Question

In: Statistics and Probability

Given the following list of objects and a fixed bin size of 70: L = [16,...

Given the following list of objects and a fixed bin size of 70:

L = [16, 40, 47, 26, 48, 31, 30, 24, 36, 17]

What is the lower bound on the number of bins required?

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Solutions

Expert Solution

The bin size is given to be N = 70.

The weight matrix provided is L = [16, 40, 47, 26, 48, 31, 30, 24, 36, 17].

Therefore, the total weight is:

Let there be a value called F defined as the ratio of W and N.

Then the minimum number of bins is given by the ceiling function of F. Therefore, we round F to the nearest integer greater than F.

Hence the minimum number of bins are:


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