Magdeline wants to know if the number of words on a page in her computer science book is generally more than the number of words on a page in her math 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.

Book Mean Median Mean Absolute Deviation
Computer science 48.7 40 9.4
Math 34.2 45 1.9

She claims that because the mean number of words on each page in the computer science book is greater than the mean number of words on each page in the math book, the computer science book has more words per page. Based on the data, is this a valid inference? (10 points)

Yes, because there is a lot of variability in the computer science book data
Yes, because the mean is larger in the computer science book
No, because the mean is larger in the computer science book
No, because there is a lot of variability in the computer science book data

No, because there is a lot of variability in the computer science book data. The mean absolute deviation for the computer science book is much larger than for the math book, indicating that the data points are more spread out. Therefore, the mean alone may not be a reliable indicator of which book has more words per page.