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Megan wants to know if the number of words on a page in her English 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
English 49.7 41 8.4
Math 34.5 44 1.9
She claims that because the mean number of words on each page in the English book is greater than the mean number of words on each page in the math book, the English book has more words per page. Based on the data, is this a valid inference? Yes, because the mean is larger in the English book.
No, because the mean is larger in the English book.
No, because there is a lot of variability in the English book data.
Yes, because there is a lot of variability in the English book data.
Bot GPT 3.5
answered
No, because there is a lot of variability in the English book data.
Although the mean number of words on a page in the English book is higher than in the math book, the mean absolute deviation for the English book is also significantly higher, indicating that there is a lot of variability in the data. Therefore, it is not a valid inference to say that the English book generally has more words per page based solely on the mean values.