Answer:
The Mean Absolute Deviation of Set 1 is 13 more than the mean absolute deviation of Set 2.
Step-by-step explanation:
Set 1: 12, 8, 10, 50
Set 2: 13, 9, 8
Step 1:We determine the mean for each set
Mean of Set 1: [tex]=\dfrac{12+8+10+50}{4} =\dfrac{80}{4}=20[/tex]
Mean of Set 2:[tex]=\dfrac{13+9+8}{3} =\dfrac{30}{3}=10[/tex]
Step 2: We determine the mean absolute deviation (MAD) of the data in each set.
M.A.D of Set 1: [tex]=\dfrac{|12-20|+|8-20|+|10-20|+|50-20|}{4} =\dfrac{8+12+10+30}{4}=\dfrac{60}{4}=15[/tex]
Mean of Set 2:[tex]=\dfrac{|13-10|+|9-10|+|8-10|}{3} =\dfrac{3+1+2}{3}=\dfrac{6}{3}=2[/tex]
The Mean Absolute Deviation of Set 1 is 13 more than the mean absolute deviation of Set 2.
