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In the data 4, 7, 9, 12, 18 the largest value 18 is replaced by 30. By how much does the median change?

Competition practiceData & Probability
  • A2.4
  • B3
  • C0
  • D9

Step-by-Step Solution

The median of 5 ordered values is the 3rd one, which is 9 both before and after the change, so the median changes by 0. The mean, by contrast, rises by 12 ÷ 5 = 2.4 — the median is resistant to an extreme value.
Answer: C) 0

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