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The length of the first 10 words of 2 books are listed below

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The length of the first 10 words of 2 books are listed below. Find the range, variance, and standard deviation for 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?

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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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Anwesha Ghosh, MSc
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  • MSc, Osmania University
  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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