Final answer:
The correct statement is D. Men's heights in country B are more variable than men's heights in country A.
Step-by-step explanation:
The correct statement is D. Men's heights in country B are more variable than men's heights in country A.
To determine which statement is true, we need to understand the measures of variability used to describe the distribution of men's heights. The IQR (interquartile range) measures the spread of the middle 50 percent of data, and a larger IQR indicates more variability. The range, on the other hand, measures the difference between the maximum and minimum values in the distribution, and a larger range indicates more variability as well. Lastly, the standard deviation measures the average distance between each data point and the mean, so a smaller standard deviation indicates less variability.
Based on the given information, we know that the IQR for country A is larger than the IQR for country B, and this implies that there is more variability in the middle 50 percent of men's heights in country A. Therefore, statement A is false. We don't have enough information to determine the range for each country, so statement B is inconclusive. Lastly, since the standard deviation for country B is smaller than the standard deviation for country A, we can conclude that men's heights in country B are more variable than men's heights in country A, making statement D true.