What are the similarities and differences between these data sets in terms of their centers and their variability? data set a: 14, 21, 24, 28, 28, 35 data set b: 18, 19, 21, 25, 29, 32 select from the drop-down menus to correctly complete the statements. comparing the centers of the data sets, the median for data set a is (less than, greater than, equal to) the median for data set b. the mean for data set a is (less than, greater than, equal to) the mean for data set b.

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the distribution of act scores in recent years has been roughly normal with mean µ = 20.9 and standard deviation s = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean µ = 1026 and standard deviation s = 209. reports on a student's act or sat usually give the percentile as well as the actual score. the percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. tanya scores 1260 on the sat. what is her percentile (± 1)?