The following data relate to the marks of a group of students:Marks | <10 | <20 | <30 | <40 | <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 'less than' cumulative frequency distribution for the marks of a group of students:- The total number of students in the group is $100 (representing students who got marks less than $50 ).- The cumulative frequency of students who scored less than $30 (marks 30 = Total Students - Students with marks 30 = 100 - 65 = 35$ , there are $35 students who scored more than $30$. This corresponds to Option C., Option C is the correct answer.

The following data relate to the marks of a group of students:Marks | <10 | <20 | <30 | <40 | <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 'less than' cumulative frequency distribution for the marks of a group of students:- The total number of students in the group is $100 (representing students who got marks less than $50 ).- The cumulative frequency of students who scored less than $30 (marks 30 = Total Students - Students with marks 30 = 100 - 65 = 35$ , there are $35 students who scored more than $30$. This corresponds to Option C., Option C is the correct answer.

Statistical Representation of DataMCQMTP Oct 21Question 2769 of 295

All Questions

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

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

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Correct Answer

✅ Option c — $35$

All Options:

A$65$
B$50$
C$35$
D$43$

Detailed Solution & Explanation

We are given a 'less than' cumulative frequency distribution for the marks of a group of students:\n- The total number of students in the group is $100$ (representing students who got marks less than $50$).\n- The cumulative frequency of students who scored less than $30

\displaystyle (marks

<30$) is $65$.\n\nTo find the number of students who scored **more than $30

\displaystyle **, we subtract the number of students who scored less than or equal to &#36;30

from the total number of students:\n

Students with marks > 30 = Total Students - Students with marks < 30

Students with marks > 30 = 100 - 65 = 35

\n\nThus, there are $35$ students who scored more than $30$. This corresponds to Option C.\n\nHence, **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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