📚 CBSE Grade-10 Study Guide Open in the Study Guide single page app →
Home › Mathematics

Mathematics — CBSE Class 10 board question

Q1. [1]
If the mean and the median of a data are 12 and 15 respectively, then its mode is :
  1. (a) $13 \cdot 5$
  2. (b) $21$
  3. (c) $6$
  4. (d) $14$
Previously asked in CBSE board exam
2023 30/5/1 Q10
Generated by claude-sonnet-4-6 · 2026-06-15 10:33 · grounding rag
Model Answer

(b) 21

Using the empirical relation: Mode = 3 Median − 2 Mean = 3(15) − 2(12) = 45 − 24 = 21.

Explanation

The key formula is the empirical relationship: 3 Median = Mode + 2 Mean, given in the Remarks of Section 13.4. Rearranging: Mode = 3 Median − 2 Mean. Always remember this formula for MCQs and short-answer questions.

If a question refers to an image, map, graph or diagram that is not shown here, open the Study Guide single page app, go to Library and find the actual CBSE question paper. The original papers are also available on the CBSE website: cbse.gov.in.
Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.