Question 14
When the mean, median, and mode of the list $$
10, 2, 5, 2, 4, 2, x
$$
are arranged in increasing order, they form a non-constant arithmetic progression. What is the sum of all possible real values of $x?$
10, 2, 5, 2, 4, 2, x
$$
are arranged in increasing order, they form a non-constant arithmetic progression. What is the sum of all possible real values of $x?$