Please help me (earning ratio-boxplot)

  1. The main aim of this question is to assess the ability to perform data analysis on two batches of data and use decile box-plots to compare and report on the differences between the two sets.

    The weekly earnings (including overtime) and the hourly earnings (including overtime) of male
    and female restaurant staff who are working full time are given in the table below,


    Gross weekly and hourly earnings of male and female restaurant staff in 1999




    Gross weekly earnings Gross hourly earnings
    (£) (Pence)
    Women Men Women Men
    Highest decile 235 275 556 641
    Upper quartile 192 230 477 513
    Median 163 183 402 434
    Lower quartile 138 151 363 389
    Lowest deciles 122 128 349 360





    (a) Which of these two types of data would you use to compare the earnings of male and female restaurant staff? Give a brief justification for your choice. [3]





    (b) Calculate the earnings ratios for the restaurant staff at the median, the upper and lower quartiles, and the highest and lowest deciles. Comment on what these figures tell you about the relative earnings of male and female restaurant
    staff in 1999. [4]






    (c) If data were available on gross earnings (excluding overtime) for male and female
    restaurant staff, would you expect the earnings ratios calculated using such data to be
    greater or smaller than those you calculated in (b)? Explain your answer briefly. [2 ]







    (d) Draw clear and accurate decile box-plots (as described in Unit 3) to represent the earnings
    data for male and female restaurant staff. What do the box- plots tell you about the
    relative earnings of male and female restaurant staff in 1999 ? [3]
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
    Last edited: Apr 26, 2008
  2. jcsd
  3. Tom Mattson

    Tom Mattson 5,538
    Staff Emeritus
    Science Advisor
    Gold Member

    You need to show some work first.
     
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