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Statisctics coursework

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Introduction

For my data presentation coursework, I will attempt to prove my hypothesis. My hypothesis is that European countries are wealthier than African countries. First of all, I will find the range of both sets of data. Europe Africa -55100 -12400 2300 500 Range= 52800 11900 Next I will find the mean for each set of data. Europe GDP Tally Freq. Mid Total 0-4999 IIII 4 x 2500 = 10000 5000-9999 IIIIl II 7 x 7500 = 52500 10000-14999 IIIII II 7 x 12500 = 8400 15000-19999 IIIII II 7 x 17500 = 122500 20000-24999 IIIII I 6 x 22500 = 135000 25000-29999 IIIII IIIII I 11 x 27500 = 302500 30000-34999 IIIII 5 x 32500 = 162500 35000-39999 I 1 x 37500 = 37500 40000-44999 0 x 42500 = 0 45000-49999 0 x 47500 = 0 50000-54999 0 x 52500 = 0 55000-59999 I 1 x 57500 = 57500 49 888400 Europe Mean = 888400/49=18130.61 Europe Modal Group = 25000-29999 Africa GDP Tally Freq. Mid Total 0-999 IIIIl lllll lllll 15 x 500 = 7500 1000-1999 lllll lllll lllll llll 19 x 1500 = 28500 ...read more.

Middle

Median = 20343 Europe Upper quartile = 26809 Europe Lower quartile = 16292 Europe Interquartile range = 26809 - 16292 = 10517 Africa GDP Tally Freq. Cum. Freq 0-999 IIIIl lllll lllll 15 15 1000-1999 lllll lllll lllll llll 19 34 2000-2999 Ill 3 37 3000-3999 ll 2 39 4000-4999 III 3 42 5000-5999 Il 2 44 6000-6999 Il 2 46 7000-7999 Il 2 48 8000-8999 ll 2 50 9000-9999 0 50 10000-10999 l 1 51 11000-11999 I 1 52 12000-12999 I 1 53 Africa Median = 1774 Africa Upper quartile = 4723 Africa Lower quartile = 999 Africa Interquartile range = 4723 - 999 = 3724 I will now find a more accurate median using stem and leaf diagrams. Europe Europe Median = 19900 Europe Mode = (this set is quadmodal) 6700, 20000, 22000 and 26800 each occurring twice. Africa Africa Median = 1500 Africa Mode = (this set is bimodal) 600 and 800, each occurring four times. Pie Chart First of all, I will calculate how many GDP points will be represented by one degree... ...read more.

Conclusion

Lower quartile = 999 Highest = 55100 Highest = 12400 Lowest = 2300 Lowest = 500 As well as being generally lower than their like for like European counterparts, the African quantities are also closer together. The fact that the African quantities are generally lower proves my hypothesis. To extend this investigation, I am going to state a second hypothesis; life expectancy and GDP are directly linked. In an attempt to prove this, I will construct a scatter diagram for each continent, plotting GDP (x axis) against life expectancy (y axis). If the correlation is positive, () then my hypothesis will be proved, if the correlation is negative, () then my hypothesis will be disproved. Europe N.B. The life expectancy for the Czech Republic was missing, so I have estimated it at 70. Africa I have included a line of best fit in my diagram, so that I can estimate life expectancy based on GDP, e.g. if GDP was 5000, I would estmate Life expectancy at 73. As correlation in both graphs was positive, my hypothesis, that life expectancy is linked to GDP, has been proved. ...read more.

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