Kelly wants to know if the number of words on a page in her geometry 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, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book. Geometry -Mean42.9 Median40 MAD1.2 Science 48.5 42 9.3 Kelly claims that because the mean number of words on each page in the science book is greater than the mean number of words on each page in the geometry book, the science book has more words per page.
Based on the data, is this a valid inference? No, because the mean is larger in the science book No, because there is a lot of variability in the science book data Yes, because the mean is larger in the science book Yes, because there is a lot of variability in the science book data
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Notice that the MAD for Science overlaps the mean and median values of the Geometry book: |dw:1435586672520:dw| Therefore, because of the large dispersion in science words, you can not say there are more words in science books vs geometry book
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