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Colony 3 Colony 4

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QUESTION 2 Into which colony, the first or the second, should this student classify the unknown third colony? In your justification for your decision, include a detailed analysis of the plots (Q1 b) and summaries (Q1 a) obtained in Question 1 as well as a comparative discussion on the general overall shape of the beaks in each group. N.B. you should refer to at least 6 statistical analyses (marked with * in key definitions) plus refer to the graphs. In order to decide on which colony the birds in Colony 3 belonged to, I created statistical summaries and box & whisker plots for each colony (Appendices 1 – 6). I decided to record my findings with these, as the statistical summaries detailed descriptive statistics that would assist me in finding …show more content…

I measured the population standard deviation in order to utilise all my values for a more accurate result, but I also measured using sample standard deviation to create another value that I could use to compare the length and widths within each colony. The population standard deviation for the length and width in Colony 1 were 1.649 mm and 1.679 mm respectively, while the sample standard deviation for the length and width in Colony 1 were 1.691 mm and 1.723 mm. In Colony 2, the population standard deviation for both the length and width were 1.254 mm and 1.757 mm, while the sample standard deviation for both measurements were 1.287 mm and 1.802 mm. In Colony 3, the population standard deviation for both length and width were 1.614 mm and 1.479 …show more content…

The interquartile ranges indicate how spread out the data is, along with the middle 50% of a data set. I calculated the interquartile range in order to display the spread of data in each colony, for the lengths and widths of all beaks. In Colony 1, the IQR for the length and width of beaks were 2.55 mm and 3.1 mm. In Colony 2, the IQR for the lengths and widths were 1.5 mm and 2.5 mm, while in Colony 3, the length and width of the beaks were 2 mm and 2.6 mm. While the IQR for Colony 3’s beak lengths sit in between the IQR for beak lengths in Colony 1 and 2, it is closer to Colony 1. On the contrary, there is a very small disparity of 0.1 mm in the IQR for beak widths in Colony 2 and Colony 3, leading to the assumption that the birds could be from Colony 2. However, due to the overwhelming amount of evidence that proves that the birds of Colony 3 actually belong to Colony 1, this claim can be

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