What is the median of 2, 4, 6, \dots, 100?
- A. 48
- B. 49
- C. 50
- D. 51 ✓
Correct Answer: D. 51
Explanation
This is an arithmetic progression of even numbers with n = 50 terms. The median of an even number of terms is the average of the \frac{n}{2}th and (\frac{n}{2}+1)th terms. Thus, the median is the average of the 25th term (50) and the 26th term (52), which is \frac{50+52}{2} = 51.
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