M07.D-S.2.1.1
Minnie wants to know if the number of words on a page in her planetary 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.
Mean Median Mean Absolute Deviation
Planetary science 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 planetary science book is greater than the mean number of words on each page in the math book, the planetary science book has more words per page. Based on the data, is this a valid inference?
(5 points)
Group of answer choices
No, because there is a lot of variability in the planetary science book data.
Yes, because there is a lot of variability in the planetary science book data.
No, because the mean is larger in the planetary science book.
Yes, because the mean is larger in the planetary science book.
No, because there is a lot of variability in the planetary science book data.
In this case, looking at just the mean number of words per page is not enough to make a valid inference. The mean absolute deviation for the planetary science book data is much higher than for the math book data, indicating that there is a lot of variability in the number of words on each page in the planetary science book. Therefore, Minnie cannot conclude that the planetary science book generally has more words per page based solely on the mean values.