=204=5\displaystyle \frac{\text{Range}}{\text{Number of Classes}} = \frac{20}{4} = 5\n\nThus, the class interval size is 5\displaystyle 5. 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 Syllabus

Exam Strategy Tip

This topic carries 2-4 Marks weightage. Focus on understanding core concepts rather than memorizing.

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