The lengths of the first 10 words of 2 books are listed below. Find the range, v
ID: 3060486 • Letter: T
Question
The lengths 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: 8 6 2 11 3 6 12 8 8 11
Book 2: 5 3 5 6 6 6 2 2 5 5
Find the range for book 1, Range = letters
Find the range for book 2. Range = letters
Find the variance and standard deviation for book 1.
sample variance = letters2 (Round to one decimal place as needed)
sample standard deviation = letters (Do not round until the final answer. Then round to one decimal place as needed)
Is there a difference in variance between the two books?
Yes, there is much less variation among the word lengths in book 2.
No, there is not a difference in the variance.
Yes, there is much less variation among the word lengths in book 1.
Explanation / Answer
The statistical software output for this problem is:
Summary statistics:
Hence,
Range for book 1 = 10
Range for book 2 = 4
Sample variance for book 1 = 11.2
Sample variance for book 2 = 2.5
Sample standard deviation for book 1 = 3.3
Sample standard deviation for book 2 = 1.6
Yes, there is much less variation among the word lengths in book 2.
Column Range Variance Std. dev. Book 1 10 11.166667 3.3416563 Book 2 4 2.5 1.5811388Related Questions
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