<h1>BIE product histograms</h1>

Using the values 1 through 5 as the range for each of Breadth, Impact and Ease, the product of the three yields values from 1 through 125. Out of curiosity, I determined the unique values (by spreadsheet enumeration) and made histograms of them.

<h2>Values</h2>

It turns out there are 30 unique values.

<pre>
Value   Frequency               Percentile              Value   Frequency
1       1       *               1%                      12      9       *********
2       3       ***             3%                      20      9       *********
3       3       ***             6%                      8       7       *******
4       6       ******          10%                     4       6       ******
5       3       ***             13%                     6       6       ******
6       6       ******          18%                     10      6       ******
8       7       *******         23%                     15      6       ******
9       3       ***             26%                     16      6       ******
10      6       ******          30%                     24      6       ******
12      9       *********       38%                     30      6       ******
15      6       ******          42%                     40      6       ******
16      6       ******          47%                     60      6       ******
18      3       ***             50%                     2       3       ***
20      9       *********       57%                     3       3       ***
24      6       ******          62%                     5       3       ***
25      3       ***             64%                     9       3       ***
27      1       *               65%                     18      3       ***
30      6       ******          70%                     25      3       ***
32      3       ***             72%                     32      3       ***
36      3       ***             74%                     36      3       ***
40      6       ******          79%                     45      3       ***
45      3       ***             82%                     48      3       ***
48      3       ***             84%                     50      3       ***
50      3       ***             86%                     75      3       ***
60      6       ******          91%                     80      3       ***
64      1       *               92%                     100     3       ***
75      3       ***             94%                     1       1       *
80      3       ***             97%                     27      1       *
100     3       ***             99%                     64      1       *
125     1       *               100%                    125     1       *
</pre>

The median value of the product is only 18, which may substantially skew the reader's perception of the product rankings. For example, 62 might seem like a "middling" value between 1 and 125, but it is actually in the 91st percentile of possible values.

<h2>Color schemes</h2>

Using the source] for decent color coding schemes, here are two suggested colorings by priority triple product:

<table>

bgcolor="#fc8d59">#fc8d59 stop</td><td bgcolor="#67a9cf">#67a9cf
bgcolor="#fee08b">#fee08b careful</td><td bgcolor="#d1e5f0">#d1e5f0
bgcolor="#ffffbf">#ffffbf well</td><td bgcolor="#f7f7f7">#f7f7f7
bgcolor="#d9ef8b">#d9ef8b ok</td><td bgcolor="#fddbc7">#fddbc7
bgcolor="#91cf60">#91cf60 GO!</td><td bgcolor="#ef8a62">#ef8a62
</table>


The stop-n-go is the center five values of "7-Class Diverging RYG".
The temperature is the center five values of "7-Class Diverging RdBu".

<h2>BIE Interpretation</h2>

<table>

-- Can't use the product</td><td>Trivial -- Edit and
<tr><td>4</td><td>Most -- Think, edit, and
<tr><td>3</td><td>Many Users</td><td>Moderate -- Major annoyance</td><td>Moderate -- Substantial new
<tr><td>2</td><td>Few Users</td><td>Minor -- Easy workaround</td><td>Hard -- Research and/or
<tr><td>1</td><td>Only me</td><td>Hardly -- Barely notice</td><td>Impossible -- No idea how to
</table>