Numbers are really interesting. Even usual numbers have extraordinary properties. For example, a year has 365 days. This number can be written as the sum of three consecutive squares: 365 = 10² + 11² + 12². It can also be written as the sum of the next two squares: 365 = 13² + 14².

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Numbers x and y sit end to end under a semicircle and instantly rank their four classic averages by length. The tallest vertical is the arithmetic mean (x + y)/2. The vertical at their meeting point is the geometric mean √(xy). The long slant from the center top is the quadratic mean √((x² + y²)/2). The shortest vertical is the harmonic mean 2xy/(x + y). These lengths always obey QM ≥ AM ≥ GM ≥ HM, and the triangle drawn around the small circle has area xy. Electricians size household AC wiring with the quadratic mean because it gives the effective voltage that produces the same heating as a steady DC current.

Numbers rarely sit exactly at their average - the standard deviation formula shows the typical distance they stray from it. Population: σ = √[∑(xᵢ − μ)² / N] xᵢ = elements in population μ = population mean N = population size Sample: s = √[∑(xᵢ − x̄)² / (n − 1)] xᵢ = elements in sample x̄ = sample mean n = sample size The sample version is applied by bank risk analysts to measure day-to-day swings in currency exchange rates.

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Numbers against the Warriors 📊 Green: 36 PTS, 6 REB, 4 AST, 8 3PM, 3 BLK, 2 STL Booker: 20 PTS, 8 AST, 6 REB, 1 STL Goodwin: 19 PTS, 9 REB, 2 AST, 4 3PM, 6 STL Brooks: 13 PTS, 4 AST, 1 REB, O'Neale: 11 PTS, 2 REB, 1 AST Ighodaro: 10 PTS, 6 REB, 1 AST, 1 STL, 1 BLK