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Summary Statistics

  • Lyrics copyright by Sheila O'Leary Weaver
    may sing to the tune of "I Will Survive" (Gloria Gaynor)

    At first I was afraid; I was petrified.
    I just hadn't realized my data was skewed to one side.
    And now I'd spent so many hours finding the mean and the SD,
    But now I see, just how misleading they can be.

    So now I'll go; walk out the door.
    I'll get an F in here; I may not stay in college anymore.
    I should have dropped this stupid class; I should have bought the answer key.
    I should have thought for just one second, office hours were for me.

    But no, I'll try, a new technique.
    I'll rank the data, and the middle is the median I seek.
    The middles of the halves are called the Quartiles 1 and 3,
    Add the min and max - that's the five number summary.

    Stat 51, I will survive
    As long as I can pass this class, I know I'll be alive,
    I've got all my life to live,
    One semester's time to give:
    I will survive, I will survive,
    Hey, Hey....

    Dance Interlude

    To put it in a graph, I'll draw a number line.
    Make spacing even or interpretation's undermined.
    Draw vertical lines at each number and connect the middle three,
    And a boxplot will result to show the lack of symmetry.

    And now I'll find the IQR.
    It's Q3 minus Q1. If it's big, the data spreads out far.
    If a number's more than 1.5 IQR from the box,
    It gets a star, and you can call it an outlier.

    And now I'm done. My summary,
    Is more appropriate for data that is lacking symmetry
    The mean and the SD may be affected by the skew.
    But my way's strong: It's more robust and it's not wrong....

    Stat 51, I will survive
    As long as I can pass this class, I know I'll be alive,
    I've got all my life to live,
    One semester's time to give:
    I will survive, I will survive,
    Hey, Hey....

    More Dancing

  • Lyrics copyright Al G. Bra from his album "Old-Time Radical"
    Music: Superstition (Stevie Wonder)

    Very statistitious, bell curve on the wall,
    Very statistitious, so empirical,
    Normal distribution, centered 'round the mean
    Standard deviations, most fall within three

    When they deceive with things that you don't understand
    Distort the numbers
    Statistitions lie all day

    Very statistitious, probability
    Mind your p's and q's, they're complementary
    Median or mean, central tendency
    Make a distribution, show the frequency

    So you'll believe in things that you don't understand
    They twist the numbers
    Statistitions fabricate

    (Scream) MUUUUUUUUUUUUU...

    Very statistitious, show significance
    With an estimation, know your confidence
    Gettin' inferential, hypothesis test
    Linear regression, the line that fits the best

    When they deceive with things that you don't understand
    Invent the numbers
    Statistitions know the way

  • Lyric copyright by Dennis Pearl
    may sing to the tune of "Hit the Road Jack" (Percy Mayfield/Ray Charles)
    (italicized words are sung by male soloist. Remaining words sung by female singers.)

    Pick the mode Jack and don't you keep track of no mu, no mu, no mu, no mu.
    Pick the mode Jack and don't you keep track of no mu.
    What you say?
    Pick the mode Jack and don't you keep track of no mu, no mu, no mu, no mu.
    Pick the mode Jack and don't you keep track of no mu.

    Woah Woman, oh woman, won't ya give me my mean,
    You're the meanest old woman that I've ever seen.
    I guess if you say so
    I'll have to take x-bar and go.
    (That's right)

    Pick the mode Jack and don't you keep track of no mu, no mu, no mu, no mu.
    Pick the mode Jack and don't you keep track of no mu.
    What you say?
    Pick the mode Jack and don't you keep track of no mu, no mu, no mu, no mu.
    Pick the mode Jack and don't you keep track of no mu.

    Well baby, listen baby, don't ya treat me this-a way
    It's just a summary stat to say.

    Don't care what you say 'cause it's understood
    You ain't got no data for my likelihood.
    Well, I guess if you say so
    I'll have to take x-bar and go.
    (That's right)

    Pick the mode Jack and don't you keep track of no mu, no mu, no mu, no mu.
    Pick the mode Jack and don't you keep track of no mu.
    What you say?
    Pick the mode Jack and don't you keep track of no mu, no mu, no mu, no mu.
    Pick the mode Jack and don't you keep track of no mu.

    Well!!
    Don't you keep track of no mu.
    Uhh what did you say?
    Don't you keep track of no mu.
    I did not understand it
    Don't you keep track of no mu.
    I came to talk it over
    Don't you keep track of no mu.
    I thought we had a better understanding
    Don't you keep track of no mu.
    Oh baby don't be so common
    Don't you keep track of no mu.
    Don't you want a hat on pi? x2
    Don't you keep track of no mu.
    Oh baby it isn't fair
    Ooh yeahh

  • Lyric and music copyright by Carla Ulbrich

    I got a totally average woman stands about 5'3"
    I got a totally average woman she weighs about 153
    Yeah she's a mean, mean woman by that I mean
    statistically mean
    Y'know average

    When she walks down the street some people notice some don't
    When she walks down the street some people notice
    But in general most people won't
    Some guys will whistle just as many won't

    She takes all my money invests it in a mutual fund
    She takes all my money invests it in a diversified dividend-producing mutual fund
    We'll probably retire in a style to which we are accustomed

    Make a blind man hear
    Make a deaf man see
    She could have any guy who is no better or worse than me

    I got a totally average woman got an IQ of 103
    She's a mean, mean woman statistically

    Every night she beats me Lord she beats me so bad
    Every night she beats me Lord
    You wouldn't believe how she beats me so bad
    She is the toughest scrabble partner that I have ever had

    I asked her for some water she said ice or no ice?
    I asked her for some water and she said,
    "do you want a cup or a glass and ice or no ice?"
    Then she brought it to me ... that was nice

    She can let a sleeping dog lie
    Send a dead man to his grave
    When she was a young child she would usually behave

    I got a totally average woman she's about 5'3 point 7
    Yeah she's a mean, mean woman
    By that I mean statistically mean
    Y'know average
    Baby I would walk over room temperature coals for you

  • Lyric copyright ©2011 by Lawrence Mark Lesser.
    May sing to the tune of "Mean" (Taylor Swift)

    You.......with your words like mean & mode & symbols that you use against me.
    Mu........stands for a population mean and x bar for the sample.
    Who.....knows what symbol to use for other measures of data location.
    You......pickin' each time the mean.
    But it can get pulled off by just one single point,
    And you don't know what you don't know....

    CHORUS:
    Sometimes data have a real asymmetry
    Or values that are really quite extreme.
    In those cases, better use the median
    If the middle is what you need - that's not gonna be the mean!

    That won't be the mean with outliers, just forget it,
    Do you see just what I mean & mean & mean & mean? (repeat chorus)

  • Lyric © 9/8/2011 Lawrence M. Lesser
    may sing to the tune of the same-titled song by Suzanne Vega and Stephen Addabbo from the 1986 film Pretty in Pink

    If you want me, you can find me
    Left of center, down the long scale:
    In the skewness, down the left side,
    In the sparseness of the long tail.

    When they ask me "What shape describes your graph?",
    I always answer: "Left-skewed (left-skewed)."
    I think they know that my skew is negative;
    I think they think my mode is plain rude.

    But I'm only in the long tail of the density,
    Far away from the modal view--
    And if you want me, you can find me
    Left of center, wondering about μ,
    wondering about μ.....

  • Words & music © 2014-2015 Lawrence Mark Lesser

    She tries to "fix" me or she's silent all night;
    Neither's what I want, but on av'rage, it's all right.
    It's like my head's in an oven and my feet in a block of ice:
    The temperature on av'rage is one that would suffice!
    At my center, a funny valentine
    Says.... "on av'rage, I'm fine!"

    I can be so left-brained and hardly feel my heart;
    I can be so right-brained and be taken off guard.
    The sides of my brain never align
    But on av'rage, I'm fine!

    BRIDGE: Average manages to only go so far--
    Gotta know my range when I play a mean guitar!

    I have a broken heart and ache in my soul,
    But have a brand new car and a million-dollar home.
    I'm poor in spirit, but I can buy good wine....
    On av'rage, I'm fine!

    Half of you love this tune and say it's worth a prize;
    The rest find it worthless and something to despise!
    Some give ovations, some let tomatoes fly:
    Guess on average.... it's fine!

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