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# 8. 2s = r + t...

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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