This QA’s answers along with the DMG say that you calculate the CR for a monster based on its stats but the examples given seem to expect that all the stats line up with one another. For example, a creature at CR 10 should have a +4 prof bonus, 17 AC, 206-220 HP, +7 to hit with attacks, a save DC of 16 and do between 63-68 DPR. But if you use the table to calculate offensive and defensive CR and the results are all over the table (such as this example character) how would you turn those stats into a CR?
Some relevant stats and CR values from the table
+5 prof = CR 13-16
119 HP = CR 4
18 AC = CR 13-16
Attack bonus of +11 for main weapon = CR 21-23
Attack bonus of +10 for off hand weapon = 17-20
69 average DPR = CR 11
The DMG from what I could see also doesn’t include how attack riders such as knocking the target prone might affect CR which to me seems as though it should be considered.