Latin honors U.C.L.A. seems to be fairly predictable:
So let’s look at an estimate of things by percentile for L&S:
99th Percentile, 4.000 (I would imagine there would be a decent number of these.)
*95th Percentile, 3.956 (Summa floor)
*90th Percentile, 3.908 (Magna floor)
*80th Percentile 3.816 (Cum Laude floor)
75th Percentile, ~ 3.77
70th Percentile, ~ 3.72
65th Percentile, ~ 3.67
60th Percentile, ~ 3.63
55th Percentile, ~ 3.59
50th Percentile, ~ 3.55
The 3.50-3.75 gpas would be more plentiful than those from 3.76 and above. But though the median for L&S students would be ~ 3.55 the average would probably be ~ 3.45, because the upper half of the class would be tighter in grade distribution than the lower, which would bottom out at 2.20 or so.