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8. 2s = r + t...

Jonathan EvansJonathan Evans PowerScore StaffJoined: 10/31/2016

Description

  • Type: Quantitative Comparison
  • Topic: Algebra, Statistics
    • Median
  • Answer: C, the Quantities are Equal

Explanation


Consider scratch work above.
  1. Start by Recording What You Know™ and getting your Possibility Matrix™ and answer choices set up.
  2. There are no limitations on what r, s, and t can be. Anything in the set of real numbers would work as long as the numbers satisfy the equation 2s = r + t. 
  3. However, there's no reason to make it hard on ourselves.
  4. Let's supply some numbers to see what happens.
  5. Make s = 1. Then let's make both t and r equal to 1 to satisfy the equation. 2 = 1 + 1.
  6. For Column A we have the median of {1, 1, 1}, which is 1. 
  7. For Column B we have s = 1. 
  8. The columns are equal. Rule out answers A and B.
  9. Let's try out some different values. s = 0, r = 1, t = -1.
  10. The median, 0, is still equal to s, which also equals 0.
  11. One more set of numbers for good measure. s = -1, r = -2, t = 0.
  12. Still checks out. The median, -1, is still equal to s, which also equals -1.
  13. The quantities are equal.
  14. C is the correct answer.
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