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

Option c: $35$. Solution: The given table represents 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 below $50 ).- The number of students who got marks below $30 (which includes all students with marks in the ranges 30 = Total Students - Students with marks 30 = 100 - 65 = 35$ , $35 students got marks more than $30$. This corresponds to Option C., Option C is the correct answer.

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

The correct answer is Option c: $35$. The given table represents 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 below $50 ).- The number of students who got marks below $30 (which includes all students with marks in the ranges 30 = Total Students - Students with marks 30 = 100 - 65 = 35$ , $35 students got marks more than $30$. This corresponds to Option C., Option C is the correct answer.

Statistical Representation of DataMCQMTP Sep 24 Series IIQuestion 2764 of 295

All Questions

The following data relate to the marks of group of students:Marks | No of students--- | ---Below $10 $\displaystyle | $15$ Below $20 $\displaystyle | $38$ Below $30 $\displaystyle | $65$ Below $40 $\displaystyle | $84$ Below $50 $\displaystyle | $100$ 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

The given table represents 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 below $50$).\n- The number of students who got marks below $30$ (which includes all students with marks in the ranges $<10

\displaystyle , &#36;10-20

, and $20-30$) is $65$.\n\nTo find the number of students who got marks **more than $30

\displaystyle **, we subtract the number of students who got marks 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, $35$ students got marks 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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The following data relate to the marks of group of students:Marks | No of students--- | ---Below $10\displaystyle | &#36;15Below $20\displaystyle | &#36;38Below $30\displaystyle | &#36;65Below $40\displaystyle | &#36;84Below $50\displaystyle | &#36;100How many students got marks more than $30$?