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

Question

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

Vocaloid · Answer

Notice that the absolute deviation for the geography data is significantly higher than the deviation for the math data. What does that tell you about the variability of each data set?