Statistical Representation of DataMCQMTP Oct 21Question 2781 of 295
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The following data relate to the incomes of $86\displaystyle persons:Income | $500-999 | $1000-1499\displaystyle | $1500-1999 | $2000-2499\displaystyle ---|---|---|---|---Freq | $15 | $28\displaystyle | $36 | 7\displaystyle 7What is the percentage of persons earning more than ₹$1500$?

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

✅ Option a — $50$

All Options:

  • A$50$
  • B$45$
  • C$40$
  • D$60$

Detailed Solution & Explanation

We are given the following frequency distribution of incomes for $86$ persons: - Income $500-999\displaystyle : $15 persons - Income $1000-1499\displaystyle : $28 persons - Income $1500-1999\displaystyle : $36 persons - Income $2000-2499:\displaystyle :7$ persons To find the percentage of persons earning more than ₹$1500$: 1. The classes corresponding to income more than ₹$1500\displaystyle are $1500-1999 and $2000-2499$. 2. Sum of frequencies for these classes = $36 + 7 = 43$ persons. 3. Percentage of persons = (4386)×100=50%\displaystyle \left(4386\displaystyle \frac{43}{86}\right) ×\displaystyle \times 100 = 50\%. This corresponds to Option A. Hence, **Option A** 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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