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Please explain the PHYSICAL meaning of your description of the X axis. I’m an engineer and look at plots all day, but am befuddled by the X axis here. I don’t get the connection between precincts and 1- 9 scale. Probably over-thinking this...

Regardless, Biden’s frequencies are substantially out of whack with the log-normal distributions that are dictated by nature in LEGITIMATE population data. If I presented a plot with Biden’s skew at work, I’d be laughed out of the room and accused of data manipulation.

The x-axis is digit 1-9. The y-axis is the frequency that ted digit occurs at the first position of the numbers in the number set. The number set consist of all the tallies reported since 11/3/20 from the indicated voting precincts.

Benham's law is related solely to the frequency of digits appearing in data. Its shape is a function of the base of the number system, and the probability of each digit appearing. Originally it was derived from large sets of data where the points are randomly distributed over a power law function.

So the X-AXIS values have no physical meaning, they are just the digits 1 - 9. The Y-AXIS is the number of times that the digit appears in the set of measurements. In this case, the measurements are the number of votes for each candidate.

The reason I asked for FReepers with statistical analysis skills to look at this data is that we should be able to see if the distribution of digits in the polling place data is reasonable. In other words, are we really seeing the measurement of the voter's actions, or are we seeing the result of fraudulent activity.

I posted another analysis earlier of what values were present in the last two digits of the precinct data from the 478 precincts in Minneapolis. In that case one would expect a nearly random distribution of values, but the 00 value appears 14 times.

That may be just a statistical fluke, but figuring out the chance of that happening would be a worthwhile effort.

Doing similar basic analysis of data for consistency and reasonableness in contested areas would be a good idea.

Please explain the PHYSICAL meaning of your description of the X axis. I’m an engineer and look at plots all day, but am befuddled by the X axis here. I don’t get the connection between precincts and 1- 9 scale. Probably over-thinking this...

It's not a connection between precincts specifically and the 1-9, it's the connection between the liklihood of counting numbers to start with a certain digit, and the fact that vote totals are a counting number. My post #59 gives some detailed example.