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Mathematics — CBSE Class 10 board question

Q1. [1]
If value of each observation in a data is increased by 2, then median of the new data
  1. (A) increases by 2
  2. (B) increases by $2n$
  3. (C) remains same
  4. (D) decreases by 2
Previously asked in CBSE board exam
2024 30/2/1 Q12
Generated by claude-sonnet-4-6 · 2026-06-15 10:32 · grounding rag
Model Answer

(A) increases by 2

When each observation is increased by 2, the middle value also shifts up by 2, so the median increases by 2.

Explanation

Median depends on the positional value of the middle observation. If every observation increases by a constant k, the entire data shifts by k, so the median also increases by k. Here k = 2, so the answer is (A). Options (B) and (D) are incorrect; (C) would be true only if the data were unchanged.

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