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The mean and median of… (Class 10 Maths SQP 2026-27, Q16)

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MathsCBSE Class 10 · Standard · Sample paper, session 2026-27 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard sample paper 2026-27: question 16

From the official CBSE sample question paper for 2026-27, 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 mean and median of the data are 35.5 and 32 respectively. The value of mode for this data is:

  1. (A)23
  2. (B)26
  3. (C)25
  4. (D)30

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

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

Hint 1

There is a standard relation linking mean, median and mode.

Hint 2

The relation is Mode = 3 Median − 2 Mean; put in the given values.

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. Use the empirical relation between the three measures of central tendency: .

  2. Substitute Median and Mean : . Hence the correct option is (C).

    1 mark

Answer: Mode = 25, option (C)

Where the marks are

  • Uses Mode = 3 Median − 2 Mean and gets 25, option (C) (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 2026-27 (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.