Complete question :
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?
Yes, because the mean is larger in the art book
No, because the mean is larger in the art book
Yes, because there is a lot of variability in the art book data
No, because there is a lot of variability in the art book data
Answer:
No, because there is a lot of variability in the art book data
Step-by-step explanation:
Given the data:
Book Mean Median Mean Absolute Deviation
Art __68.7 ___50 ________15.4
Science 54.2 _55 ________7.9
To make our conclusion based on data; Even though te mean number of words in the art book is greater than that of the science book, we may not be able to conclude that the mean number of words on each page of the art book is greater because the mean absolute deviation value which is a measure of the variability of the data is clearly greater for the art book than the science book. With this, we cannot make a valid inference that mean number of words on each page of the art book is greater than the science book.
