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

book mean median mean absolute deviation
math 49.9 43 10.2
poetry 41.5 42 1.1

kim claims that because the mean number of words on each page in the math book is greater than the mean number of words on each page in the poetry book, the math book has more words per page. based on the data, is this a valid inference?

a: no, because there is a lot of variability in the math book data
b: no, because the mean is larger in the math book
c: yes, because the mean is larger in the math book
d: yes, because there is a lot of variability in the math book data