Statistical Representation of DataMCQMTP Dec 22 Series IIQuestion 2787 of 295
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From the following data, cumulative frequency for the class 2030\displaystyle 20-30 isClass | 010\displaystyle 0-10 | 1020\displaystyle 10-20 | 2030\displaystyle 20-30 | 3040\displaystyle 30-40 | 4050\displaystyle 40-50---|---|---|---|---|---Freq | 4\displaystyle 4 | 6\displaystyle 6 | 20\displaystyle 20 | 8\displaystyle 8 | 3\displaystyle 3

Options

A26\displaystyle 26
B10\displaystyle 10
C41\displaystyle 41
D30\displaystyle 30
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Correct Answer

Option d30\displaystyle 30

All Options:

  • A26\displaystyle 26
  • B10\displaystyle 10
  • C41\displaystyle 41
  • D30\displaystyle 30

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Detailed Solution & Explanation

We are given the simple frequencies of classes: - Class 010\displaystyle 0-10: Freq = 4\displaystyle 4 - Class 1020\displaystyle 10-20: Freq = 6\displaystyle 6 - Class 2030\displaystyle 20-30: Freq = 20\displaystyle 20 - Class 3040\displaystyle 30-40: Freq = 8\displaystyle 8 - Class 4050\displaystyle 40-50: Freq = 3\displaystyle 3 The cumulative frequency for the class 2030\displaystyle 20-30 is the sum of frequencies of all classes up to 2030\displaystyle 20-30: Cumulative frequency=Freq(010)+Freq(1020)+Freq(2030)\text{Cumulative frequency} = \text{Freq}(0-10) + \text{Freq}(10-20) + \text{Freq}(20-30) Cumulative frequency=4+6+20=30\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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