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MathsCBSE Class 10 · Basic · Board exam 2026, set 430/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2026: question 16

Set in the CBSE Class 10 board exam of 2026, 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)
  2. (B)
  3. (C)
  4. (D)

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/1/1.

Hints

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

Hint 1

Find N/2.

Hint 2

Locate the first cumulative frequency above N/2.

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 . The cumulative frequencies are 2, 5, 12, 18, …

    ½ mark
  2. The first cumulative frequency above 15 is 18, so the median class is 55–70. Its class mark is .

    ½ mark

Answer: 62.5, option (D)

Where the marks are

  • Finds and the cumulative frequencies (½ mark)
  • Median class 55–70, class mark 62.5 (½ mark)

Revise the chapter

  • Chapter: Statistics (notes, formulas, where marks are lost and every past question)

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.