here is the amc historical results AMC Award Descriptions
AIME floor: Before 2020, approximately the top 2.5% of scorers on the AMC 10 and the top 5% of scorers on the AMC 12 were invited to participate in AIME. Since 2020, the AIME floor has been set to a higher percentage of scores, likely to ensure that a consistent number of students qualify for AIME each year, rather than a fixed percentage. Usually, 6000-7000 competitors from the AMC 10 and 12 qualify for the AIME.
Honor Roll (also known as Distinction since 2020): Awarded to the top 5% of scorers on each AMC 8, 10 and 12 respectively.
Distinguished Honor Roll: Awarded to top 1% of scorers on each AMC 8, 10 and 12 respectively.
Achievement Roll: Awarded to students in 6th or younger who score 15 points or higher on the AMC 8. Awarded to students in 8th or younger who score 90 points or higher on the AMC 10. Awarded to students in 10th grade or younger who score 90 points or higher on the AMC 12.
2024
AMC 10A
Do not believe any statistics; the test details have not yet been confirmed.

Average Score:
AIME Floor:
Distinction:
Distinguished Honor Roll:
AMC 10B
Average Score:
AIME Floor:
Distinction:
Distinguished Honor Roll:
AMC 12A
Do not believe any statistics; the test details have not yet been confirmed.

Average Score:
AIME Floor:
Distinction:
Distinguished Honor Roll:
AMC 12B
Do not believe any results yet, they have not been published officially

Average Score:
AIME Floor:
Distinction:
Distinguished Honor Roll:
AMC 8
Average Score: 10.75
Honor Roll: 20
Distinguished Honor Roll: 22
AIME I
Average score: 5.89
Median score: 5
USAMO cutoff: 245 (AMC 12A), 248 (AMC 12B)
USAJMO cutoff: 236 (AMC 10A), 232 (AMC 10B)
AIME II
Average score: 5.45
Median score: 5
USAMO cutoff: 220 (AMC 12A), 228 (AMC 12B)
USAJMO cutoff: 230 (AMC 10A), 220 (AMC 10B)
2023
AMC 10A
Average Score: 64.74
AIME Floor: 103.5 (top ~7%)
Distinction: 111
Distinguished Honor Roll: 136.5
AMC 10B
Average Score: 64.10
AIME Floor: 105 (top ~6%)
Distinction: 112.5
Distinguished Honor Roll: 135
AMC 12A
Average Score: 61.56
AIME Floor: 85.5 (top ~16%)
Distinction: 112.5
Distinguished Honor Roll: 136.5
AMC 12B
Average Score: 61.5
AIME Floor: 88.5 (top ~16%)
Distinction: 115.5
Distinguished Honor Roll: 139.5
AIME I
Average score: 4.28
Median score: 5
USAMO cutoff: 223 (AMC 12A), 227 (AMC 12B)
USAJMO cutoff: 194 (AMC 10A), 190.5 (AMC 10B)
AIME II
Average score: 4.41
Median score: 4
USAMO cutoff: 214.5 (AMC 12A), 226 (AMC 12B)
USAJMO cutoff: 188 (AMC 10A), 180 (AMC 10B)
2022
AMC 10A
Average Score: 58.33
AIME Floor: 93 (top ~8%)
Distinction: 99
Distinguished Honor Roll: 121.5
AMC 10B
Average Score: 57.91
AIME Floor: 94.5 (top ~8%)
Distinction: 100.5
Distinguished Honor Roll: 114
AMC 12A
Average score:
AIME floor: 85.5 (top ~13%)
Distinction: 106.5
Distinguished Honor Roll: 126
AMC 12B
Average score:
AIME floor: 81 (top ~15%)
Distinction: 105
Distinguished Honor Roll: 129
AMC 8
Average score: 9.74
Honor Roll: 19
Distinguished Honor Roll: 22
AIME I
Average score: 4.8283
Median score: 4
USAMO cutoff: 222 (AMC 12A), 227.5 (AMC 12B)
USAJMO cutoff: 203.5 (AMC 10A), 190.5 (AMC 10B)
AIME II
Average score:
Median score:
USAMO cutoff: 208.5 (AMC 12A), 203 (AMC 12B)
USAJMO cutoff: 196.5 (AMC 10A), 182 (AMC 10B)
2021 Fall
AMC 10A (Wednesday, November 10)
Average score: 59.63
AIME floor: 96 (top 6.16%)
Distinction: 100.5
Distinguished Honor Roll: 117
AMC 10B (Tuesday, November 16)
Average score: 56.57
AIME floor: 96 (top 6.25%)
Distinction: 100.5
Distinguished Honor Roll: 120
AMC 12A (Wednesday, November 10)
Average score: 63.65
AIME floor: 91.5 (top 12.62%)
Distinction: 111
Distinguished Honor Roll: 130.5
AMC 12B (Tuesday, November 16)
Average score: 57.37
AIME floor: 84 (top 11.86%)
Distinction: 103.5
Distinguished Honor Roll: 130.5
Schedule Change
In April 2021, MAA announced they would be moving the AMC 10/12 to November, before the new year, and AMC 8 to January, after the new year; however, the AIME would remain after the new year. Thus there are two "2021 AMC 10/12s", no "2021 AMC 8", and one “2021 AIME”.

2021 Spring
AMC 10A (Thursday, February 4)
Average score: 65.53
AIME floor: 103.5
Distinction: 112.5
Distinguished Honor Roll: 132
AMC 10B (Wednesday, February 10)
Average score: 62.31
AIME floor: 102
Distinction: 108
Distinguished Honor Roll: 126
AMC 12A (Thursday, February 4)
Average score: 67.42
AIME floor: 93
Distinction: 114
Distinguished Honor Roll: 133.5
AMC 12B (Wednesday, February 10)
Average score: 61.55
AIME floor: 91.5
Distinction: 109.5
Distinguished Honor Roll: 132
AIME I (Wednesday, March 10)
Average score: 5.44
Median score: 5
USAMO cutoff: 229.5 (AMC 12A), 231.5 (AMC 12B)
USAJMO cutoff: 217 (AMC 10A), 213 (AMC 10B)
AIME II (Thursday, March 18)
Average score: 5.42
Median score: 5
USAMO cutoff: 238 (AMC 12A), 238 (AMC 12B)
USAJMO cutoff: 223 (AMC 10A), 214.5 (AMC 10B)
2020
AMC 10A
Average score: 64.29
AIME floor: 103.5
Distinction: 105
Distinguished Honor Roll: 124.5
AMC 10B
Average score: 61.22
AIME floor: 102
Distinction: 103.5
Distinguished Honor Roll: 120
AMC 12A
Average score: 61.42
AIME floor: 87
Distinction: 100.5
Distinguished Honor Roll: 123
AMC 12B
Average score: 60.47
AIME floor: 87
Distinction: 97.5
Distinguished Honor Roll: 120
AIME I
Average score: 5.69
Median score: 6
USAMO cutoff: 233.5 (AMC 12A), 235 (AMC 12B)
USAJMO cutoff: 229.5 (AMC 10A), 230 (AMC 10B)
AIME
Due to COVID-19, the 2020 AIME II was administered online and referred to as the AOIME.

Average score: 6.13
Median score: 6
USAMO cutoff: 234 (AMC 12A), 234.5 (AMC 12B)
USAJMO cutoff: 233.5 (AMC 10A), 229.5 (AMC 10B)
AMC 8
Average score: 10.00
Honor Roll: 18
DHR: 21
2019
AMC 10A
Average score: 51.66
Honor roll: 96
AIME floor: 103.5
DHR: 123
AMC 10B
Average score: 58.42
Honor roll: 102
AIME floor: 108
Distinguished Honor Roll: 121.5
AMC 12A
Average score: 49.22
AIME floor: 84
DHR: 121.5
AMC 12B
Average score: 56.73
AIME floor: 94.5
DHR: 123
AIME I
Average score: 5.88
Median score: 6
USAMO cutoff: 220 (AMC 12A), 230.5 (AMC 12B)
USAJMO cutoff: 209.5 (AMC 10A), 216 (AMC 10B)
AIME II
Average score: 6.47
Median score: 6
USAMO cutoff: 230.5 (AMC 12A), 236 (AMC 12B)
USAJMO cutoff: 216.5 (AMC 10A), 220.5 (AMC 10B)
AMC 8
Average score: 9.43
Honor roll: 19
DHR: 23
2018
AMC 10A
Average score: 53.84
Honor roll: 100.5
AIME floor: 111
DHR: 127.5
AMC 10B
Average score: 57.81
Honor roll: 97.5
AIME floor: 108
DHR: 123
AMC 12A
Average score: 56.36
AIME floor: 93
DHR: 120
AMC 12B
Average score: 57.85
AIME floor: 99
DHR: 126
AIME I
Average score: 5.09
Median score: 5
USAMO cutoff: 215 (AMC 12A), 235 (AMC 12B)
USAJMO cutoff: 222 (AMC 10A), 212 (AMC 10B)
AIME II
Average score: 5.48
Median score: 5
USAMO cutoff: 216 (AMC 12A), 230.5 (AMC 12B)
USAJMO cutoff: 222 (AMC 10A), 212 (AMC 10B)
AMC 8
Average score: 8.51
Honor roll: 15
DHR: 19
2017
AMC 10A
AIME floor: 112.5
DHR: 127.5
HR: 112.5
Mean: 59.33
Median: 55.5
AMC 10B
AIME floor: 120
DHR: 136.5
HR: 126.66666
Mean: 66.56
Median: 61.5
AMC 12A
AIME floor: 96
DHR: 115.5
HR: 96
Mean: 57.0
Median: 52.5
AMC 12B
AIME floor: 100
DHR: 129
HR: 100.5
Mean: 58.35
Median: 54
AIME I
USAMO floor: 225.5 (AMC 12A), 235 (AMC 12B)
USAJMO floor: 224.5 (AMC 10A), 233 (AMC 10B)
Mean: 5.69
Median: 5
AIME II
USAMO floor: 221 (AMC 12A), 230.5 (AMC 12B)
USAJMO floor: 219 (AMC 10A), 225 (AMC 10B)
Mean: 5.64
Median: 5
USAJMO
Participants: 208
USAMO
Participants: 280
AMC 8
Average Score: 8.96

Honor Roll: 17

DHR: 20

2016
AMC 10A
Average score: 65.31
AIME floor: 110
DHR: 120
AMC 10B
Average score: 65.40
AIME floor: 110
DHR: 124.5
AMC 12A
Average score: 60.32
AIME floor: 93
DHR: 111
AMC 12B
Average score: 68.65
AIME floor: 100.5
DHR: 127.5
AIME I
Average score: 5.83
Median score: 6
USAMO cutoff: 220
USAJMO cutoff: 210.5
AIME II
Average score: 4.43
Median score: 4
USAMO cutoff: 205
USAJMO cutoff: 200
AMC 8
Average score: 9.36
Honor roll: 18
DHR: 22
2015
AMC 10A
Average score: 73.39
AIME floor: 106.5
DHR: 115.5
AMC 10B
Average score: 76.09
AIME floor: 120
DHR: 132
AMC 12A
Average score: 69.90
AIME floor: 99
DHR: 117
AMC 12B
Average score: 66.88
AIME floor: 100.5
DHR: 126
AIME I
Average score: 5.29
Median score: 5
USAMO cutoff: 219.0
USAJMO cutoff: 213.0
AIME II
Average score: 6.63
Median score: 6
USAMO cutoff: 229.0
USAJMO cutoff: 223.5
AMC 8
Average score: 8.55
Honor roll: 16
DHR: 21
2014
AMC 10A
Average score: 63.34
AIME floor: 120
DHR: 132
AMC 10B
Average score: 71.42
AIME floor: 120
DHR: 132
AMC 12A
Average score: 63.60
AIME floor: 93
DHR: 109.5
AMC 12B
Average score: 68.12
AIME floor: 100.5
DHR: 121.5
AIME I
Average score: 4.88
Median score: 5
USAMO cutoff: 211.5
USAJMO cutoff: 211
AIME II
Average score: 5.49
Median score: 5
USAMO cutoff: 211.5
USAJMO cutoff: 211
AMC 8
Average score: 11.43
Honor roll: 19
DHR: 23
2013
AMC 10A
Average score: 72.50
AIME floor: 108
DHR: 117
AMC 10B
Average score: 72.62
AIME floor: 120
DHR: 129
AMC 12A
Average score: 65.06
AIME floor: 88.5
DHR: 106.5
AMC 12B
Average score: 64.21
AIME floor: 93
DHR: 108
AIME I
Average score: 4.69
Median score: 4
USAMO cutoff: 209
USAJMO cutoff: 210.5
AIME II
Average score: 6.56
Median score: 6
USAMO cutoff: 209
USAJMO cutoff: 210.5
AMC 8
Average score: 10.69
Honor roll: 18
DHR: 22
2012
AMC 10A
Average score: 72.51
AIME floor: 115.5
DHR: 121.5
AMC 10B
Average score: 76.59
AIME floor: 120
DHR: 133.5
AMC 12A
Average score: 64.62
AIME floor: 94.5
DHR: 109.5
AMC 12B
Average score: 70.08
AIME floor: 99
DHR: 114
AIME I
Average score: 5.13
Median score: 5
USAMO cutoff: 204.5
USAJMO cutoff: 204
AIME II
Average score: 4.94
Median score: 5
USAMO cutoff: 204.5
USAJMO cutoff: 204
AMC 8
Average score: 10.67
Honor roll: 18
DHR: 22
2011
AMC 10A
AIME floor: 117
DHR: 129
HR: 117
Mean: 64.24
AMC 10B
AIME floor: 117
DHR: 133.5
HR: 117
Mean: 71.78
AMC 12A
AIME floor: 93
DHR: 112.5
HR: 92
Mean: 65.38
AMC 12B
AIME floor: 97.5
DHR: 121.5
HR: 92
Mean: 64.71
AIME I
USAMO floor: 188
USAJMO floor: 179
Mean: 2.23
Median: 2
AIME II
USAMO floor: 215.5
USAJMO floor: 196.5
Mean: 5.47
Median: 5
USAJMO
Participants: 222
USAMO
Participants: 282
AMC 8
DHR: 22
HR: 17
Mean: 10.75
2010
AMC 10A
AIME floor: 118.5
AIME qualifiers: 960 (1.5%)
DHR: 121.5
HR: 118.5
Mean: 70.8
AMC 10B
AIME floor: 118.5
AIME qualifiers: 770 (2.0%)
DHR: 124.5
HR: 118.5
Mean: 68.3
AMC 12A
AIME floor: 88.5
AIME qualifiers: 4874 (7.1%)
DHR: 108
HR: 88.5
Mean: 62.5
AMC 12B
AIME floor: 88.5
AIME qualifiers: 3270 (8.0%)
DHR: 108
HR: 88.5
Mean: 59.8
AIME I
Mean: 4.12
Median: 3
Participants: 3618
AIME II
Mean: 5.91
Median: 6
Participants: 2904
USAJMO
USAJMO floor: 188.5 Index or 11 AIME
Participants: 235
USAMO
USAMO floor: 208.5 (204.5 for non juniors and seniors)
Participants: 328
AMC 8
DHR: 22
HR: 17
Mean: 9.59
2009
AMC 10A
AIME floor: 120
AIME qualifiers: 3045 (4.2%)
DHR: 133.5
HR: 120
Mean: 70.4
AMC 10B
AIME floor: 120
AIME qualifiers: 2365 (7.5%)
DHR: 141
HR: 124.5
Mean: 74.4
AMC 12A
AIME floor: 97.5
AIME qualifiers: 5614 (6.7%)
DHR: 117
HR: 100.5
Mean: 68.0
AMC 12B
AIME floor: 100
AIME qualifiers: 3723 (10.8%)
DHR: 124.5
HR: 108
Mean: 71.7
AIME I
Mean: 4.17
Median: 4
AIME II
Mean: 3.27
Median: 3
USAMO
USAMO floor: 201 Index or (7 AIME and 215 Index)
Participants: 514
AMC 8
DHR: 20
HR: 17
Mean: 10.28
2008
AMC 10A
AIME floor: 117
AIME qualifiers: 1765 (2.6%)
DHR: 127.5
HR: 100.5
Mean: 58.1
AMC 10B
AIME floor: 120
AIME qualifiers: 933 (2.7%)
DHR: 127.5
HR: 100.5
Mean: 66.6
AMC 12A
AIME floor: 97.5
AIME qualifiers: 5183 (6.5%)
DHR: 120
HR: 97.5
Mean: 65.6
AMC 12B
AIME floor: 97.5
AIME qualifiers: 3367 (8.1%)
DHR: 120
HR: 97.5
Mean: 68.9
AIME I
Mean: 4.77
Median: 4
AIME II
Mean: 5.27
Median: 5
USAMO
USAMO floor: 204 (215 Index with 7 AIME for non juniors and seniors)
Participants: 503
AMC 8
DHR: 22
HR: 19
Mean: 11.45. find the mean, median, mode and range of the aime floors for the amc 12