If the median of observations 12, 1, 8, 54, 61, 28, 45, 35, 21, 17 is M, then what is the value of 2M+5?

  1. A. 12
  2. B. 28
  3. C. 52
  4. D. 54

Correct Answer: D. 54

Explanation

Arranging the 10 numbers in ascending order: 1, 8, 12, 17, 21, 28, 35, 45, 54, 61. The median M is the average of the 5th and 6th terms: M = \frac{21+28}{2} = 24.5. Then 2M + 5 = 2(24.5) + 5 = 49 + 5 = 54.

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