Medians of transformed consecutive integers

Medians of transformed consecutive integers

Secondary 2
4 marks
TGM Original Questions

Core stretch

Seven consecutive positive integers have median \(x\), so they are \(x-3,x-2,x-1,x,x+1,x+2,x+3\). Find the median after

  1. squaring every integer,[1]
  2. adding 4 to every integer,[1]
  3. increasing only the smallest integer by 2,[1]
  4. increasing only the largest integer by 5.[1]

Solution:

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Answer:(a) \(x^2\) (b) \(x+4\) (c) \(x\) (d) \(x\).

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