From two censuses of a population’s occupations, carried out in 2000 and 2010, the following
figures were obtained (all values are in ‘000s).
Out of 3720 males employed in non-manual occupations in 2000, 450 were employed in professional jobs, 1290 in administration, 500 were shop-keepers, 690 were clerical workers, 480 shop assistants and the remainder in personal services. Of the 3870 women employees in non-manual occupations in 2000, 40 were in professional jobs, 780 in administration, 160 were shop-keepers, 1090 were clerical workers, 560 shop assistants and the rest in personal services.
In 2010, the number of male employees had gone up by 850. There were increases of 210 in professional jobs, 80 in shopkeepers, 120 in clerical workers and 20 in personal services. The number in administration was then 1620. In 2010, the female total was 4730. Female clerical workers were 1540, in personal services 1360 and in administration 920. Female shop assistants increased by 110 in 2010, and professional women by 10.
Present the above information in a table and graphically suitable for reproduction in a national
newspaper
Question -1 From two censuses of a population’s occupations, carried out in 2000 and 2010, the following figures were obtained (all values are in ‘000s). Out of 3720 males employed in non-manual occupations in 2000, 450 were employed in professional jobs, 1290 in administration, 500 were shop-keepers, 690 were clerical workers, 480 shop assistants and the remainder in personal services. Of the 3870 women employees in non-manual occupations in 2000, 40 were in professional jobs, 780 in administration, 160 were shop-keepers, 1090 were clerical workers, 560 shop assistants and the rest in personal services. In 2010, the number of male employees had gone up by 850. There were increases of 210 in professional jobs, 80 in shopkeepers, 120 in clerical workers and 20 in personal services. The number in administration was then 1620. In 2010, the female total was 4730. Female clerical workers were 1540, in personal services 1360 and in administration 920. Female shop assistants increased by 110 in 2010, and professional women by 10. Present the above information in a table and graphically suitable for reproduction in a national newspaper. Question-2 Information has been collected on consumption and investment in a number of industries in Europe and presented in the following table: Present this information using: (a) pie charts; (b) appropriate bar charts. Industrial Sources for Consumption and Investment Demand (Euro thousand million) Question-3 The table below shows a company’s quarterly profit and its share price on the Stock Exchange over three years. Construct a suitable graph to represent this data and comment on the behaviour of profit and share price over the three years. Question 4- The mileages recorded for a sample of company vehicles during a given week gave the following data: (Data set CSE8.xlsx can be found on the book’s online platform.) Determine the mean, mode and a five figure summary of the data. What do these descriptive statistics tell you about the distribution of the data? Data now becomes available on the remaining ten cars owned by the company and is shown below. How does this new data change the measures of location which you have calculated? Question -5 A company has large production centres in two towns. The table below represents the distribution of weekly pay of the full-time production staff at these two centres: Using appropriate calculations compare the weekly pay levels for the two sets of production staff. Question -6 The mileages recorded for a sample of company vehicles during a given week yielded the following data: (i) Determine the range, quartile deviation and standard deviation from these figures. (ii) Produce a box-plot of the data and describe the distribution. Question -7 The following two grouped frequency distributions represents the times, over a one week period, that patients had to wait before seeing a doctor in the Accident and Emergency department of two hospitals. a. determine the mean and standard deviation of waiting times for each hospital; b. Produce box plots for both sets of data; c. determine the coefficient of variation and a measure of skew for each hospital’s waiting times; d. with reference parts (a), (b) and (c) discuss the differences in waiting times between the two hospitals. Question -8 A company is using a system of payment by results. The union claims that this seriously discriminates against newer workers. There is a fairly steep learning curve which workers follow with the apparent outcome that more experienced workers can perform the task in about half of the time taken by a new employee. You have been asked to find out if there is any basis for this claim. To do this, you have observed ten workers on the shop floor, timing how long it takes them to produce an item. It was then possible for you to match these times with the length of the workers’ experience. The results obtained are shown below: a. Construct a scatter diagram for this data. b. Find the regression line of time taken on months’ experience. c. Place the regression line on the scatter diagram. d. Predict the time taken for a worker with: (i) four months’ experience; (ii) five years’ experience. e. Comment on the union’s claim.