Recently, we had gone through all the materials covered by AP Statistics. As our teacher announced so far, we students, as separate groups, built mind maps to generalize the entire knowledge system inside the statistics class. I saw a lot of great mind maps from other groups that not only included the necessary things we have to know, but also demonstrated these things with innovative themes, like using some objects to allude to the processes of studying statistics.
The ideals and philosophy behind our groups’ construction were also clear. We separated the learned knowledge into four parts: Collecting Data, Exploring Data, Anticipating Patterns, and Making Inferences, with each part accompanied by certain structure of the plant body, while the plant itself is similar to we students, who are going to make our way to develop understanding about statistics.
The “root” – Collecting Data – is the basis of the entire plant. It is necessary to have good research methods in order to collect, analyze, and use the data we accessed, as root needs to absorb water and minerals from the soil so that the plant can grow taller.
The “stem and leaves” – Exploring Data and Anticipating Patterns – act as support for the plant. We have to harness statistical theories and methods to describe the overall data and predict the trends. Similarly, the stem structurally maintains the plant’s overall shape, where as leaves are required to make nutrients (sugars) through photosynthesis and transport them to the whole organism.
The “flower” – Making Inferences – could be regarded as a beautiful illustration of the plant’s characteristics. We need to infer from the accessed data to get evidence so that we could make conclusions. Like the determinate growth pattern of the apical meristem to floral part should be triggered by biochemical signals and environmental stimuli.
In fact, the plant we drew is a pea plant. It was used by Mendel to conduct research about genetics. Mendel utilized a series of statistical methods, like direct control of the variables, measuring the traits of pea plants, anticipating the probability of phenotypes, and checking his hypothesis using goodness-of-fit test. It was such these statistical methods that aided his generalization of the laws of inheritance. This event, on the other hand, enlightened us to sensibly harness our understanding of statistics and thus make contribution to the development of science, technology and society.
Hope all of you could finally get the “fruits” from statistics!