The following data relate to the marks of a group of students:Marks | Below 10 | Below 20 | Below 30 | Below 40 | Below 50 No of students | 15 | 38 | 65 | 84 | 100 How many students got marks more than 30 ?

Option c: 35. Solution: We are given a cumulative 'less than' frequency distribution for the marks of a group of students: - Total number of students = 100 (cumulative frequency for 'Below 50 ') - Number of students with marks below 30 = 65 To find the number of students who got marks more than 30 : Number of students = Total students - Students with marks below 30 Number of students = 100 - 65 = 35 Hence, Option C is the correct answer.

The following data relate to the marks of a group of students:Marks | Below $10$ | Below $20$ | Below $30$ | Below $40$ | Below $50$No of students | $15$ | $38$ | $65$ | $84$ | $100$How many students got marks more than $30$?

The correct answer is Option c: $35$. We are given a cumulative 'less than' frequency distribution for the marks of a group of students: - Total number of students = $100$ (cumulative frequency for 'Below $50$') - Number of students with marks below $30 = 65$ To find the number of students who got marks more than $30$: $$\text{Number of students} = \text{Total students} - \text{Students with marks below } 30$$ $$\text{Number of students} = 100 - 65 = 35$$ Hence, **Option C** is the correct answer.

Statistical Representation of DataMCQMTP May 20Question 2776 of 295

All Questions

The following data relate to the marks of a group of students:Marks | Below $\displaystyle 10$ | Below $\displaystyle 20$ | Below $\displaystyle 30$ | Below $\displaystyle 40$ | Below $\displaystyle 50$ No of students | $\displaystyle 15$ | $\displaystyle 38$ | $\displaystyle 65$ | $\displaystyle 84$ | $\displaystyle 100$ How many students got marks more than $\displaystyle 30$ ?

Options

\displaystyle 15

\displaystyle 84

\displaystyle 35

\displaystyle 100

For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option c — $\displaystyle 35$

All Options:

A $\displaystyle 15$
B $\displaystyle 84$
C $\displaystyle 35$
D $\displaystyle 100$

Detailed Solution & Explanation

We are given a cumulative 'less than' frequency distribution for the marks of a group of students: - Total number of students =

\displaystyle 100

(cumulative frequency for 'Below

\displaystyle 50

') - Number of students with marks below

\displaystyle 30 = 65

To find the number of students who got marks more than

\displaystyle 30

\text{Number of students} = \text{Total students} - \text{Students with marks below } 30

\text{Number of students} = 100 - 65 = 35

Hence, **Option C** 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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