Answer
(a)
Greatest sample standard deviation: (ii)
Least sample standard deviation: (iii)
(b)
Same mean, median, and mode; different standard deviation.
Work Step by Step
(a)
Greatest sample standard deviation: (ii)
Data set (ii) has more entries that are farther away from the mean.
Least sample standard deviation: (iii)
Data set (iii) has more entries that are close to the mean.
(b) The three data sets have the same mean, median, and mode, but have a different standard deviation.
