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Mathematics — CBSE Class 10 board question

Q1. [1]
Mode and Mean of a data are $15x$ and $18x$, respectively. Then the median of the data is:
  1. A $x$
  2. B $11x$
  3. C $17x$
  4. D $34x$
Previously asked in CBSE board exam
2025 30/1/1 Q12
Generated by claude-sonnet-4-6 · 2026-06-15 10:32 · grounding rag
Model Answer

Using the empirical relationship: 3 Median = Mode + 2 Mean

$3 \text{ Median} = 15x + 2(18x) = 15x + 36x = 51x$

$\text{Median} = 17x$

Answer: (C) $17x$

Explanation

The key formula (given as a Remark in Section 13.4) is 3 Median = Mode + 2 Mean. Substituting Mode = 15x and Mean = 18x gives Median = 17x. Examiners expect you to recall and apply this empirical relationship directly — no derivation needed for an MCQ.

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