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A simple random sample of pages from a particular dictionary was obtained. Liste

ID: 3251816 • Letter: A

Question

A simple random sample of pages from a particular dictionary was obtained. Listed below are the numbers of words defined on those pages. Find the (a) mean, (b) median (c) mode, and (d midrange for the given sample data. Given that this dictionary has 1,458 pages with defined words, estimate the total number of defined words in the dictionary. ls that estimate likely to be an accurate estimate of the number of words in the English language? 51 63 39 44 35 59 70 43 55 82 a. The mean is words per page. (Type an integer or a decimal.) b. The median is words per page (Type an integer or a decimal.) c. Select the correct choice below and fill in any answer boxes in your choice O A. The mode is words per page

Explanation / Answer

Numbers in ascending order

35 39 43 44 51 53 55 59 70 82

a) Mean = (51 + 53 +39 + 44 + 35 + 59 + 70 + 43 + 55 + 82)/10 = 53.1

b) Median = (51+53)/2 = 52.5

c) Mode - does not exist

d) Midrange = (82+35)/2 = 58.5

Estimated number of wors in the dictionary = 1458x53.1 = 77,420

C. No, because the sample in the problem is too small to accurately represent the population

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