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If x median + y mean = z mode… (Class 10 Maths 2025, Q16)

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MathsCBSE Class 10 · Standard · Board exam 2025, set 30/5/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2025: question 16

Set in the CBSE Class 10 board exam of 2025, paper 30/5/1, section A, question 16, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q16 · 1 mark · MCQStatistics

If median mean mode; is the empirical relationship between mean, median and mode, then the value of is

  1. (A)6
  2. (B)3
  3. (C)2
  4. (D)1

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/5/1.

Hints

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

Hint 1

Recall Mode = 3 Median − 2 Mean.

Hint 2

Match coefficients with the given form.

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: , i.e. , so .

  2. . Option (C).

    1 mark

Answer: 2, option (C)

Where the marks are

  • Writes relation as 3 median − 2 mean = mode and sums 2 (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 paper2025 board paper, set 30/5/1 (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.