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The median of a set of 9… (Class 10 Maths SQP 2025-26, Q17)

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MathsCBSE Class 10 · Standard · Sample paper, session 2025-26 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard sample paper 2025-26: question 17

From the official CBSE sample question paper for 2025-26, section A, question 17, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q17 · 1 mark · MCQStatistics

The median of a set of 9 distinct observation is 20.5. If each of the observations of a set is increased by 2, then the median of a new set

  1. (A)is increased by 2
  2. (B)is decreased by 2
  3. (C)is two times the original number
  4. (D)Remains same as that of original observations

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2025-26.

Hints

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

Hint 1

Does adding the same number to every value change their order?

Hint 2

The median is the middle value of the ordered list.

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. Adding 2 to every observation does not change their order, so the same middle (5th) observation stays the median.

  2. That observation has also increased by 2, so the new median is . The median increases by 2, which is option (A).

    1 mark

Answer: Option (A)

Where the marks are

  • Reasons that the order is unchanged, so the median increases by 2, option (A) (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 paperSample paper 2025-26 (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.