Game SD Bands

Enter a side (spread) and total. See where the margin, the total and each team's score land at ±1.0, ±1.5 and ±2.0 standard deviations.
Side
Fav -5.5
Total
225.5
Projected Score
115.5 – 110.0
Fair Moneyline
-224 / +224
Win Prob
69.1% / 30.9%
SDs (Sprd / Tot / Team)
11.0 / 16.0 / 9.7 (scaled x1.001 from league avg total 225)

Margin — Fav minus Opp, mean +5.5, SD 11.0

BandCoverageLowHigh
±1.0 SD 68.3% Opp by 5.5 Fav by 16.5
±1.5 SD 86.6% Opp by 11.0 Fav by 22.0
±2.0 SD 95.4% Opp by 16.5 Fav by 27.5

Total — mean 225.5, SD 16.0

BandCoverageRange
±1.0 SD 68.3% 209.5 – 241.5
±1.5 SD 86.6% 201.5 – 249.5
±2.0 SD 95.4% 193.5 – 257.5

Team Scores — Fav mean 115.5, Opp mean 110.0, SD 9.7 each

BandCoverageFavOpp
±1.0 SD 68.3% 105.8 – 125.2 100.3 – 119.7
±1.5 SD 86.6% 100.9 – 130.1 95.4 – 124.6
±2.0 SD 95.4% 96.1 – 134.9 90.6 – 129.4
Model. Margin (favorite−underdog) ∼ Normal(mean = spread, SD = Spread SD); total ∼ Normal(mean = total, SD = Total SD); team score = (total ± margin)/2, so team SD = √(totalSD² + spreadSD²)/2. Same model and league SDs as the Spread & Total Pricer.
Coverage is the share of outcomes inside the band: ±1.0 SD ≈ 68.3%, ±1.5 SD ≈ 86.6%, ±2.0 SD ≈ 95.4%.
Total-aware SD (checkbox, on by default): both SDs are multiplied by √(total / league avg). A typed SD overrides everything (used flat).
League SD / avg-total anchors: NBA 11.0 / 16.0 @ 225 · WNBA 10.5 / 14.0 @ 162 · Men's CBB 10.0 / 12.5 @ 142 · Women's CBB 10.5 / 13.0 @ 140.
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