Statistics - Interpolation

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  1. toblerone93's Avatar
    • Adored and Respected Member
    • Location: Manchester
    • Posts: 544
    Statistics - Interpolation
    I think this is the right place to post an AS Statistics question?

    Hi,

    Interpolation wasn't explained to me at all by my teacher, he just expects us to know :confused:

    Anyway, could someone please "use interpolation to find an estimate for the median wage"?

    Its from this table:



    If it were possible, could you give a step by step method?

    I know I'm asking so much, but I would literally love you forever...

    If you can't be bothered to do it, maybe a few hints.

    Thanks everyone
  2. Coursework.info's Avatar
    • Retired TSR Help Bot
    • Location: That galaxy over there
    Statistics - Interpolation
    It's been a while since you posted and nobody's replied yet...maybe you should check out MarkedbyTeachers.com, TSR's sister site. It has the largest library of essays in the UK.

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  3. markmat's Avatar
    • Full Member
    • Location: Israel
    • Posts: 111
    Re: Statistics - Interpolation
    It looks like the easiest way to tackle the question is by considering the cumulative distribution function (CDF). Then the given data would read: CDF(174) = 0, CDF(225)=4/65, CDF(300)=(4+8)/65, etc. Now you need to interpolate CDF and then find it's inverse from 0.5

    Good luck
  4. markmat's Avatar
    • Full Member
    • Location: Israel
    • Posts: 111
    Re: Statistics - Interpolation
    Now I have a better idea: lets denote by f the inverse of the CDF, then the given data is f(0)=174, f(4/65)=225, f(12/65)=300, etc. Now interpolate and calculate f(0.5).
  5. toblerone93's Avatar
    • Adored and Respected Member
    • Location: Manchester
    • Posts: 544
    Re: Statistics - Interpolation
    (Original post by markmat)
    Now I have a better idea: lets denote by f the inverse of the CDF, then the given data is f(0)=174, f(4/65)=225, f(12/65)=300, etc. Now interpolate and calculate f(0.5).
    Cheers!

    Give you rep tomorrow
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