1. A method for determining blended histogram shapes for data samples, comprising: generating with a first method a first set of all possible histogram shapes of exactly, or at most, any finite subset of, any prescribed finite positive integer number or numbers of bins for a data sample on a histogram application on a target network device with one or more processors, wherein the data sample is obtained from a data analysis application or from a scientific experiment and wherein the first method determines a first pre-determined ranking order of the first set of all possible histogram shapes; generating with a second method a second set of all possible histogram shapes exactly, or at most, any finite subset of, any prescribed finite positive integer number or numbers of bins for the data sample via the histogram application on the target network device, wherein the second method determines a second pre-determined ranking order of the second set of all possible histogram shapes; creating on the histogram application a third blended set of possible histogram shapes by selecting generated histogram shapes from the first set of all possible histogram shapes that include highest rankings from the first pre-determined ranking order and generated histogram shapes from the second set of all possible histogram shapes that include highest rankings from the second pre-determined ranking order, wherein a histogram shape that includes a highest ranking in a pre-determined ranking order includes a first non-empty subset in a set of generated histogram shapes and wherein the histogram shape that includes the first non-empty subset may occur anywhere in the ranking order; and displaying a graphical histogram of the data sample using the third blended set of all possible histogram shapes via the histogram application on a graphical user interface on the target device, thereby creating the graphical histogram with a new set of all possible histogram shapes based on an aggregate rakings order of histogram shapes from the first method and the second method.