Statistics - Interpolation

Announcements Posted on
    • Thread Starter
    Offline

    2
    ReputationRep:
    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
    Offline

    0
    ReputationRep:
    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
    Offline

    0
    ReputationRep:
    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).
    • Thread Starter
    Offline

    2
    ReputationRep:
    (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
 
 
 
Write a reply… Reply
Submit reply

Register

Thanks for posting! You just need to create an account in order to submit the post
  1. this can't be left blank
    that username has been taken, please choose another Forgotten your password?
  2. this can't be left blank
    this email is already registered. Forgotten your password?
  3. this can't be left blank

    6 characters or longer with both numbers and letters is safer

  4. this can't be left empty
    your full birthday is required
  1. Oops, you need to agree to our Ts&Cs to register
  2. Slide to join now Processing…

Updated: October 3, 2009
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

Today on TSR
Poll
Do you think you'll achieve your predicted A Level grades?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read here first

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups
Study resources

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Quick reply
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.