Final Answer:
The mean weight of nineteen-year-old males is approximately 177 pounds.
Explanation:
To find the mean weight, we can use the fact that 73% of nineteen-year-old males weigh at least 163 pounds. Given this, it implies that 27% of males weigh less than 163 pounds. Assuming 73% represents the heavier portion, it’s reasonable to infer that this group's weight would exceed the mean weight. If 73% is at least 163 pounds, then 27% would likely be lower than this weight.
The calculation involves distributing the weights of this remaining 27% across the entire male population, pushing the mean weight higher. Therefore, the mean weight is estimated to be around 177 pounds, considering the majority of individuals weigh more than 163 pounds.
This estimation accounts for the higher weight of the majority (73%) to arrive at the mean. Such an approach assumes a symmetrical distribution of weights around the mean, which is commonly the case in statistical analysis when exact figures are unavailable but proportions are given.