Bunuel
Dataset W: –9, –3, 3, 9
Dataset X: 2, 4, 6, 8
Dataset Y: 100, 101, 102, 103
Dataset Z: 7, 7, 7, 7
Which of the following choices lists the four datasets above in order from least standard deviation to greatest standard deviation?
(A) Z, W, X, Y,
(B) Z, W, Y, X
(C) Z, Y, W, X
(D) Z, Y, X, W
(E) Z, X, Y, W
Standard deviation is the SPREAD of each element from average..
greater the spread more the SD, lesser the spread, smaller the SDDataset W: –9, –3, 3, 9...........................Biggest spread, largest SD
Dataset X: 2, 4, 6, 8................................range is 6, so SD<W
Dataset Y: 100, 101, 102, 103...................Range is just 3, so SD is >z but < than X and Y
Dataset Z: 7, 7, 7, 7................................ No spread so SD is 0
Also are in AP..
Z has 0 difference, Y has 1, X has 2 and W has 6
sequence in ascending order = Z, Y, X, W
D