That's a good question, Art. If the weights are positive integers and if you specify the bandwidth, then I think the histograms will be the same on the density scale. However, most histogram algorithms use an automated binning algorithm that chooses bins based on the number of observations, N. Since N for the frequency case isn't the same as N for the weighted case, you might get different bin widths from the automated binning algorithm. Theoretically, a frequency variable will result in smaller bin widths because there are more observations.
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