The statement is true. If ( x ) is an odd integer, then the numbers ( x ), ( x + 2 ), ( x + 6 ), and ( x + 10 ) will be ( x ) (odd), ( x + 2 ) (odd), ( x + 6 ) (odd), and ( x + 10 ) (odd). The median of these four numbers, when arranged in order, will be the average of the two middle numbers, which are also odd. Therefore, the median will be an odd number.
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