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The empirical relation between… (Class 10 Maths 2023, Q6)

questionbuddy.in/q/cbse-10-maths-2023-30-4-1-q6-empirical-relation-between-mode-median

MathsCBSE Class 10 · Standard · Board exam 2023, set 30/4/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2023: question 6

Set in the CBSE Class 10 board exam of 2023, paper 30/4/1, section A, question 6, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q6 · 1 mark · MCQStatistics

The empirical relation between the mode, median and mean of a distribution is:

  1. (A)Mode = 3 Median - 2 Mean
  2. (B)Mode = 3 Mean - 2 Median
  3. (C)Mode = 2 Median - 3 Mean
  4. (D)Mode = 2 Mean - 3 Median

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 30/4/1.

Hints

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

Hint 1

Recall the standard relation .

Hint 2

Make Mode the subject of that relation.

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. The empirical relation is .

  2. Rearranging gives . So the answer is option (A).

    1 mark

Answer: Mode = 3 Median − 2 Mean, option (A)

Where the marks are

  • Chooses option (A) (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 paper2023 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.