The data for two groups of students, Group X and Group Y, representing the number of books each student read last month, are described below.
Group X: The data consists of one dot at 1, two dots at 2, three dots at 3, two dots at 4, and one dot at 5.
Group Y: The data consists of three dots at 1, one dot at 2, one dot at 3, one dot at 4, and three dots at 5.
Which statement best compares the standard deviations of the numbers of books read by each student for these two groups?
The standard deviation of the number of books read for Group X is less than the standard deviation of the number of books read for Group Y.
The standard deviation of the number of books read for Group X is equal to the standard deviation of the number of books read for Group Y.
The standard deviation of the number of books read for Group X is greater than the standard deviation of the number of books read for Group Y.
There is not enough information to compare these standard deviations.
