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25 November, 13:39

Madison claims that two data sets with the same median will have the same variability. Which data set would provide good support for whether her claim is true or false?

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  1. 25 November, 13:48
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    Her claim is false, we can prove it with the next data sets 5,5,5,5,5 and 3, 4, 5, 6, 7

    Step-by-step explanation:

    If we define the first data set as 5, 5, 5, 5, 5; the median is easily found to be 5 and the variability is 0, i. e., there is no variability in this data set. A second data set with a median of 5 is 3, 4, 5, 6, 7 and its variability is greater than 0 because we have different positive numbers. It is possible to compute the variance (sample variance) for both data sets, the variance for the first data set is 0 and the variance for the second data set is 2.5
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