Regarding the population density... according to the world generation rules (which after all are supposed to mirror the reality of the OTU), population density is distributed:
1/36 pop A worlds
2/36 pop 9 worlds
3/36 pop 8 worlds
...
1/36 pop 0 worlds
The population multiplier gives you an average result of 4.6 ((1+2+3+4+5+6+7+8+9+1)/10), so the average pop A world has 46 billion inhabitants, and so on.
So the average planetary population is
46 bn*(1/36)+4.6 bn*(2/36)+...+4.6*(1/36)
or about 1.2777 bn+0.2555 bn+0.0388bn+0,0051bn, plus some small change, which adds up to a bit less than 1.6 billion.
That means about 80% of the population lives on pop A worlds (which make up about 2.8% of all worlds), about 15% on pop 9 worlds (5.6% of all worlds), and 5% on the remaining 91.6% of all worlds.
The median planetary population, meaning half of all planets have more people and half have less, should be 400,000 or 500,000 people.
1/36 pop A worlds
2/36 pop 9 worlds
3/36 pop 8 worlds
...
1/36 pop 0 worlds
The population multiplier gives you an average result of 4.6 ((1+2+3+4+5+6+7+8+9+1)/10), so the average pop A world has 46 billion inhabitants, and so on.
So the average planetary population is
46 bn*(1/36)+4.6 bn*(2/36)+...+4.6*(1/36)
or about 1.2777 bn+0.2555 bn+0.0388bn+0,0051bn, plus some small change, which adds up to a bit less than 1.6 billion.
That means about 80% of the population lives on pop A worlds (which make up about 2.8% of all worlds), about 15% on pop 9 worlds (5.6% of all worlds), and 5% on the remaining 91.6% of all worlds.
The median planetary population, meaning half of all planets have more people and half have less, should be 400,000 or 500,000 people.