- #1
onako
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Given a set of random real numbers G=(a, b, c, d, e, f, ...), I am supposed to calculate the number T such that the sum of squared errors between that
number and all the elements in G is mimimum. Intuitively, this should be the average of the numbers in G, but I am not sure how to proceed with the proof (perhaps I am missing something important here).
Would the same answer hold for the question: compute a number T such that the deviation of all the elements in G with respect to T is mimimum. (The standard deviation is with respect to the mean value, but is there some other value T such that the deviation with respecto to it is mimimum (smaller that standard deviation and all others))
In addition, how would the conclusions relate to the median value. Again, intuitively, this would match the number T with the closest value in G.
Your opinion on this is highly appreciated. Thanks
number and all the elements in G is mimimum. Intuitively, this should be the average of the numbers in G, but I am not sure how to proceed with the proof (perhaps I am missing something important here).
Would the same answer hold for the question: compute a number T such that the deviation of all the elements in G with respect to T is mimimum. (The standard deviation is with respect to the mean value, but is there some other value T such that the deviation with respecto to it is mimimum (smaller that standard deviation and all others))
In addition, how would the conclusions relate to the median value. Again, intuitively, this would match the number T with the closest value in G.
Your opinion on this is highly appreciated. Thanks