Me 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 median for data set b. a. less than b. equal to c. greater than the mean for data set a the mean for data set b. a. less than b. equal to c. greater than

The median number of a set is the middle value, if there is an odd amount of numbers, or the average of the middle two numbers if there is an even amount of numbers

For set A there are 6 numbers, so find the middle 2 numbers and average them:
 The middle 2 numbers are 24 and 28, the average is (24 +28) /2 = 52/2 = 26

For set B there are 6 numbers, so find the middle 2 numbers and average them:
 The middle 2 numbers are 21 and 25, the average is (21 +25) /2 = 46/2 = 23

The median for set A is greater than the median for set B

The mean of a set of numbers is the average, so you would add them together and divide by the amount of numbers:

The mean for data set A = 14 + 21 + 24 +28 +28 +35 = 150 / 6 = 25

The mean for data set B = 18 + 19 +21 +25 +29+32 = 144 / 6 = 24

 The mean for data set A is greater than the mean for data set B