040- SingAlong: "Like a Bell"
Post date: Dec 24, 2015 1:34:16 PM
SING-ALONG 05
Math-Tans present....
"Like a Bell (Canonical), in Stats"
(*aka "Pachelbel's Canon in D")
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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 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
e, as base declared (as base declared)
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:
"Polar Plot"; "O Factor Tree" ; "A Squared Song" ; "Decimal"
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