In a graphical representation of data, the largest numerical value is 45 the smallest numerical value is 25 . If classes desired are 4 then which class interval is

Option b: 5. Solution: To determine the size of the class interval (width 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 = 45 Smallest Value = 25 Range = 45 - 25 = 20 2. Divide the Range by the number of desired classes ( k = 4 ) to find the class interval length ( w ): w = of Classes = 20/4 = 5 Thus, the class interval size required is 5 . This corresponds to Option B. Hence, Option B is the correct answer.

Statistical Representation of DataMCQMTP Sep 24 Series IIQuestion 2762 of 295

All Questions

In a graphical representation of data, the largest numerical value is $\displaystyle 45$ the smallest numerical value is $\displaystyle 25$ . If classes desired are $\displaystyle 4$ then which class interval is

Options

\displaystyle 4.5

\displaystyle 5

\displaystyle 20

\displaystyle 7.5

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Correct Answer

✅ Option b — $\displaystyle 5$

All Options:

A $\displaystyle 4.5$
B $\displaystyle 5$
C $\displaystyle 20$
D $\displaystyle 7.5$

Detailed Solution & Explanation

To determine the size of the class interval (width

\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:

\text{Largest Value} = 45

\text{Smallest Value} = 25

\text{Range} = 45 - 25 = 20

2. **Divide the Range by the number of desired classes** (

\displaystyle k = 4

) to find the class interval length (

\displaystyle w

w = \frac{\text{Range}}{\text{Number of Classes}} = \frac{20}{4} = 5

Thus, the class interval size required is

\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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In a graphical representation of data, the largest numerical value is 45\displaystyle 4545 the smallest numerical value is 25\displaystyle 2525. If classes desired are 4\displaystyle 44 then which class interval is