The following is the average ES point range per hour of day for the past 28 trading days:
12:00:00 AM to 12:59:00 AM = 1.61111111111111
1:00:00 AM to 1:59:00 AM = 1.75
2:00:00 AM to 2:59:00 AM = 2.16666666666667
3:00:00 AM to 3:59:00 AM = 5.56481481481481
4:00:00 AM to 4:59:00 AM = 5.17592592592593
5:00:00 AM to 5:59:00 AM = 4.10185185185185
6:00:00 AM to 6:59:00 AM = 4.33333333333333
7:00:00 AM to 7:59:00 AM = 5.00925925925926
8:00:00 AM to 8:59:00 AM = 5.28703703703704
9:00:00 AM to 9:59:00 AM = 9.30555555555556
10:00:00 AM to 10:59:00 AM = 12.0925925925926
11:00:00 AM to 11:59:00 AM = 8.53703703703704
12:00:00 PM to 12:59:00 PM = 7.71296296296296
1:00:00 PM to 1:59:00 PM = 8.375
2:00:00 PM to 2:59:00 PM = 9.49038461538462
3:00:00 PM to 3:59:00 PM = 10.5769230769231
4:00:00 PM to 4:59:00 PM = 5.375
5:00:00 PM to 5:59:00 PM = 1.89583333333333
6:00:00 PM to 6:59:00 PM = 2.43
7:00:00 PM to 7:59:00 PM = 1.63
8:00:00 PM to 8:59:00 PM = 1.84
9:00:00 PM to 9:59:00 PM = 1.97115384615385
10:00:00 PM to 10:59:00 PM = 1.63461538461538
11:00:00 PM to 11:59:00 PM = 0.545454545454545