May 16, 2021

9 min read

Ranking Rarity: Understanding Rarity Calculation Methods

The Problem

Bored Ape Yacht Club #73’s Properties
Bored Ape Yacht Club #9941’s Properties .. is he rarer than #73 above?
We’ll compare the above 2 apes with #9542 here

Trait Rarity Ranking

  • Ape #73 s rarest trait is Sold Gold Fur which 0.46% have
  • Ape #9941's rarest trait is Bored Unshaven Dagger which 0.28% have
  • Ape #9542’s rarest trait is Bored Unshaven Pizza which 0.26% have
Sorted by Trait Rarity
Example Collection A NFTs

Average Trait Rarity

  • Ape #73’s average trait rarity is 4.05%
  • Ape #9941’s average trait rarity is 6.056%
  • Ape #9542’s average trait rarity is 6.452%
Average Trait Rarity Ranking
Example Collection A: Average trait rarity is calculated and listed at the rightmost column.
Example Collection B: A collection that has 10 NFTs
Example Collection B: With trait rarity percentages listed.
Example Collection B: With Average Trait Rarity on rightmost column.

Statistical Rarity

What the calculation looks like in Excel
  • Ape #73’s statistical rarity is 0.00000000070744%
  • Ape #9941’s statistical rarity is 0.00000056965722%
  • Ape #9542’s statistical rarity is 0.00000044983967%
Statistical Rarity Ranking
Sorted by Trait Rarity
Sorted by Average Trait Rarity
Sorted by Statistical Rarity

Statistical Rarity vs. Example Collection A and B

Example Collection A: With Statistical Rarity
Example Collection B
Example Collection B: With Statistical Rarity

Rarity Score: How is it Calculated?

Rarity Score vs. Example Collection A and B

Example Collection A: Rarity Score for each Trait Value and Total Rarity Score for each NFT ID

Summary

What’s Next?