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:\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 $30$ (marks $ 30 = \text{Total Students} - \text{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.

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 | $\displaystyle 15$ | $\displaystyle 38$ | $\displaystyle 65$ | $\displaystyle 84$ | $\displaystyle 100$ How many students got marks more than $\displaystyle 30$ ?

Options

\displaystyle 65

\displaystyle 50

\displaystyle 35

\displaystyle 43

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Correct Answer

✅ Option c — $\displaystyle 35$

All Options:

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

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

\displaystyle 100

(representing students who got marks less than

\displaystyle 50

).\n- The cumulative frequency of students who scored less than

\displaystyle 30

(marks

\displaystyle <30

) is

\displaystyle 65

.\n\nTo find the number of students who scored **more than

\displaystyle 30

**, we subtract the number of students who scored less than or equal to

\displaystyle 30

from the total number of students:\n

\text{Students with marks } > 30 = \text{Total Students} - \text{Students with marks } < 30

\text{Students with marks } > 30 = 100 - 65 = 35

\n\nThus, there are

\displaystyle 35

students who scored more than

\displaystyle 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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Mean vs Median vs Mode: Measures of Central Tendency

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