Question

The following dot plot represents two data sets, A and B.

The mean of set B is about ______ (40, 50, 30) higher than the means of set A, which is about _______ (half, twice, the same as) the mean absolute deviation of either set.

Answer 1

30 , twice

Explanation:

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Answer 2

30, half

Explanation:

mean of A = (10*5+7*20+2*30+40+4*50+80)/20 = 28.5

mean of B = (2*20+40+5*50+3*60+8*70+80)/20 =57.5

difference =57.5-28.5 =29

mean absolute deviation = (the sum of every data point - mean)/total number

in this case,

MAD = 304/20 = 15.2