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April 5, 2017 | Mathematicsematical Statistics | By admin | 0 Comments

By Alan Graham

Designed to intensify understanding of statistical rules, this entire and research-based textual content explores 4 major subject matters: describing, evaluating, inter-relating, and uncertainty.

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Despite her slender years, Caitlin seems to have got to grips with the essence of what is sometimes referred to as a bi-variate (that is, two-variable) relationship. In this example, the variables are ‘time’ and ‘size of balloon’. QXD 13/1/06 7:22 am Page 35 INTERRELATING WITH WORDS AND NUMBERS 35 Bi-variate relationships can often be expressed in the form of a ‘double comparative’, which is the form that Caitlin used with her balloon relationship. This is ‘the more of X, the more of Y’ or sometimes, as in Caitlin’s case, ‘the more of X, the less of Y’.

4 Doing a Calculation C Bearing in mind that the aim of this investigation was to see whether women or men were better able to distinguish real from false smiles, what calculations do you think would be appropriate? Stage I : Interpret the Results In the Daily Telegraph article that featured this piece of research (Fleming, 2005), much was made of the fact that men proved to be better at reading women’s faces than women were at reading men’s. The views of three ‘experts’ were sought to explain these differences.

A report was published in Scientific American (Treffert and Wallace, 2002, p. 21) of a group of volunteers who were shown random sequences of circles and squares, while measurements were made of the blood flow to their prefrontal cortex (the part of the brain used in memorisation during moment-to-moment activity). Even though these subjects knew that the patterns were random, this brain layer seemed to ‘notice’ apparent short-term patterns and then show a reaction whenever they were violated. Verbal descriptions are sometimes required in order to capture descriptions of certain subtle human qualities, but, particularly when comparisons are needed, describing with numbers is a useful alternative.

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