Magdeline wants to know if the number of words on a page in her art book is generally more than the number of words on a page in her science book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.

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Magdeline wants to know if the number of words on a page in her art book is generally more than the number of words on a page in her science book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.

Mathematics
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Book Mean Median Mean Absolute Deviation Art 68.7 50 15.4 Science 54.2 55 7.9 She claims that because the mean number of words on each page in the art book is greater than the mean number of words on each page in the science book, the art book has more words per page. Based on the data, is this a valid inference? Yes, because the mean is larger in the art book No, because the mean is larger in the art book Yes, because there is a lot of variability in the art book data No, because there is a lot of variability in the art book data

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Yes, because the mean is larger in the art book. Mean is the average in other words so greater average would infer greater quantity in whole
no
there is a lot of variability
Variability doesn't really matter because mean is the average. No matter how much the number varies if she knows the mean then mean is more accurate than variable.
yes it does
because the mean it affected by outliers
average is affected easily
example: the average of 5,5,5,100
40
here is one outlier,100 it affects the whole average
It does, but still within the sample.
ok so its either B or D right?
the answer would be D
ok thank you! :)
for sure
I am on your boat too
Nice explanation:)
thank you @Robert136
No you were right in considering the median absolute deviation:)

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