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Published byDustin Simmons Modified over 9 years ago
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Leafy Maths
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Investigating leaf size for different trees How can we collect a random sample of 20 leaves? What measurement shall we take?
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Leaf A length mmLeaf B length mmLeaf C Length mm 547846 659456 6610558 355116 415420 415216 486841 506844 334513 416325 7110558 10211564 244512 334615 547545 15355 628349 446332 598149 22366
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Stem and leaf plot
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Leaf A length mm Leaf B length mm Leaf C Length mm 15355 22366 244512 334513 334615 355116 415216 415420 416325 446332 486841 506844 547545 547846 598149 628349 659456 6610558 7110558 10211564 Median
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Analysing the Data Measure the leaves mm Put this data into a excel Sort it smallest to largest Calculate min, max, Q1, Q2, Q3
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What are quartiles? Here are 20 leaf lengths 1215 161820242526 2730 32344048515261 Q1 Min Q2 Max Q3 19 12 26.5 61 37
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Leaf A length mm Leaf B length mm Leaf C Length mm 15355 22366 244512 334513 334615 355116 415216 415420 416325 446332 486841 506844 547545 547846 598149 628349 659456 6610558 7110558 10211564 Q1 Min Q2 Max Q3 Quartiles
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Draw a box plot Min, Q1,Q2, Q3, Max
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Calculate mean and Standard deviation You can draw a similar box plot to the quartiles now Each pair work out A, B or C
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Examples of box plots Try to find some of your own. Search www.google.co.uk on box plots and imageswww.google.co.uk
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Leaf A length mm Leaf B length mm Leaf C Length mm 547846 659456 6610558 355116 415420 415216 486841 506844 334513 416325 7110558 10211564 244512 334615 547545 15355 628349 446332 598149 22366 Ordered Leaf A length mm Leaf B length mm Leaf C Length mm 15 35 5 22 36 6 24 45 12 33 45 13 33 46 15 35 51 16 41 52 16 41 54 20 41 63 25 44 63 32 48 68 41 50 68 44 54 75 45 54 78 46 59 81 49 62 83 49 65 94 56 66 105 58 71 105 58 102 115 64
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