2022 AMC2022 AMC 10a2022 AMC 12AAMC 10AMC 12AMCarithmetic mean
Problem Statement
A data set consists of 6 (not distinct) positive integers: 1, 7, 5, 2, 5, and X. The average (arithmetic mean) of the 6 numbers equals a value in the data set. What is the sum of all positive values of X?<spanclass=′latex−bold′>(A)</span>10<spanclass=′latex−bold′>(B)</span>26<spanclass=′latex−bold′>(C)</span>32<spanclass=′latex−bold′>(D)</span>36<spanclass=′latex−bold′>(E)</span>40