Statistical Representation of DataMCQMTP Dec 22 Series IIQuestion 2787 of 295
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From the following data, cumulative frequency for the class $20-30isClass∣\displaystyle isClass |0-10\displaystyle | $10-20 | $20-30\displaystyle | $30-40 | $40-50−−−∣−−−∣−−−∣−−−∣−−−∣−−−Freq∣\displaystyle ---|---|---|---|---|---Freq |4∣\displaystyle |6\displaystyle | $20 | 8\displaystyle 8 | 3\displaystyle 3

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

✅ Option d — $30$

All Options:

  • A$26$
  • B$10$
  • C$41$
  • D$30$

Detailed Solution & Explanation

We are given the simple frequencies of classes: - Class 0−10\displaystyle 0-10: Freq = 4\displaystyle 4 - Class $10-20:Freq=\displaystyle : Freq =6$ - Class $20-30\displaystyle : Freq = $20 - Class $30-40:Freq=\displaystyle : Freq =8$ - Class $40-50:Freq=\displaystyle : Freq =3$ The cumulative frequency for the class $20-30\displaystyle is the sum of frequencies of all classes up to $20-30: Cumulative frequency=Freq(0−10)+Freq(10−20)+Freq(20−30)Cumulative frequency=Freq\displaystyle \text{Cumulative frequency} = \text{Freq}(0-10) + Freq\displaystyle \text{Freq}(10-20) + Freq\displaystyle \text{Freq}(20-30) Cumulative frequency=4+6+20=30Cumulative frequency=4+6+20=30\displaystyle \text{Cumulative frequency} = 4 + 6 + 20 = 30 This matches Option D. Hence, **Option D** 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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