What is the median of the first 20 even numbers?

MATHEMATICS
SAT 2021

What is the median of the first 20 even numbers?

  • A. 20
  • B. 10
  • C. 21
  • D. 11

Correct Answer: C. 21

Explanation

Let's think of this list of numbers: 2, 4, 6, ... Where does it end? The first 5 even numbers goes to 10. That means that the last number in the first 20 will be the number 40. So the question is, Where is the middle? Well, this is an even number of values, so there is no actual middle. What we have to do, then is find the 10th and the 11th numbers and take their average. The 10th number is easy, based on what we just said. If the 5th is 10, then the 10th is 20. The 11th will just be two more than that, namely 22. To calculate the median, we just have to find the average of those two numbers: 20+22/2=21 If you prefer to write out the full list: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40



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