Question

What is the means-to-MAD ratio of the two data sets, expressed as a decimal to the nearest tenth?



Data Set 1: {43, 42, 56, 62, 72}
Data Set 2: {76, 57, 81, 51, 70}

Answer 1

@PizzaLover123 @Pocarii @IrishBoy123

Answer 2

@iGreen

Answer 3

................................

Answer 4

MAD is mean absolute deviation; absolute deviation of a value is the absolute value of the difference between the value and some reference point (in this case, data set mean).

for data set 1 we have {43, 42, 56, 62, 72} so our mean is $$\frac15(43 + 42 + 56 + 62 + 72)=55$$so our absolute deviations are \(|43-55|=12, |42-55|=13, |56-55|=1, |62-55|=7, |72-55|=17\)

hence our mean absolute deviation is $$\frac15(12+13+1+7+17)=10$$so the mean-to-MAD ratio is \(55/10=5.5\) or if you meant the MAD-to-mean ratio we have \(10/55=2/11\approx0.182\)

Answer 5

so its 0.182

Answer 6

that's for data set 1; not sure what you want between the sets

Answer 7

is it

Answer 8

ok

Answer 9

so overall its 5.5