# Histograms and other plots to judge and analyze data

I have a variable that changes over time. Let's call this variable "the error". I use a histogram to graph how many of intervals of error has occurred. For example

Here you can see that a particular error of 0.1 has occurred almost 1500 times and another of [0.1,0.2] has occurred a little less (like 1400 times) etc.

I have two questions:

1. If I have another instance of this histogram for a different set of data, and the histogram is similar but with some slight difference in the values, how can I judge which case "is better"? (In general a case is better when the error is less)

2. What other plots (or means?) can I use to judge whether set A (with its errors) or set B (with its own errors) is better?

Thanks

• Have you considered a QQ plot?
– whuber
Commented Oct 1, 2023 at 14:14
• Am I right that you are asking how you can decide whether one distribution by and large has lower values ("errors") in it than the other? This would require that you aggregate these distributions into single numbers that you compare. The most popular way for doing this would be to compute error means (or means of squared errors if these are statistical errors) and compare them, although there are alternatives. Commented Oct 1, 2023 at 14:34
• @whuber I did not know what QQ plots were. So I am reading about them. How can they serve in this case? (The definition of qq plot says "we use them to determine to what extent the observed data points do or do not follow a given distribution" Commented Oct 10, 2023 at 10:22