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The median and mode of a… (Class 10 Maths 2026, Q16)

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MathsCBSE Class 10 · Standard · Board exam 2026, set 30/3/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2026: question 16

Set in the CBSE Class 10 board exam of 2026, paper 30/3/1, 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 median and mode of a distribution are 25.2 and 26.1 respectively. The mean of the distribution is :

  1. (A)24.75
  2. (B)24.25
  3. (C)24.3
  4. (D)25.5

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/3/1.

Hints

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

Hint 1

Use the empirical relation that links mean, median and mode.

Hint 2

3 Median = Mode + 2 Mean.

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. Empirical relation: Mode Median Mean.

  2. Mean Mean Mean , which is option (A).

    1 mark

Answer: 24.75; option (A)

Where the marks are

  • Chooses option (A) 24.75 (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 30/3/1 (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.