Automated searching with varied distances, part 2

Still working with Leo IV. 

First, a familiar pair of graphs. Left graph is distance modulus being tested versus size of stellar population it selects. Right graph is distance modulus versus the calculated "metric" for that distance. The "metric" sums 3*(value of highest density histogram bin) + 2*(value of 2nd highest) + 1*(value of 3rd highest).

Using this data, I then try to calculated an estimated distance modulus for Leo IV.

The "adjusted metric" at the bottom is the estimated distance I come up with as a final answer: 21.00 (actual value = 20.98). This is very accurate for Leo IV, but quite possibly will not work well for other dwarfs.

How this is calculated:

First the distance which gives the highest weighted metric (i.e, greatest y-value on the right graph) is the first part (= 20.50 for Leo IV).

Second, the distance which has a local maxima of stellar population size (local max y-value on left graph) is found (= 21.50 for Leo IV).

These two are then averaged to find the final estimated distance (=21.00 for Leo IV).