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Post date: Apr 15, 2013 2:7:43 AM
PARAB SINGS 07
(y-k)2 - 4p(x-h) presents....
"Mean" (*aka "Mean", Taylor Swift)
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Mu:
X-Bar:
***
[Verse 1]
Mu. Take your sum, divide, and it's the average that you've found, again, say,
Mu. If data's equal weight, oh wait, got me worrying about that,
Mu. With outliers it fails to be central, skewing me up when I use it,
Mu. Picking it's no master plan.
Well, mu can bring us down,
If one data's too low.
So let me show you where we go...
[Chorus]
Sometimes, you'll see, median can be so pretty,
The middle, may not be the same as mean.
Sometimes, you'll see, frequency to mode's not tricky,
Most often, may not be the same as mean.
Why you gotta use the mean?
[Verse 2]
Mu. Distributions they, maybe be normal, yay, but we've no indication,
Mu. It may not be the centre, but still gives us standard deviation.
I'll make a histogram, get my bin width right, 'cause I'm worried about skew,
Why. Did average let me down again?
I'll bet you thought close enough, one value's no big deal.
But the mean moves to it now,
Past all the rest, oh how surreal,
So let me show you where we go...
[Chorus]
Sometimes, you'll see, median can be so pretty,
The middle, may not be the same as mean.
Sometimes, you'll see, frequency to mode's not tricky,
Most often, may not be the same as mean.
Why you gotta use the mean?
[Verse 3]
And if we compare aggregates as x bar, talking over what's best for you,
Break that down to many pieces and, the reverse could be true!
Guess what, you've stumbled, right into Simpson's Paradox.
Hope you know some weights or you'll be on the rocks.
Since all you use is mean.
Hope you know when mean...
Is a liar!
And pathetic!
And not weighted right,
And mean, it's mean,
that mean, I mean... That
[Chorus]
Sometimes, you'll see, median can be so pretty,
The middle, may not be the same as mean. Yeah!
Sometimes, you'll see, frequency to mode's not tricky,
Most often, may not be the same as mean.
Why you gotta use the mean?
Sometimes, you'll see, median can be so pretty,
(Why we gotta use the mean?)
The middle, may not be the same as mean.
(Why we gotta use the mean?)
Sometimes, you'll see, frequency to mode's not tricky,
(Why we gotta use the mean?)
Most often, may not be the same as mean.
Why we gotta use the mean?
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