The sum of the integers from 1 to 10 is 55. The average number on the list from 1 to 10 is 5.5, and 5.5x10=55. In general, the sum of integers from 1 to X is X*(X+1)/2
if the question is the numbers BETWEEN one and ten, then it is 2+3+4+5+6+7+8+9 which equals 44. if you want to include the one and ten, then you get the 44 plus 1 plus 10 which equals 55.