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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 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.


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