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Mathematics — CBSE Class 10 board question

Q1. [1]
The mean and median of a frequency distribution are 43 and 43·4 respectively. The mode of the distribution is :
  1. A 43·4
  2. B 42·4
  3. C 44·2
  4. D 49·3
Previously asked in CBSE board exam
2026 30/2/1 Q17
Generated by claude-sonnet-4-6 · 2026-06-15 10:34 · grounding rag
Model Answer

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

Mode = 3 × 43.4 − 2 × 43 = 130.2 − 86 = 44.2

Answer: (C) 44.2

Explanation

CBSE expects students to know the empirical formula Mode = 3 Median − 2 Mean, which relates the three measures of central tendency for a moderately skewed distribution. Substitute the given values directly: Mode = 3(43.4) − 2(43) = 130.2 − 86 = 44.2. This formula is a standard result covered in Chapter 13 (Statistics).

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Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.