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Apr2608, 05:14 AM

P: 7

The main aim of this question is to assess the ability to perform data analysis on two batches of data and use decile boxplots 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 boxplots (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 


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