The data for two athlete groups, Group X and Group Y, representing the number of push-ups each athlete completed in one minute, are described below.
Group X: The data consists of one dot at 20, one dot at 21, two dots at 22, three dots at 23, two dots at 24, one dot at 25, and one dot at 26.
Group Y: The data consists of one dot at 18, one dot at 19, one dot at 20, one dot at 21, three dots at 23, one dot at 25, one dot at 26, one dot at 27, and one dot at 28.
Which statement best compares the standard deviations of the numbers of push-ups completed for these two groups?
The standard deviation of the number of push-ups completed for Group X is less than the standard deviation of the number of push-ups completed for Group Y.
The standard deviation of the number of push-ups completed for Group X is equal to the standard deviation of the number of push-ups completed for Group Y.
The standard deviation of the number of push-ups completed for Group X is greater than the standard deviation of the number of push-ups completed for Group Y.
There is not enough information to compare these standard deviations.
