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1) Draw a histogram (using percentages) for the grouped frequency distribution of daily high temperatures for City X from Week 2. Why is a histogram used instead of a bar graph? What can you say about the shape of the distribution? frequency Percentages Cummulative frequencies Cummulative percentages 20-29 9 2.47% 9 2.47% 30-39 23 6.30% 32 8.77% 40-49 32 8.77% 64 17.53% 50-59 75 20.55% 139 38.08% 60-69 90 24.66% 229 62.74% 70-79 77 21.10% 306 83.84% 80-89 34 9.32% 340 93.15% 90-99 19 5.21% 359 98.36% 100-109 6 1.64% 365 100.00% frequency 100 90 80 70 60 50 40 30 20 10 o 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99 100-109 2)Draw a bar graph (using percentages) for the simple frequency distribution of the first digits of Massachusetts city and town populations from Week 2. Why is a bar graph used instead of a histogram? What can you say about the shape of the distribution? Look up Benford's Law, and explain the pattern shown in the distribution of populations. Narse of Cky/Town Population 12017 Istleft band dight Upper Insits Prequency Percentage Cumslativo frequency Cumslative percentage Abington 16,256 1 is 15% 15 19% Agaware Town 25,645 21 27% as 40% Ammbury Town 17,457 12% AS sa% Amherrt Corrier 20,200 15% $7 72% Adington 45,510 10% " 52% Atteboro 44,530 c - Barnstable Town 44,162 30% belmont 26,458 E 4 5% 74 35% Roverly 41,816 4 5% 70 200% Baston 655,054 Total 75 Braintroe Town 27,156 Brockton 55,672 Frequency Distribution Brockine $5,157 25 Burlington 27,176 Cambridigo 112,630 20 40,227 Chicopee SE,SIS 15 Danwert 27,558 Dedham 25,364 10 Town 16,050 Ewarett 46,224 5 Frear 15,420 Fitchburg 40,752 D - 72,022 1 2 , . 5 6 7 A a Frankilin Town 22,5% Cardner 20,640 are nob Population valuarvary anong the 20,172 Town 17,442 Hzwarhill 63,629 Holyalco 40,341 Hudion 15,900 Lavirence $0,162 41,615 22,727 Lorgreeadow 15,864 Lowell 111,246 Lymn 34,062 Malden 61,246 Morblehes 20,554 Marlborgugh 29,572 Medtord 57,757 Melrose 21,267 resthuan Town 90,259 Miford 25,500 Miton 27,575 Needhum 20,333 New Bodford 55,120 Newburyport 11,090 Newton 11,334 Northumpton 21,592 Norwood 29,195 Pesbody 52,597 42,531 Quinty 34,196 Fandolph 34,272 Reading 26,106 Navere 52,532 Salori 41,415 Saugus 20,251 Sorsoret 10,176 51,140 Southbridg Town 16,511 Springteld 154,756 Storeham 22036 Swarspacatt 15,177 Taunton 57,129 27,157 62,442 Waterlown Town 25,756 23,475 Wertfeld 41,700 Wost Town 25,704 Weymouth Town $6,064 Wimington 22,902 Mincherter Winthrop Town 11,625 Woburn 29,701 Worconter 155,637

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