The Group A data set was identical to the Group B data set.
Group B contained the tallest participant.
The heights of the men in Group B had a larger spread than the heights of the men in Group A.
The median height of Group B is larger than the median height of Group A.
Explanation
Correct answer: C.
Choice C is correct. Standard deviation is a measure of spread, so data sets with larger standard deviations tend to have larger spread. The standard deviation of the heights of the men in Group B is larger than the standard deviation of the heights of the men in Group A. Therefore, the heights of the men in Group B had a larger spread than the heights of the men in Group A.
Desmos solution:
Note: The standard deviation values are entered directly; Group B’s standard deviation (19.1) is larger than Group A’s (12.5), so Group B has a larger spread.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. If two data sets are identical, they will have equivalent means and equivalent standard deviations. Since the two data sets have different standard deviations, they cannot be identical.
Choice B
Choice B is incorrect. Without knowing the maximum value for each data set, it's impossible to know which group contained the tallest participant.
Choice D
Choice D is incorrect. Since the means of the two groups are equivalent, the medians could also be the same or could be different, but it's impossible to tell from the given information.