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Assessment 2

Question 1.

The planet may be threatened by climate change due to unsustainable activities, possibly caused by burning fossil fuels (petroleum, natural gas and coal) that produce carbon dioxide (CO2). The table stored in file CO2 EMISSIONS.XLSX (in the course website) lists the top 15 producers of CO2 (millions of metric tonnes) from fossil fuels in 2009 and 2013. Using this data, answer the questions below.

  1. Use an appropriate graphical technique to compare the amount of CO2 emissions (in millions of metric tonnes) in 2009 and 2013, broken down by the producer countries. 

(b) Use an appropriate graphical technique to compare the percentage value of the amount of CO2 emissions (in %) in 2009 and 2013, broken down by the producer countries. 

(c) Comment your observations in parts (a) and (b).

In part a, in the year 2009 for every country the CO2 emissions are higher than in the year 2013 except for China where in 2009 the emission in 2009 is 532.77 whereas in 2013 it is 5300.

In part b, when percentage was calculated during both the years CO2 emissions were decreasing except for China and USA.

Question 2. 

The amount of time (in seconds) needed for assembly-line workers to complete a weld at a car assembly plant in Adelaide was recorded for 40 workers. 

 59 60 81 74 68 66 49 76 63 67 69 35 65 61 43 72 83 65 69 70 54 61 38 92 72 74 55 63 69 73 75 47 60 62 68 51 71 73 68 99 

  1. Construct a frequency distribution and a relative frequency distribution for the data. 
Classes Frequency  Relative frequency
35-45 3 0.075
45-55 3 0.075
55-65 10 0.25
65-75 18 0.45
75-85 4 .1
85-95 1 0.025
95-105 1 0.025

  Total                         40                                    1

  1. Construct a cumulative frequency distribution and a cumulative relative frequency distribution for the data.
Classes Cumulative Frequency  Cumulative Relative frequency
35-45 3 0.075
45-55 6 0.15
55-65 16 0.4
65-75 34 0.85
75-85 38 0.95
85-95 39 0.975
95-105 40 1

  1. Plot a relative frequency histogram for the data. 
  2. Construct an ogive for the data
  3. What proportion of the data is less than 65? 

37.5% proportion of the data is less than 65

  1. What proportion of the data is more than 75?

12.5% proportion of the data is more than 75

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