Investigating leaf size for different trees How can we collect a random sample of 20 leaves What measurement shall we take Leaf A length mm Leaf B length mm Leaf C Length mm 54 78 46 65 ID: 487952
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Slide1
Leafy MathsSlide2
Investigating leaf size for different trees How can we collect a random sample of 20 leaves?
What measurement shall we take?Slide3Slide4
Leaf A length mm
Leaf B length mm
Leaf C Length mm
54
78
46
65
94
56
66
105
58
35
51
16
41
54
20
41
52
16
48
68
41
50
68
44
33
45
13
41
63
25
71
105
58
102
115
64
24
45
12
33
46
15
54
75
45
15
35
5
62
83
49
44
63
32
59
81
49
22
36
6Slide5
Stem and leaf plotSlide6
Stem and leaf plotSlide7
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
46153551164152164154204163254463324868415068445475455478465981496283496594566610558711055810211564
MedianSlide8
Analysing the Data Measure the leaves mmPut this data into a excel
Sort it smallest to largestCalculate min, max, Q1, Q2, Q3Slide9
What are quartiles?Here are 20 leaf lengths
12
15
15
16
18
20
24
25
26
26
27
30
30
32
34
4048515261Q1MinQ2MaxQ3191226.56137Slide10
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
46153551164152164154204163254463324868415068445475455478465981496283496594566610558711055810211564
Q1
Min
Q2
Max
Q3
QuartilesSlide11
Draw a box plot
Min, Q1,Q2, Q3, MaxSlide12
Calculate mean and Standard deviation
Answers
A
A
A
You can draw a similar box plot to the quartiles now
Each pair work out A, B or CSlide13
Examples of box plots
Try to find some of your own. Search
www.google.co.uk
on box plots and imagesSlide14
Leaf A length mm
Leaf B length mm
Leaf C Length mm
54
78
46
65
94
56
66
105
58
35
51
16
41
5420415216486841506844334513416325711055810211564244512334615547545153556283
49
44
63
32
59
81
49
22
36
6
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