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

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 $\displaystyle 10$ | $\displaystyle 15$ Below $\displaystyle 20$ | $\displaystyle 38$ Below $\displaystyle 30$ | $\displaystyle 65$ Below $\displaystyle 40$ | $\displaystyle 84$ Below $\displaystyle 50$ | $\displaystyle 100$ 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

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

\displaystyle 100

(representing students who got marks below

\displaystyle 50

).\n- The number of students who got marks below

\displaystyle 30

(which includes all students with marks in the ranges

\displaystyle <10

\displaystyle 10-20

, and

\displaystyle 20-30

) is

\displaystyle 65

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

\displaystyle 30

**, we subtract the number of students who got marks 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,

\displaystyle 35

students got marks 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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