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If the difference of mode and… (Class 10 Maths 2024, Q7)

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MathsCBSE Class 10 · Standard · Board exam 2024, set 30/4/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2024: question 7

Set in the CBSE Class 10 board exam of 2024, paper 30/4/1, section A, question 7, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q7 · 1 mark · MCQStatistics

If the difference of mode and median of a data is 24, then the difference of its median and mean is :

  1. (A)12
  2. (B)24
  3. (C)8
  4. (D)36

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/4/1.

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

Rewrite it as Mode − Median = 2(Median − 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, so Mode Median .

  2. Median Mean . Option (A).

    1 mark

Answer: 12, option (A)

Where the marks are

  • Uses empirical relation to get 12 (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 paper2024 board paper, set 30/4/1 (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.