Question

PLZ HELP!!! Melissa wants to know if the number of words on a page in her geography 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, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.

Mean Median Mean Absolute Deviation
Geography 48.9 41 9.2
Math 34.5 44 1.9

She claims that because the mean number of words on each page in the geography book is greater than the mean number of words on each page in the math book, the geography book has more words per page. Based on the data, is this a valid inference?
A. Yes, because the mean is larger in the geography book
B. No, because the mean is larger in the geography book
C.No, because there is a lot of variability in the geography book data
D. Yes, because there is a lot of variability in the geography book data

Answer 1

C. No, because there is a lot of variability in the geography book data

Explanation:

Answer 2

I think the answer is C, but I could be wrong.

I think this because just the mean of the random 25 pages, isn't going to be completely reliable. There maybe be a section in the geography book that explains a simple concept that doesn't require many words to describe. But there could also be a section describing a very difficult concept that would take lots of words to explain.

Hope this helps! :)