Magdeline wants to know if the number of words on a page in her art book is generally more than the number of words on a page in her science book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.
Book Mean Median Mean Absolute Deviation
Art 68.7 50 15.4
Science 54.2 55 7.9
She claims that because the mean number of words on each page in the art book is greater than the mean number of words on each page in the science book, the art book has more words per page. Based on the data, is this a valid inference?
Group of answer choices
No, because there is a lot of variability in the art book data
Yes, because there is a lot of variability in the art book data
Yes, because the mean is larger in the art book
No, because the mean is larger in the art book
1 answer
No, because there is a lot of variability in the art book data. The mean absolute deviation for the art book is much higher than for the science book, indicating a higher variability in the number of words on each page. This means that simply comparing the means may not accurately represent the overall trend in the number of words per page.
1 answer