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Exploring data: graphs and numerical summaries Figure 1 Tattoo sizes Activity 3: Tattoo sizes Calculate the angles that represent the numbers of medium and small tattoos. View answer - Activity 3: Tattoo sizes Once you have calculated the angles, you draw in the three radii that subtend them, and then shade the three sectors in order to distinguish them from each other. At first sight the pie chart seems to fulfil the basic requirements of a good statistical display: it appears to be informative, easy to construct, visually appealing and readily assimilated by a non-expert. Pie charts can be useful when all you want the reader to notice is that there were more large than medium size tattoos, and more medium than small tattoos. But in conveying a good impression of the relative magnitudes of the differences, they have some limitations. Also pie charts are useful only for displaying a limited number of categories, as the next section illustrates. Page 20 of 82 22nd February 2016 http://www.open.edu/openlearn/science-maths-technology/mathematics-andstatistics/mathematics/exploring-data-graphs-and-numerical-summaries/content-section-0