If the average of 201, 202, 204, 205, 206, 209, 209, 210, 212 and x is 207, what is the value of x?
Choose the correct choice:
A) 207 B) 209 C) 211 D) 212 E) 213

Rationale: sum of the deviations of the numbers in the set from the mean is always zero 201 , 202 , 204 , 205 , 206 , 209 , 209 , 210 , 212 mean is 207 so the list is - 6 - 5 - 3 - 2 - 1 + 2 + 2 + 3 + 5 . . . this shud total to zero but this is - 5 , hence we need a number that is 5 more than the mean to get a + 5 and make it zero hence the answer is 207 + 5 = 212 d
Answer: D