How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2? Set 1: 82, 80, 90Set 2: 82, 80, 60, 90The MAD of set 1 is 6 less than the MAD of set 2.The MAD of set 1 is 5 less than the MAD of set 2.The MAD of set 1 is 5 more than the MAD of set 2.The MAD of set 1 is 6 more than the MAD of set 2.
Question
Answer:
Set 1: 82, 80, 90n=3
Mean=(82+80+90)/3=252/3→Mean=84
Absolute Value: AV
MAD=[AV(82-84)+AV(80-84)+AV(90-84)]/3
MAD=[AV(-2)+AV(-4)+AV(6)]/3
MAD=(2+4+6)/3
MAD=12/3
MAD=4
Set 2: 82, 80, 60, 90
n=4
Mean=(82+80+60+90)/4=312/4→Mean=78
Absolute Value: AV
MAD=[AV(82-78)+AV(80-78)+AV(60-78)+AV(90-78)]/4
MAD=[AV(4)+AV(2)+AV(-18)+AV(12)]/4
MAD=(4+2+18+12)/4
MAD=36/4
MAD=9
MAD of set 2 - MAD of set 1 = 9-4=5
Answer: Second option: The MAD of set 1 is 5 less than the MAD of set 2.
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