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Statistics are sometimes used to compare or identify authors of different works.

ID: 3203917 • Letter: S

Question

Statistics are sometimes used to compare or identify authors of different works. The lengths of the first 10 words in a book by Terry are listed with the first 10 words in a book by David. Find the mean and median for each of the two samples, then compare the two sets of results. The mean number of letters per word in Terry's book is. The median number of letters per word in Terry's book is. The mean number of letters per word in David's book is. The median number of letters per word in David's book is. Compare the two sets of results. Does there appear to be a difference? Yes. Based on the results, words in Terry's book are shorter than the words in David's book. Yes. Based on the results, words in Terry's book are longer than the words in David's book. No. Based on the results, words in Terry's book are the same length as the words in David's book.

Explanation / Answer

Mean number of letters per word(Terry) = Total number of letters per word/ Total number of words = 3.4

Median number of letters per word(Terry)= First arrange in assending order and then calculate mean of middle two numbers = 2

Mean number of letters per word(David) = Total number of letters per word/ Total number of words = 2.3

Median number of letters per word(David)= First arrange in assending order and then calculate mean of middle two numbers = 2

Thus comparing means we can conclude that B is the answer