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Mathematics — CBSE Class 10 board question

Q1. [1]
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
Previously asked in CBSE board exam
2023 30/4/1 Q6
Generated by claude-sonnet-4-6 · 2026-06-15 10:33 · grounding rag
Model Answer

(a) Mode = 3 Median − 2 Mean

Explanation

The empirical relationship given in the NCERT textbook (Chapter 13, Remarks after Section 13.4) is: 3 Median = Mode + 2 Mean, which rearranges to Mode = 3 Median − 2 Mean. Remember this formula exactly — it is a standard 1-mark question in board exams.

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