The length of the first 10 words of 2 books are listed below. Find the range, variance, and standard deviationfor each of the two samples, then compare the two sets of results. Does there appear to be a difference in variation?

Book 1 4 6 2 3 5 6 4 3 4 2

Book 2 12 6 11 10 9 8 10 10 4 10

Find the range for Book 1

Range = ______ letters

Find the range for Book 2

Range = ______ letters

Find the sample variance and sample standard deviation for Book 1.

Sample variance = ________ letters (round to one decimal place as needed)

Sample standard deviation = ________ letters

(Do not round until final answer. Then round to one decimal place as needed)

Find the sample variance and sample standard deviation for Book 2.

Sample variance = ________ letters(round to one decimal place as needed)

Sample standard deviation = ________ letters

(Do not round until final answer. Then round to one decimal place as needed)

Is there a difference in variation between the two books?

Solution:

Find the range for Book 1

Range = 4 letters

Find the range for Book 2

Range = 8 letters

Find the sample variance and sample standard deviation for Book 1.

Sample …

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