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)
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.
Yes, because the mean is larger in the planetary science book.
No, because the mean is larger in the planetary science book.
1 answer
No, because there is a lot of variability in the planetary science book data. The mean absolute deviation for the planetary science book is much larger than for the math book, indicating a higher level of variability in the data. This means that the mean may not accurately represent the typical number of words on a page in the planetary science book compared to the math book.