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For the data 4, 7, 9, 12, 15, 20, 21, 24, 27, 30, 35 (already in ascending order) find the interquartile range, using the quartile positions (n + 1)/4 and 3(n + 1)/4.

Competition practiceData & Probability
  • A12
  • B15
  • C21
  • D18

Step-by-Step Solution

Here n = 11, so Q1 is the (11 + 1)/4 = 3rd value = 9 and Q3 is the 3(11 + 1)/4 = 9th value = 27. Interquartile range = Q3 − Q1 = 27 − 9 = 18.
Answer: D) 18

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