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Group A consists of the five values 3, 7, 9, 15, 21 and Group B of the four values 5, 11, 13, 25. The two groups are put together to form one set of nine values. What is the median of the combined set?

Competition practiceData & Probability
  • A9
  • B12
  • C10.5
  • D11

Step-by-Step Solution

Merge and order the nine values: 3, 5, 7, 9, 11, 13, 15, 21, 25. With nine observations the median is the 5th value, which is 11. Note that a combined median is NOT the average of the two group medians — those are 9 and 12, whose average 10.5 is not the answer. Medians cannot be pooled the way totals can.
Answer: D) 11

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