For constant bin width these two expressions can be simplified using :

The number of bins k can be assigned directly or can be calculated from a suggested bin width h as:

Therefore, bin widths (ADI) were not necessarily equal, yet the number of genes contained in each bin was equivalent.

Depending on the actual data distribution and the goals of the analysis, different bin widths may be appropriate, so experimentation is usually needed to determine an appropriate width.

Similarly, digital pulse height analyzers with variable bin widths provide much higher resolution data as opposed to analog analyzers with fixed bins.

When an image spreads across several pixels, each with graded intensity response but only a single spatial value, the position of the image center can be located more exactly than the width of the pixel, much like the mean of a histogram can be calculated to a fraction of the bin width.