Question

Maria wants to know if the number of words on a page in her earth 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, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.

Picture will be attached!

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

Answer 1

Am I right with D?

Answer 2

@az

Answer 3

@az you there?

Answer 4

I feel like I've seen this question before recently

You are indeed correct. Although the mean is higher, the MAD is huge too which tells us that there is a lot of variablity

So while the Earth Science book may have more words in the entire book, it won't necessarily have more words per page with that much variability compared to the math book

Answer 5

Okay, thank you so much

Answer 6

You're welcome!