SING-ALONG 05 Math-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, 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:)  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. 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 Percent If data’s one z-score out, Ninety Five Percent If data’s two z-scores out, Nine-Nine Point Seven, For data three z-scores out, Leads to percentiles Of that there can be no doubt! Sixty Eight Percent If data’s one z-score out, Ninety Five Percent If data’s two z-scores out, Nine-Nine Point Seven, For data three z-scores out, Leads to percentiles Of 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 squared All divided by (divided by) Square root of two pi  Needs minus point 5, x squared All 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: You can Go Here to comment |
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