Statisctics coursework

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 -124002300 500Range= 52800 11900Next I will find the mean for each set of data.EuropeGDP Tally Freq. Mid Total0-4999 IIII 4 x 2500 = 100005000-9999 IIIIl II 7 x 7500 = 5250010000-14999 IIIII II 7 x 12500 = 840015000-19999 IIIII II 7 x 17500 = 12250020000-24999 IIIII I 6 x 22500 = 13500025000-29999 IIIII IIIII I 11 x 27500 = 30250030000-34999 IIIII 5 x 32500 = 16250035000-39999 I 1 x 37500 = 3750040000-44999 0 x 42500 = 045000-49999 0 x 47500 = 050000-54999 0 x 52500 = 055000-59999 I 1 x 57500 = 5750049 888400Europe Mean = 888400/49=18130.61Europe Modal Group = 25000-29999AfricaGDP Tally Freq. Mid Total0-999 IIIIl lllll lllll 15 x 500 = 75001000-1999 lllll lllll lllll llll 19 x 1500 = 285002000-2999 Ill 3 x 2500 = 75003000-3999 ll 2 x 3500 = 70004000-4999 III 3 x 4500 = 135005000-5999 Il 2 x 5500 = 110006000-6999 Il 2 x 6500 = 130007000-7999 Il 2 x 7500 = 150008000-8999 ll 2 x 8500 = 170009000-9999 0 x 9500 = 010000-10999 l 1 x 10500 = 1050011000-11999 I 1 x 11500 = 1150012000-12999 I 1 x 12500 = 1250053 154500Africa Mean =154500/53=2915.09Africa Modal Group = 1000-1999I am now going to find the cumulative frequency and use that data to draw a cumulative frequency graph so that I can find the upper and lower quartiles and calculate the interquartile range, I will also find an estimate for the mean.EuropeGDP Tally Freq. Cum. Freq.0-4999 IIII 4 45000-9999 IIIII II 7 1110000-14999 IIIII II 7 1815000-19999 IIIII II 7 2520000-24999 IIIII I 6 3125000-29999 IIIII IIIII I 11 4230000-34999 IIIII 5 4735000-39999 I 1 4840000-44999 0 4845000-49999 0 4850000-54999 0 4855000-59999 I 1 49Europe Median = 20343Europe Upper quartile = 26809Europe Lower quartile = 16292Europe Interquartile range = 26809 – 16292 = 10517AfricaGDP Tally Freq. Cum. Freq0-999 IIIIl lllll lllll 15 151000-1999 lllll lllll lllll llll 19 342000-2999 Ill 3 373000-3999 ll 2 394000-4999 III 3 425000-5999 Il 2 446000-6999 Il 2 467000-7999 Il 2 488000-8999 ll 2 509000-9999 0 5010000-10999 l 1 5111000-11999 I 1 5212000-12999 I 1 53Africa Median = 1774Africa Upper quartile = 4723Africa Lower quartile = 999Africa Interquartile range = 4723 – 999 = 3724I will now find a more accurate median using stem and leaf diagrams.EuropeEurope Median = 19900Europe Mode = (this set is quadmodal) 6700, 20000, 22000 and 26800 each occurring twice.AfricaAfrica Median = 1500Africa Mode = (this set is bimodal) 600 and 800, each occurring four times.Pie ChartFirst of all, I will calculate how many GDP points will be represented by one degree…888400 1042900+154500 / 3601042900 2897Next, I will calculate how many degrees each continent will require…Europe Africa888400 154500/ 2897 / 2897 _306.66 ____53.33Before constructing the pie chart, I will add the two above answers to make sure that they add up to 360 degrees, so that I can ensure that my chart is accurate.306.66+ 53.33359.99This is close enough, as the .01 can be accounted for by the fact that I rounded my answers to avoid calculating all the decimal places.The pie chart above clearly shows what proportion of their combined wealth each continent owns.Next, I will construct a box an whisker plot, using figures from both sets of data, because both sets proved to be multimodal, i.e. they had more than one mode, I will use the mid-points of the modal groups acquired from my frequency polygons.I will use the median gained from the stem and leaf diagrams, as they are more accurate than those from the cumulative frequency curves.Europe AfricaMedian = 19900 Median = 1500Upper quartile = 26809 Upper quartile = 4723Lower quartile = 16292 Lower quartile = 999Highest = 55100 Highest = 12400Lowest = 2300 Lowest = 500As 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.EuropeN.B. The life expectancy for the Czech Republic was missing, so I have estimated it at 70.AfricaI 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.

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