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The even numbers are given by tn = 2n, giving {2, 4, 6, ...} for n = 1, 2, 3, ...

The median of an even number of data items is the mean of the middle two, which is the mean of the (100 / 2) = 50th and (100 / 2) + 1 = 51st even numbers, ie:

median = mean(2 x 50, 2 x 51)

= (2 x 50 + 2 x 51) / 2

= 2 x (50 + 51) / 2

= 50 + 51

= 101

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Q: What is the median of the first 100 even numbers?
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