Question

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



Data Set 1: {14, 18, 21, 15, 17}
Data Set 2: {15, 17, 22, 20, 16}

Answer 1

@Kash_TheSmartGuy

Answer 2

@Michele_Laino

Answer 3

@phi

Answer 4

@surjithayer

Answer 5

did you find the mean of both data sets yet ? (the average)

Answer 6

17 and 18

Answer 7

@phi

Answer 8

do you know how to find mad?

Answer 9

for the mad, on data set 1, first find the median.
that means sort the numbers, and find the "middle" number on the sorted list.

Answer 10

i got 17 and 18 for the mean

Answer 11

Let's just do data set 1.
the mean is 17
I think the median is also 17:
14, 18, 21, 15, 17 becomes
14, 15, 17, 18, 21

Answer 12

notice 17 is the middle number after you sort the numbers small to big.

to find the MAD, find the difference between the median and each number on the list. Always do bigger number minus smaller number (in other words, we want the absolute value)
what new list of numbers do you get ?

Answer 13

it the same

Answer 14

yes, the median is also 17. now subtract 17 from each number on the list and take the absolute value. what is the new list?

Answer 15

1. is 3 14 - 17 is 3

Answer 16

like that @phi

Answer 17

or no

Answer 18

yes, but we want all five numbers

Answer 19

18-17=1

Answer 20

21-17=4

Answer 21

17-15=2

Answer 22

17-17=0

Answer 23

im done

Answer 24

now find the average of those 5 numbers:

Answer 25

all the number are 3 1 4 2 and 0

Answer 26

yes, find the average

Answer 27

3 + 1 +4 +2 +0 = 10 divde by 5 = 2

Answer 28

yes, now we write the ratio of mean 17 to MAD 2
17/2
or 8.5
that is the "mean to MAD ratio" for data set1

Answer 29

now what

Answer 30

now we do data set2
the mean of data set 2 is 18
I think we can use the mean to find the MAD:
subtract 18 from each number in data set2 and take the absolute value
then find the average of those numbers to get the MAD

Answer 31

18-15=3

Answer 32

18-17=1

Answer 33

22=18=4

Answer 34

20-18=2

Answer 35

18-16=2

Answer 36

im done @phi

Answer 37

ok, now what is the average of those?

Answer 38

2.4

Answer 39

so the MAD is 2.4
the mean-to-MAD ratio is 18/2.4

Answer 40

7.5

Answer 41

I think those are the answers: 8.5 for data set 1 and 7.5 for data set 2

Answer 42

i can only choose one answer

Answer 43

@phi

Answer 44

i can only choose one answer

Answer 45

oh. what are the choices?

Answer 46

i have no choices

Answer 47

now what @phi

Answer 48

I am assuming that each data set has its own mean-to-MAD ratio, so there are two answers (one for each data set)

If there is only one answer, then I don't understand the problem. If your book or notes have an example of this type of problem, maybe I can figure it out.

Answer 49

give me a sec

Answer 50

my only other thought is to lump all the numbers together and find the average of all 10 numbers, and the MAD, and then the mean-to-MAD ratio.

Answer 51

it its 7.5 two data sets, expressed as a decimal to the nearest tenth? two data sets