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### 040- SingAlong: "Like a Bell"

posted Dec 24, 2015, 5:34 AM by Gregory Taylor   [ updated Dec 24, 2015, 5:36 AM ]
 SING-ALONG 05Math-Tans  present...."Like a Bell (Canonical), in Stats"     (*aka "Pachelbel's Canon in D")--------     VIDEO OF THIS: YouTube Here     Piano Guys Rock Canon: YouTube Here     Comedy Rant about Pachelbel: YouTube Here(Bar 1: Bass Line Throughout)Distribution, Bell curve nickname.Distribution, Gaussian fame.Distribution, Bell curve nickname.Distribution, Gaussian fame.(Bar 5: Entry)Normal curve here, Symmetry’s clear.Normal curve here, Symmetry’s clear.(Bar 13:)Calculate the mean, that’s mu,And variance, that’s sigma squared, too.Calculate the mean, that’s mu,And variance, that’s sigma squared, too.(Bar 21:)Now here’s the z-score. How far we’ll be,In standard deviations from the centre with symmetry.Now here’s the z-score. How far we’ll be,In standard deviations from the centre with symmetry.Range for z-scores: Three left, three right.Subtract the mean, divide by sigma,Standardizing’s insight.Range for z-scores: Three left, three right.Subtract the mean, divide by sigma,Standardizing’s insight.(Bar 37: Familiar Melody)Sixty Eight PercentIf data’s one z-score out,Ninety Five PercentIf data’s two z-scores out,Nine-Nine Point Seven,For data three z-scores out,Leads to percentilesOf that there can be no doubt!Sixty Eight PercentIf data’s one z-score out,Ninety Five PercentIf data’s two z-scores out,Nine-Nine Point Seven,For data three z-scores out,Leads to percentilesOf that there can be no doubt!(Repeats as often as you like)(Somewhere after bar 50:)e, as base declared (as base declared)Needs minus point 5, x squaredAll divided by (divided by)Square root of two pie, as base declared (as base declared)Needs minus point 5, x squaredAll divided by (divided by)Square root of two pi(Inexplicably at the end:)Normal curve here, Symmetry’s clear.Normal curve here, Symmetry’s oh so clear.Previous XMas Specials:  "Polar Plot"; "O Factor Tree" ; "A Squared Song" ; "Decimal"You can Go Here to comment