Bivariate Data and Vitruvian man - Maths

 Does our class have the perfect body form?

Who is a Vitruvian man? The Vitruvian man is a drawing made by the Italian polymath Leonardo da Vinci 

What is a Vitruvian man? Leonardo da Vinci's drawing of a male figure perfectly inscribed in a circle and square, known as the "Vitruvian Man," illustrates what he believed to be a divine connection between the human form and the universe. Beloved for its beauty and symbolic power, it is one of the most famous images in the world.

 

Q - Question	Do we have the perfect body proportion?
P - Participants / Sample	I’m going to be measuring 12 boys heights and arm span from my maths class
V - Variables and Values	My two variables are arm span and height
R - Relationship

S - Step by step	Get all the participants Participants take off their shoes A participant stands up straight on the whiteboard Using a tape measure, measure their height from toe to top of the head Once again we use a tape measure, participant stands up against the whiteboard with their arms stretched out and measure their arm span
C - Control factors	Controlling and avoiding mistakes, taking off shoes, etc
C - Conditions	Using measuring tapes
R - Repeat	Repeating the measurements

I collected my data and plotted the information onto google spreadsheets. 

subject no Name	Height in meters	Arm span in meters
1 Mr. Rees	1.83	1.76
2 Zion	1.78	1.78
3 Subhnesh	1.77	1.78
4 Matthew	1.84	1.85
5 Cole	1.68	1.69
6 Zappa	1.64	1.64
7 Dan	1.85	1.85
8 Tai	1.69	1.69
9 George	1.85	1.89
10 Harry	1.71	1.34
11 Andy	1.43	1.43
12 Nick	1.76	1.76
13 Nino	1.96	1.84
14 Manase	1.98	1.98
15 Brad	1.87	1.92
16 Ricky	1.88	1.87

Analysis

Trend - The trend on this graph is a strong Linear graph. You can see that it is all bunched up together which makes it a positive linear graph. 

Direction - This graph is strongly Increasing. It is going upwards along the best fit line.

Strength - The strength on this graph is moderately strong. It is all bunched together.

Unusuals/outliers -  There are 3 outliers in this graph. The 3 outliers are the ones way off the best fit line.

Conclusion

Does our class have the perfect body proportions? Yes, I think the data I have collected shows that  95% of the class has got the perfect body proportions. We can see this in the trend, direction, and strength of the graph. The data that has been captured is a strong linear increasing scatter graph.