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?

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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?

Mathematics
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What do you think is the outlier?
Tbh: I'm not sure
It's 23.
To determine the MAD of the data, add all the data together and divide by 11.
You tell me what the outcome of that^
ok
I'm not gonna help you if you're not involved.
7.54?
I added it all up i got 83
Cool, now subtract the outlier from it, which is 23.
23-7.54=15.46
No, subtract 23 from 83, which gives you 60. Divide 60 by 10.
6
Now, subtract each set of data except for the outlier from 6 (6-2, 6-1, 6-9..)do not subtract 23.
4, 5, 3
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)
Note: Negative answers are allowed.
4, -3, 5, 3, -1, -4, 4, -4, -3, -1
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.
That would result in: 4, 3, 5, 3, 1, 4, 4, 4, 3, 1.
@KAKES1967 , you following?
Yes i am paying attention
Now, add all this together: 4, 3, 5, 3, 1, 4, 4, 4, 3, 1 and tell me what you get
32
Now divide 32 by 10, you get 3.2 right?!
Yes
so 3.2 and 6
No. Just 3.2 Forget about 6.
3.2 is your Mean Absolute deviation. It determines the distance between the mean and the average of the data.
You get it?
Yes i get it. thanks

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