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
- squaring every integer,[1]
- adding 4 to every integer,[1]
- increasing only the smallest integer by 2,[1]
- 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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