Statistical Description of DataMTP Oct 21Question 2782 of 295
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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---|---|---|---|---Freq | 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
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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 cumulative 'less than' frequency table for the marks of a group of students: - Total number of students = 100\displaystyle 100 (cumulative frequency for <50\displaystyle <50) - Cumulative frequency of students with marks <30=65\displaystyle <30 = 65 To find the number of students who got marks more than 30\displaystyle 30: Number of students=Total students−Students with marks <30\text{Number of students} = \text{Total students} - \text{Students with marks } <30 Number of students=100−65=35\text{Number of students} = 100 - 65 = 35 This corresponds to Option C. Hence, **Option C** is the correct answer.

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