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Order the numbers by size. Then the median of three numbers must be the middle number. So the second number is 7. The mean is 11 so their sum is 3*11 = 33 so the sum of the first and third is 33-7 = 26. The range is 14 so if one of the numbers is x, another must be x+14. Now x must be the smallest or the second (=7) [It can't be the largest because x+14 is bigger] If x = 7 then x+14 = 21 and the first must be 26-21 = 5 but then the range becomes 16. So x is not 7. So x is the smallest number, and x+x+14 = 26 ie 2x+14=26 or 2x = 12 or x = 6 Then the third number is x+14 = 20 So the three are 6,7 and 20.

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Q: The median of three numbers is 7. The range is 14. The mean is 11. What are the three numbers?
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