sat suite question viewer
| Group | Sample size | Mean (centimeters) | Standard deviation (centimeters) |
| A | 2,500 | 186 | 12.5 |
| B | 2,500 | 186 | 19.1 |
The results of two independent surveys are shown in the table below.
Which statement is true based on the table?
Explanation
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.
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 is incorrect. Without knowing the maximum value for each data set, it’s impossible to know which group contained the tallest participant. 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.