The geometric mean of n numbers is the nth root of the product of the numbers. Will the geometric mean of all yes/no bids on this question exceed 11? Market closes on July 4th at noon eastern time.
Update 2025-05-20 (PST) (AI summary of creator comment): The creator confirms that 'invested' amounts are used for bid valuation. Positive 'invested' amounts, even if very small (e.g., resulting from buying and selling activity), will be included in the geometric mean calculation with their actual value and will not be treated as zero.
Update 2025-05-20 (PST) (AI summary of creator comment): The 'invested' amounts for calculating the geometric mean will be sourced from the 'invested' field at the API endpoint:
https://api.manifold.markets/v0/market/u0AZLc0UCI/positions.
Update 2025-05-21 (PST) (AI summary of creator comment): The creator has stated their belief that negative 'invested' values are not possible from the specified API data source (https://api.manifold.markets/v0/market/u0AZLc0UCI/positions). The geometric mean calculation will use 'invested' values as sourced, with the expectation that these values will be positive and thus suitable for the geometric mean, and with positive 'invested' amounts handled as per previous clarifications.
Update 2025-07-04 (PST) (AI summary of creator comment): The creator has clarified that if any user has an invested amount of 0, the geometric mean will be calculated as 0.
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https://api.manifold.markets/v0/market/u0AZLc0UCI/positions
Find data here ("invested")
@121 There are negative invested values. Are you going to resolve this by taking the nth root of the absolute value of the product instead, and how will you resolve it if not? (screenshot below, from the API link)
@121 So what counts is the API data, not what is being displayed in the graphical Manifold clients, correct?