Question

The following data show the height, in inches, of 11 different garden gnomes:

2


9


1


23


3


7


10


2


10


9


7


After removing the outlier, what does the mean absolute deviation of this data set represent?

Answer 1

I could take picture of question if needed?

Answer 2

@Kash_TheSmartGuy

Answer 3

Please help me.

Answer 4

What do you think is the outlier?

Answer 5

Tbh: I'm not sure

Answer 6

It's 23.

Answer 7

To determine the MAD of the data, add all the data together and divide by 11.

Answer 8

You tell me what the outcome of that^

Answer 9

@KAKES1967

Answer 10

ok

Answer 11

I'm not gonna help you if you're not involved.

Answer 12

7.54?

Answer 13

I added it all up i got 83

Answer 14

@Kash_TheSmartGuy

Answer 15

Cool, now subtract the outlier from it, which is 23.

Answer 16

23-7.54=15.46

Answer 17

@Kash_TheSmartGuy

Answer 18

No, subtract 23 from 83, which gives you 60. Divide 60 by 10.

Answer 19

6

Answer 20

Now, subtract each set of data except for the outlier from 6 (6-2, 6-1, 6-9..)do not subtract 23.

Answer 21

4, 5, 3

Answer 22

No, not from just the three of them, all of them (6-2, 6-9, 6-1, 6-3, 6-7, 6-10, 6-2, 6-10, 6-9, 6-7)

Answer 23

Note: Negative answers are allowed.

Answer 24

4, -3, 5, 3, -1, -4, 4, -4, -3, -1

Answer 25

Now, find the absolute value of the data. That is to drop all the negative signs in the data. Any negative number will become positive and positives will stay positive.

Answer 26

That would result in: 4, 3, 5, 3, 1, 4, 4, 4, 3, 1.

Answer 27

@KAKES1967 , you following?

Answer 28

Yes i am paying attention

Answer 29

Now, add all this together: 4, 3, 5, 3, 1, 4, 4, 4, 3, 1 and tell me what you get

Answer 30

32

Answer 31

Now divide 32 by 10, you get 3.2 right?!

Answer 32

Yes

Answer 33

so 3.2 and 6

Answer 34

No. Just 3.2 Forget about 6.

Answer 35

3.2 is your Mean Absolute deviation. It determines the distance between the mean and the average of the data.

Answer 36

You get it?

Answer 37

Yes i get it. thanks