How many people reach 115?
In a room of a hundred adults tested on a modern scale, about sixteen would score 115 or higher: 15.9 percent, or 1 in 6.3. That is common enough that most schools and offices hold several such people, yet uncommon enough to stand out in a small group.
The other side of the same figure: 84.1 percent of scores fall at 115 or lower. Both numbers come from the normal curve that modern tests are scaled to, not from a count of real people.
Why 115 marks the edge of the middle
Modern tests set one standard deviation to 15 points, so 115 is exactly one such unit over 100. Between 85 and 115 lies the bulk of the population, 68.3 percent, which is why 115 is often treated as the upper edge of the typical range.
Older scales stretch the numbers further. The same rank reads as 116 where the spread is 16 points and as 124 where it is 24, so check which test produced a score before comparing it. The standard deviation guide shows the conversion.
Between 110 and 120
115 sits in the middle of the High Average band, which covers 110 to 119. Five points lower, IQ 110 starts the band; five points higher, IQ 120 opens the next one, Very High.
Because any single test has a margin, a measured 115 could land a few points on either side on another day. A score this close to the centre of its band usually keeps the same label on a retest, which is not true of scores right at a band line.