2022 AMC 10A Problems/Problem 8
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Problem
A data set consists of not distinct) positive integers: , , , , , and . The average (arithmetic mean) of the numbers equals a value in the data set. What is the sum of all positive values of ?
Solution
Case 1: the mean is
.
Case 2: the mean is
.
Case 3: the mean is
.
Hence, adding up the cases, the answer is .
~MrThinker
See Also
2022 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
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