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mode: most common numberex) heights: two modes 64 and 66ex) number of math classes: 1ex) test scores: no mode (all <strong>the</strong> same frequency)Question: which of <strong>the</strong>se should we use, and why?ex) number of credits taken at BMCC in math150 class:0,0,9,12,21,22,27,32,35,38,44,50,52,56mean =median =mode = 0ex) <strong>the</strong>re can be a problem with <strong>the</strong> mean<strong>the</strong> average salary in this class is around $15,000if Bill Gates (and his $1,000,000,000 salary) walk into <strong>the</strong> room,<strong>the</strong> average salary is now around $35,000,000. does this make us allmillionaires? ...no<strong>the</strong> median salary is still around $15,000, because at most you go to <strong>the</strong>next number on <strong>the</strong> list"<strong>the</strong> Bill Gates effect"Bill Gates' salary is an outlier: it is a value far away from most of <strong>the</strong> data<strong>the</strong> average is not robust with respect to an outlier<strong>the</strong> median is robust with respect to an outlierrobust: not affected by [also known as resistant]

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