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If the mode of some… (Class 10 Maths 2025, Q15)

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MathsCBSE Class 10 · Standard · Board exam 2025, set 30/6/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2025: question 15

Set in the CBSE Class 10 board exam of 2025, paper 30/6/1, section A, question 15, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q15 · 1 mark · MCQStatistics

If the mode of some observations is 10 and sum of mean and median is 25, then the mean and median respectively are

  1. (A)12 and 13
  2. (B)13 and 12
  3. (C)10 and 15
  4. (D)15 and 10

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/6/1.

Hints

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

Hint 1

Recall the relation linking mode, median and mean.

Hint 2

Replace mean by 25 − median.

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: . With Mean Median: .

    ½ mark

  2. Mean . So mean 13, median 12. Option (B).

    ½ mark

Answer: 13 and 12, option (B)

Where the marks are

  • Uses 3 Median = Mode + 2 Mean (½ mark)
  • Mean 13, median 12 (½ 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 30/6/1 (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.