1、2、3…… The 20 numbers are divided into 4 groups, 5 in each group. It is proved that the sum of 5 numbers in one group is greater than 52 Give reasons

1、2、3…… The 20 numbers are divided into 4 groups, 5 in each group. It is proved that the sum of 5 numbers in one group is greater than 52 Give reasons

prove:
Because 1 + 2 + 3 +. + 19 + 20 = 210
Assuming that the 20 numbers can be divided into 4 groups, the sum of each group should be 52.5
Therefore, if these 20 numbers are divided into four groups, it is inevitable that some groups are greater than 52.5 and some groups are less than 52.5
Therefore, the sum of five numbers in a group must be greater than 52