2016 AMC 10B Problem 5

Attempt Problem 5 of the 2016 AMC 10B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2016 AMC 10B solutions, or check the answer key.

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5.

The mean age of Amanda's 44 cousins is 8,8, and their median age is 5.5. What is the sum of the ages of Amanda's youngest and oldest cousins?

 13 \ 13

 16 \ 16

 19 \ 19

 22 \ 22

 25 \ 25

Answer: D
Concepts:meanmedian (data)
Difficulty rating: 900
Solution:

The total of the four cousin ages is 48=324\cdot8=32. Since the median is 55, the two middle ages have average 55, so their sum is 1010.

Therefore the youngest and oldest ages sum to 3210=2232-10=22.

Thus, the correct answer is D.

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