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Mathematics — CBSE Class 10 board question

Q1. [1]
If mean and median of given set of observations are 10 and 11 respectively, then the value of mode is :
  1. (a) 10.5
  2. (b) 8
  3. (c) 13
  4. (d) 21
Previously asked in CBSE board exam
2025 30/4/1 Q13
Generated by claude-sonnet-4-6 · 2026-06-15 10:34 · grounding rag
Model Answer

(c) 13

Using the empirical relationship: Mode = 3 Median − 2 Mean = 3(11) − 2(10) = 33 − 20 = 13.

Source: Chapter 13, Section 13.4 (Remarks)

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Explanation

The key formula to remember is the empirical relationship between the three measures of central tendency:

Mode = 3 Median − 2 Mean

This is stated in the Remarks under Section 13.4. Simply substitute Mean = 10 and Median = 11 to get Mode = 33 − 20 = 13. Examiners expect you to recall and apply this formula directly for such 1-mark questions.

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