What is the means-to-MAD ratio of the two data sets, expressed as a decimal to the nearest tenth? Data Set 1: {85, 83, 90, 70, 87} Data Set 2: {75, 74, 68, 83, 80}
we have to find the mean values of both data sets, first
do you know the first 1?
83
yes good job
do you know the second 1?
75
yes
now, we have to compute the MAD of each data set
for first data set, we have to compute these quantities: 85−83=...?83−83=...?90−83=...?70−83=...?87−83=...?
huh
85−83=2 83−83=0 90−83=7 70−83= -13 87−83=4
so the answer is 4?
Now we have to consider the absolute values of those quantities, so the MAD for first data set is given by the subsequent computation: MAD = 2 + 0 + 7 + 13 + 4 / 5 + ...? MAD=2+0+7+13+45=...? please note that I have considered +13, and not -13, since we have to keep the absolute values
26/5
MAD=26/5=5.2
then the ratio mean-to.-MAD, for first data set, is: 83/5.2=...?
15.96153846
15.96 rounded
thank u
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