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The class mark of the… (Class 10 Maths Basic 2025, Q16)

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MathsCBSE Class 10 · Basic · Board exam 2025, set 430/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2025: question 16

Set in the CBSE Class 10 board exam of 2025, paper 430/1/1, section A, question 16, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q16 · 1 mark · MCQStatistics

The class mark of the median class of the following data is :

Class Interval10 – 2525 – 4040 – 5555 – 7070 – 8585 – 100
Frequency237666
  1. (A)40
  2. (B)55
  3. (C)47·5
  4. (D)62·5

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 430/1/1.

Hints

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

Hint 1

Find and write the cumulative frequencies.

Hint 2

The class mark is the average of the class limits.

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. , so . Cumulative frequencies are 2, 5, 12, 18, … .

  2. The first cumulative frequency greater than 15 is 18, so the median class is 55 – 70.

  3. Class mark . The answer is option (D).

    1 mark

Answer: 62.5, option (D)

Where the marks are

  • Finds median class 55–70 and its class mark 62.5 (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 paper2025 board paper, set 430/1/1 (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.