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}

- is3535

- schrodinger

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- is3535

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## More answers

- is3535

- phi

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

- is3535

17 and 18

- is3535

- anonymous

do you know how to find mad?

- phi

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.

- is3535

i got 17 and 18 for the mean

- phi

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

- phi

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 ?

- is3535

it the same

- phi

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?

- is3535

1. is 3 14 - 17 is 3

- is3535

like that @phi

- is3535

or no

- phi

yes, but we want all five numbers

- is3535

18-17=1

- is3535

21-17=4

- is3535

17-15=2

- is3535

17-17=0

- is3535

im done

- phi

now find the average of those 5 numbers:

- is3535

all the number are 3 1 4 2 and 0

- phi

yes, find the average

- is3535

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

- phi

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

- is3535

now what

- phi

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

- is3535

18-15=3

- is3535

18-17=1

- is3535

22=18=4

- is3535

20-18=2

- is3535

18-16=2

- is3535

im done @phi

- phi

ok, now what is the average of those?

- is3535

2.4

- phi

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

- is3535

7.5

- phi

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

- is3535

i can only choose one answer

- is3535

- is3535

i can only choose one answer

- phi

oh. what are the choices?

- is3535

i have no choices

- is3535

now what @phi

- phi

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.

- is3535

give me a sec

- phi

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.

- is3535

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

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