QWhat is the middle number if the average of 15 numbers is 15, the average of the first five numbers is 14, and the average of the other 9 numbers is 16?
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Explanation
The middle number is 11 if the average of 15 numbers is 15,
the average of the first five numbers is 14, and the average of the other 9 numbers is 16.
To find this, we can use the following steps:
Calculate the total of the 15 numbers by multiplying the average value of 15 by 15, which gives us 225.
Calculate the total of the first five numbers by multiplying the average value of 14 by 5, which gives us 70.
Calculate the total of the other 9 numbers by multiplying the average value of 16 by 9, which gives us 144.
Find the middle number by subtracting the total of the first five and other nine numbers from the total value of the 15 numbers,
which gives us (225) - [(70) + (144)] = 11.
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