Unit 2 Statistics Booklet - Newbattle Community High School

Unit 2 Statistics Booklet - Newbattle Community High School Unit 2 Statistics Booklet - Newbattle Community High School

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The ScattergraphExercise 51. The scattergraph shows the heightand weight of six children.(a) What height is Fred?(b) What weight is Eric?(c) Which two children are thesame height?(d) Who is the lightest?(e) Who is the shortest?Height (in cm)2101801501209060300AnnxxFredxHenryxDonxJanxEric10 20 30 40 50 60Weight (in kg)2. This graph shows a relationbetween the temperature duringthe day and the sales of ice lollieson that day.(a) Suggest a connection betweenthe temperature and the salesof ice lollies.(b) Use the chart to estimate thenumber of ice lollies whichmight be sold when thetemperature reaches 35 degrees.(c) Estimate what the temperaturewas when thirteen ice lollies weresold?Sales of ice lollies20181614121086420xxxx x x xxx x xx x xx xxx5 10 15 20 25 30 35Temperature ˚C3. This scattergraph shows theprices which taxi cabs chargefor fairly short distances.(a) Suggest a connectionbetween the fare and thenumber of miles travelled.(b) Why is there a cross at (0,0)?(c) Use the chart to give areasonable guess at howfar you could go in a taxifor £1·50.(d) How much do you think a6 mile journey would cost?cost (£)£4·00 4£3·00 3£2·00 2£1·00 10000 2 4 6 8distance travelled (miles)Mathematics: Mathematics 2 (Int 1) Statistics – Student Materials 14

4. ‘Trylin Yachts’ cost £100 000 new.The graph shows what price secondhand Trylin yachts are sold for.(a) Between which years doyachts fall in value by thelargest amount?(b) Suggest a connection betweenwhat you would have to payfor a yacht and its age.(c) Use the graph to estimatehow old a yacht might beif you spent £50 000 buyingit second hand.(d) From the graph, how much doyou think an two year oldyacht would cost?Cost (not new) £100010090807060504030201001 2 3 4 5 6Age of Yacht (years)5. A green keeper at Grey Golf Club had terrible trouble trying to get grass togrow in the rough. He was recommended to try three new grass growing treatments,one on each of three holes. He hoped for good, steady growth which would thenlet him cut the grass to his desired height.The results are shown in the scatter graphs:Treatment ATreatment BHeightofGrass* * * * * * * * **HeightofGrass* * * * * * **Amount AppliedAmount AppliedTreatment CHeightofGrass* **** * *****Amount Applied(a)(b)Comment on the effect each treatment (and the amount used) has on the grass.If you were the greenkeeper which one would you use? Why?Mathematics: Mathematics 2 (Int 1) Statistics – Student Materials 15

The ScattergraphExercise 51. The scattergraph shows the heightand weight of six children.(a) What height is Fred?(b) What weight is Eric?(c) Which two children are thesame height?(d) Who is the lightest?(e) Who is the shortest?Height (in cm)2101801501209060300AnnxxFredxHenryxDonxJanxEric10 20 30 40 50 60Weight (in kg)2. This graph shows a relationbetween the temperature duringthe day and the sales of ice lollieson that day.(a) Suggest a connection betweenthe temperature and the salesof ice lollies.(b) Use the chart to estimate thenumber of ice lollies whichmight be sold when thetemperature reaches 35 degrees.(c) Estimate what the temperaturewas when thirteen ice lollies weresold?Sales of ice lollies20181614121086420xxxx x x xxx x xx x xx xxx5 10 15 20 25 30 35Temperature ˚C3. This scattergraph shows theprices which taxi cabs chargefor fairly short distances.(a) Suggest a connectionbetween the fare and thenumber of miles travelled.(b) Why is there a cross at (0,0)?(c) Use the chart to give areasonable guess at howfar you could go in a taxifor £1·50.(d) How much do you think a6 mile journey would cost?cost (£)£4·00 4£3·00 3£2·00 2£1·00 10000 2 4 6 8distance travelled (miles)Mathematics: Mathematics 2 (Int 1) <strong>Statistics</strong> – Student Materials 14

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