Statistical Representation of DataMCQMTP Sep 24 Series IIQuestion 2762 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

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option b — 5\displaystyle 5

All Options:

  • A$4.5$
  • B5\displaystyle 5
  • C$20$
  • D$7.5$

Detailed Solution & Explanation

To determine the size of the class interval (width w\displaystyle w) for grouping a dataset, we use the following relationship: 1. **Find the Range** of the data, which is the difference between the largest and smallest values: Largest Value=45Largest Value=45\displaystyle \text{Largest Value} = 45 Smallest Value=25Smallest Value=25\displaystyle \text{Smallest Value} = 25 Range=45−25=20Range=45−25=20\displaystyle \text{Range} = 45 - 25 = 20 2. **Divide the Range by the number of desired classes** (k=4\displaystyle k = 4) to find the class interval length (w\displaystyle w): w=RangeNumber of Classes=204=5w = RangeNumber of Classes=204=5\displaystyle \frac{\text{Range}}{\text{Number of Classes}} = \frac{20}{4} = 5 Thus, the class interval size required is 5\displaystyle 5. This corresponds to Option B. 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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