The following data relate to the marks of a group of students:Marks | <10 | <20 | <30 | <40 | <50 ---|---|---|---|---Freq | 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 table for the marks of a group of students: - Total number of students = 100 (cumulative frequency for <50 ) - Cumulative frequency of students with marks <30 = 65 To find the number of students who got marks more than 30 : Number of students = Total students - Students with marks <30 Number of students = 100 - 65 = 35 This corresponds to Option C. Hence, Option C is the correct answer.

The following data relate to the marks of a group of students:Marks | $<10$ | $<20$ | $<30$ | $<40$ | $<50$---|---|---|---|---Freq | $15$ | $38$ | $65$ | $84$ | $100$How many students got marks more than $30$?

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

Statistical Representation of DataMCQMTP Oct 21Question 2782 of 295

All Questions

The following data relate to the marks of a group of students:Marks | $\displaystyle <10$ | $\displaystyle <20$ | $\displaystyle <30$ | $\displaystyle <40$ | $\displaystyle <50$ ---|---|---|---|---Freq | $\displaystyle 15$ | $\displaystyle 38$ | $\displaystyle 65$ | $\displaystyle 84$ | $\displaystyle 100$ 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 cumulative 'less than' frequency table for the marks of a group of students: - Total number of students =

\displaystyle 100

(cumulative frequency for

\displaystyle <50

) - Cumulative frequency of students with marks

\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 } <30

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

This corresponds to Option C. 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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