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The annual rainfall… (Class 10 Maths Basic 2024, Q11)

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MathsCBSE Class 10 · Basic · Board exam 2024, set 430/2/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2024: question 11

Set in the CBSE Class 10 board exam of 2024, paper 430/2/1, 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 annual rainfall record of a city for 66 days is given in the following table:

Rainfall (in cm)0–1010–2020–3030–4040–5050–60
Number of days221081556

The difference of upper limits of modal and median classes is:

  1. (A)10
  2. (B)15
  3. (C)20
  4. (D)30

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/2/1.

Hints

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

Hint 1

The modal class has the greatest frequency.

Hint 2

For the median class, find where cumulative frequency first exceeds 33.

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. Modal class (highest frequency 22): 0–10, upper limit 10.

  2. ; cumulative frequencies 22, 32, 40… so median class is 20–30, upper limit 30.

  3. Difference . Option (C).

    1 mark

Answer: 20, option (C)

Where the marks are

  • Identifies modal class 0–10 and median class 20–30, difference 20 (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Statistics, one at a time, marked against the answer key and marking points.Back to the full paper2024 board paper, set 430/2/1 (Basic): 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.