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Assertion (A): Median of… (Class 10 Maths Basic 2026, Q20)

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MathsCBSE Class 10 · Basic · Board exam 2026, set 430/5/1 · 1 mark · Assertion-reason

CBSE Class 10 Mathematics Basic 2026: question 20

Set in the CBSE Class 10 board exam of 2026, paper 430/5/1, section A, question 20, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q20 · 1 mark · Assertion-reasonCompetency-basedStatistics

Assertion (A): Median of a data is the value of , where N represents sum of all frequencies.
Reason (R): Median divides the whole distribution in two equal parts.

  1. (A)Both, Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
  2. (B)Both, Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
  3. (C)Assertion (A) is true, but Reason (R) is false.
  4. (D)Assertion (A) is false, but Reason (R) is true.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/5/1.

Hints

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

Hint 1

Is N/2 a value of the variable or a count of observations?

Hint 2

What does the median do to the data?

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. only locates the position of the median (median class); it is not the median value itself, so A is false.

  2. R is true: the median divides the data into two equal halves.

    1 mark

Answer: Option (D)

Where the marks are

  • A false (N/2 is the position, not the value), R true (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 paper2026 board paper, set 430/5/1 (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.