Final answer:
About 68% of the organ weights for adult males will fall between 305 grams and 355 grams, as calculated using the Empirical Rule and one standard deviation from the mean of 330 grams.
Step-by-step explanation:
According to the Empirical Rule (also known as the 68-95-99.7 rule), about 68% of the data in a bell-shaped, symmetric distribution falls within one standard deviation of the mean. In the case of the organ weights for adult males, with a mean of 330 grams and a standard deviation of 25 grams, we can calculate the weights between which approximately 68% of organs will be.
To find this range, we add and subtract one standard deviation from the mean:
- Lower bound = Mean – Standard deviation = 330g – 25g = 305g
- Upper bound = Mean + Standard deviation = 330g + 25g = 355g
Therefore, about 68% of the organs will weigh between 305 grams and 355 grams.
The question asks you to use the empirical rule to determine the weights between which about 68% of organs will fall. The empirical rule states that for data that is bell-shaped and symmetric, approximately 68% of the data will fall within one standard deviation of the mean.
In this case, the mean weight of the organs is 330 grams and the standard deviation is 25 grams. Therefore, about 68% of the organs will fall within one standard deviation of the mean, which is from 305 grams to 355 grams.