When we are talking of populations their proprieties can be divided into two great categories, structure and dynamics, in the first case we are talking of numbers of individuals, like sex proportion or density. In the second case, we are talking of something subjected to periods of time, like growth rate or immigration. Therefore when we analyze the possible statements we have.
First statemnt: Births, deads, offspring, this one is partially correct, birth rate and death rate are properties, nonetheless, offspring per se it is not, in this case, is the survival rate.
Second statement: carrying capacity, growth rate, density, although the last two are correct, carrying capacity is a property of the ecosystem, not the population.
Third statement: health, reproduction, growth. This one must be approached carefully, reproduction and growth are correct, and health is directly related to survival rate, nonetheless, it is not taken into consideration health alone as a population property.
Fourth statement: Size, density, dispersion. This one has three elements of structure in populations, size is about the number of individuals that integrate it, density is related to the same concept but in a certain area. and dispersion is about their horizontal distribution, it is grouped, random or uniform. Therefore this last statement is the one that has population properties.