Question

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}

Answer 1

@Michele_Laino @misty1212

Answer 2

@Ashleyisakitty

Answer 3

@iambatman

Answer 4

@radar @thomaster

Answer 5

PLEASE PLEASE PLEASE HELP

Answer 6

please wait a moment

Answer 7

okay :)

Answer 8

we have to find the mean values of both data sets, first

Answer 9

the first one is 83

Answer 10

ok!
and what is the mean of the second data set?

Answer 11

the second one is 76

Answer 12

ok!

Answer 13

now, we have to compute the MAD of each data set

Answer 14

for first data set, we have to compute these quantities:
\[\begin{gathered}
85 - 83 = ...? \hfill \\
83 - 83 = ...? \hfill \\
90 - 83 = ...? \hfill \\
70 - 83 = ...? \hfill \\
87 - 83 = ...? \hfill \\
\end{gathered} \]

Answer 15

85−83=2
83−83=0
90−83=7
70−83= -13
87−83=4

Answer 16

ok! Now we have to consider the absolute values of those quantities, so the MAD for first data set is given by the subsequent computation:
\[\Large MAD = \frac{{2 + 0 + 7 + 13 + 4}}{5} = ...?\]
please note that I have considered +13, and not -13, since we have to keep the absolute values

Answer 17

26/5

Answer 18

ok! MAD=26/5=5.2

Answer 19

then the ratio mean-to.-MAD, for first data set, is:
83/5.2=...?

Answer 20

15.96153846

Answer 21

ok! 15.96

Answer 22

now, we have to compute these quantities:
\[\begin{gathered}
75 - 76 = ...? \hfill \\
74 - 76 = ...? \hfill \\
68 - 76 = ...? \hfill \\
83 - 76 = ...? \hfill \\
80 - 76 = ...? \hfill \\
\end{gathered} \]

Answer 23

so is the answer 15.96

Answer 24

ok!

Answer 25

is it ?

Answer 26

yes!

Answer 27

now we have to compute that above quantities, namely:
\[\begin{gathered}
75 - 76 = ...? \hfill \\
74 - 76 = ...? \hfill \\
68 - 76 = ...? \hfill \\
83 - 76 = ...? \hfill \\
80 - 76 = ...? \hfill \\
\end{gathered} \]

Answer 28

75−76=1
74−76=2
68−76=8
83−76=7
80−76=4

Answer 29

we have:
-1,
-2,
-8,
7,
4

Answer 30

now the MAD for second data set is:
\[MAD = \frac{{1 + 2 + 8 + 7 + 4}}{5} = ...?\]

Answer 31

4.4

Answer 32

ok!

Answer 33

so, the ratio mean-to-MAD for second distribution is:
76/4.4=...?

Answer 34

17.2

Answer 35

better is 17.3
furthermore, the ratio mean-to-MAD for first data set is 16.0, since we have to round off 15.96 to the nearest tenth

Answer 36

16.0

Answer 37

that's right!

Answer 38

can you help me i answered the questions i just need to see if they are right its 5 questions can you check them

Answer 39

ok!