How rare is IQ 130?
On the SD 15 scale, about 1 in 44 scores are this high or higher. The score is higher than 97.7 percent of scores.
That rank places 130 near the upper end of the distribution. It is a comparison with a test's reference group, not a description of how someone performs in every setting. The IQ percentile calculator can show ranks for other scores.
How close is 130 to Mensa's requirement?
IQ 130 sits just below the point where the top 2 percent begins on the SD 15 scale. Our calculation from the normal curve places that point at 130.8.
Mensa states its requirement as the top 2 percent, with qualifying scores of 132 on Stanford-Binet and 148 on Cattell. Its Mensa requirement page gives those scale-specific figures.
Why can 130 have a different rank on another test?
The same score value can mark different positions when tests use different standard deviations. At the same relative position as 130 on SD 15, the figures are 132 on SD 16 and 148 on SD 24.
This is why a score needs its test scale for a rank comparison. A score of 130 on SD 16 is not automatically equivalent in rank to 130 on SD 15. The IQ standard deviation page explains this comparison.