Explanation

Arrange the 11 numbers given in order, from least to greatest:
8, 8, 8, 8, 10, 10, 10, 10, 11, 12, 12

We still have to add y, but what is the median of this list?

Value of y	List	Value of Median
1,2,3,4,5,6,7,8	y, 8, 8, 8, 8, 10, 10, 10, 10, 11, 12, 12	10
9	8, 8, 8, 8, y, 10, 10, 10, 10, 11, 12, 12	10
10	8, 8, 8, 8, y, 10, 10, 10, 10, 11, 12, 12	10
12, 13, ...	8, 8, 8, 8, 10, 10, 10, 10, 11, 12, 12, y	10

Hence irrespective of the value of y we have Median is 10.
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Since there can be only one correct answer in a numeric entry question, we need only test one possible value of y.
Let's say y equals 1000

So, our set, when listed in ascending order, becomes: {8, 8, 8, 8, 10, 10, 10, 10, 11, 12, 12, 1000
Since we have an even number of values in the set, the median will equal the average of the two middlemost values.
So, in this particular case, the median = (10 + 10)/2 = 10

Since there can be only one correct answer, the correct answer must be 10

Answer: 10

Cheers,
Brent

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