Jane and Jill are both shown spheres and asked to remember what they have observ

Question

Jane and Jill are both shown spheres and asked to remember what they have observed. Jane doesn't group the spheres into categories and simply stores the size and shade of each sphere. For example, she remembers that: Sphere sl has size xl. Sphere sl has shade yl. Sphere s19 has size x19. Sphere s19 has shade y19. Jill forms four categories that we will label A through D. She remembers that: Sphere sl is an A. Sphere s2 is an A. Sphere s3 is an A. Sphere s4 is an A. Sphere s5 is a B. Sphere s9 is a C. Sphere s14 is a D As have size xA As have shade yA, Bshave size xB Bs baxe shade yB. Cs have size xC Cs have shade yc Ds have size xD. Ds have shade yl For our purposes, each sentence in italics above counts as a single piece of information. (a) (2 points) How many pieces of information in total does Jane remember about the spheres? (b) (2 points) How many pieces of information in total does Jill remember about the spheres? (c) (8 points) How are categories useful? Answer this question by describing one advantage of Jill's strategy Sphere s8 is a Sphere s13 is a C. Sphere s19 is a B. D. compared to Jane's (d) (8 points) How can categories be harmful? Answer this question by describing one disadvantage of Jill's strategy compared to Jane's.

Explanation / Answer

(a) Jane remembers four pieces of information

(b) Jill remembers eighteen pieces of information.

(c) Categories allow grouping of information, not just plain stating. Grouping fundamentally reduces the data size. When concepts are grouped, similarities are factored and all concepts falling under the common factor are grouped. Categories help in organizing data, especially many components with similar properties. Categories allows for detailed description or analysis of data.

(d) Jill's Strategy involves a lot of information, as indicated by 18 pieces of information opposed to Jane's 4 pieces. This bulk of information is difficult to process at a glance and need further analysis. Categories can be harmful in this case because they over complicated the results by oversimplifying the individual properties of the spheres. The formation of categories is an addition to the data and thus unlike Jane's stratergy, Jill's is quantitativly more analysis and data.

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