No, your strength is how far you can jump without making an athletics check.
And why would one have to make an athletics check for a running (or standing) long jump?
The rule itself is interesting in that it would have given my High School self different strength depending on whether it was standing, running, or high jump.
Each of which I could do 100% of the time, so it was not something that I "failed" at that age on a skill roll, or was incredibly lucky.
Running Long Jump generally was 22 feet, though sometimes I could get a tad longer. (22 STR)
Standing Long Jump normally was a little over 9 feet, barely. (18 STR) [Could occasionally jump further, but that was unpredictable on how far and when. 9 Feet was what I could always jump whenever tested, every time at that age].
High Jump was a wild card, so that probably always required a roll, being between 4-6 feet. (STR 12 to 14?).
If we go by the movement rules at least.
If we say it was a skill check, but one always suceeded on, then we'd use the idea of a +5 for advantage (afterall, no pressure, I knew what I was doing, and we could warm up before a meet), and the check itself would be probably at least a Hard from what I saw, maybe even very hard (not many could actually jump that far, but that was decades ago, maybe these skills are easier to do for kids these days).
By that metric, if it was hard that would a 20 passive check, +5 for advantage on it, so needing a 15 passive check for a 20 STR?
Or if it was 25, than it would need a 30 STR to suceed on that type of passive check.
So, going back the OP with the World record holder...
With those checks, with a 30 check roll for the world record set, there is no set thing for is STR on the record holder. We could assume he could regularly jump 27 feet with no problem everytime...so with a passive check, if we follow the ability score rules and give them a +5 for advantage...they'd have at least a 32 STR???
That is if we say it requires a check rather than use the movement rules, and acknowledge that there are distances that the running long jumper hits EVERY TIME...they aren't going to fail, even if you roll a 2, and they don't fail 5% of the time either.
Not sure that would work...so the STR = jumping distance probably works better as I'm still not clear why it would require a check when the rules stipulate that the running long jump distance = STR.