• Card 8 / 11: The following scenario is applied to questions 6 and 7: You are a pediatrician who only sees patients who are 6 years old and have red hair. The distribution of the height of 6 year olds is approximately normal with a mean of 40 inches and a standard deviation of 3 inches. What percentile is Billy compared to all other 6 year olds?A red?-headed 6?-year?-old scamp named Billy measures 46 inches at his latest check?-up.

    Answer:
    Billy is 2 standard deviations above the mean. Therefore, according to the distribution of a theoretical normal distribution, he is at the 97.5th percentile. In other words, 97.5% of all 6?-year olds would have heights lower than Billy?fs.

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Epidemiology Biostatistics Descriptive Statistics

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Attribution:  Janet, E.A. Forrester, Kwan Ho Kenneth Chui, Steven Cohen, Michael D. Kneeland, Alice Tang, David Tybor. Epidemiology and Biostatistics 2010. (Tufts University OpenCourseWare), http://ocw.tufts.edu/Course/65/ (Accessed 3 May, 2014). License: Creative Commons BY-NC-SA
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