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The distribution below gives… (Class 10 Maths 2023, Q11)

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MathsCBSE Class 10 · Standard · Board exam 2023, set 30/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2023: question 11

Set in the CBSE Class 10 board exam of 2023, paper 30/1/1, section A, question 11, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q11 · 1 mark · MCQStatistics

The distribution below gives the marks obtained by 80 students on a test:

MarksLess than 10Less than 20Less than 30Less than 40Less than 50Less than 60
Number of Students31227577580

The modal class of this distribution is :

  1. (A)10 - 20
  2. (B)20 - 30
  3. (C)30 - 40
  4. (D)50 - 60

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 30/1/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

The table gives cumulative frequencies, not class frequencies.

Hint 2

Subtract consecutive values to get each class frequency.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. Convert the 'less than' cumulative frequencies into class frequencies:

    • 0–10: 3
    • 10–20:
    • 20–30:
    • 30–40:
    • 40–50:
    • 50–60:

  2. The highest frequency is 30, for the class 30–40. So the modal class is 30–40. Option (C).

    1 mark

Answer: 30 – 40, option (C)

Where the marks are

  • Finds the class frequencies and picks 30–40 as the modal class, option (C) (1 mark)

Revise the chapter

  • Chapter: Statistics (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Statistics, one at a time, marked against the answer key and marking points.Back to the full paper2023 board paper, set 30/1/1 (Standard): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.