Statistical Description of DataMTP Oct 21Question 2769 of 295
All Questions

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

Options

A65\displaystyle 65
B50\displaystyle 50
C35\displaystyle 35
D43\displaystyle 43
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option c — 35\displaystyle 35

All Options:

  • A65\displaystyle 65
  • B50\displaystyle 50
  • C35\displaystyle 35
  • D43\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 100\displaystyle 100 (representing students who got marks less than 50\displaystyle 50).\n- The cumulative frequency of students who scored less than 30\displaystyle 30 (marks <30\displaystyle <30) is 65\displaystyle 65.\n\nTo find the number of students who scored **more than 30\displaystyle 30**, we subtract the number of students who scored less than or equal to 30\displaystyle 30 from the total number of students:\nStudents with marks >30=Total Students−Students with marks <30\text{Students with marks } > 30 = \text{Total Students} - \text{Students with marks } < 30\nStudents with marks >30=100−65=35\text{Students with marks } > 30 = 100 - 65 = 35\n\nThus, there are 35\displaystyle 35 students who scored more than 30\displaystyle 30. This corresponds to Option C.\n\nHence, **Option C** is the correct answer.

More Questions from Statistical Description of Data

Mode can be obtained from________

The modes of presentation of data are:

The distribution of income is an example of frequency distribution of

In a frequency distribution, the relative frequency of the class is:

Histogram can be drawn when

Less than ‘o’give curve give

Ready to Master Statistical Description of Data?

Practice all 295 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free