Question

Consider the distribution of values D = {-3, 2, 5, 7, 12, 19}. For this question,...

  1. Consider the distribution of values D = {-3, 2, 5, 7, 12, 19}. For this question, show all of your work by hand.
    1. Calculate the deviations for each observation in D and add up these deviations.
    2. Use the previous result to explain carefully why the mean is a balance point. In your explanation, include a drawing that highlights this meaning.
    3. Calculate the mean absolute deviation and the sample standard deviation.
    4. What is the meaning of the standard deviation in very specific terms?

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