# Center for Analysis and Design of Intelligent Agents

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public:t-701-rem4:s4._sample_behavior_of_mean_and_median [2007/09/09 12:57]
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====== Study of the behavior of the mean and the median under repeated sampling ====== ====== Study of the behavior of the mean and the median under repeated sampling ======
-In a group of 11 individuals, the variable x gives the following readings: 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111. Take a sample of 5 (without replacement) repeatedly (include all 11 again in the repetition) and find the mean and the median for each sample. Study how these sample statistics vary, using both graphical, quantitative and verbal descriptions. Do a similar study for the variable y measured on another group of 11, giving the readings 10, 10, 10, 10, 10, 10, 10, 10, 1000, 10000, 100000.+In a group of 11 individuals, the variable x gives the following readings: 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111. Take a sample of 5 (without replacement) repeatedly (include all 11 again in the repetition) and find the mean and the median for each sample. Study how these sample statistics vary, using both graphical, quantitative and verbal descriptions. Do a similar study for the variable y measured on another group of 11, giving the readings 10, 10, 10, 10, 10, 10, 10, 10, 1000, 10000, 100000. The number of repetitions should be at least 1000 for each variable.

Turn in a report with the IMRD structure before 13:00 Sunday 16 Sept. e-mail the report as PDF file (for reading) and in an editable file (for commenting). Reference for the IMRD structure will be given separately. Turn in a report with the IMRD structure before 13:00 Sunday 16 Sept. e-mail the report as PDF file (for reading) and in an editable file (for commenting). Reference for the IMRD structure will be given separately.