Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us?
5 23 83 25 91 90 66 86 63 40 595 23 83 25 91 90 66 86 63 40 59
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Part 1
Rangeequals=8686
(Round to one decimal place as needed.)
Part 2
Sample standard
deviationequals=30.130.1
(Round to one decimal place as needed.)
Part 3
Sample
varianceequals=906.0906.0
(Round to one decimal place as needed.)
Part 4
What do the results tell us?
A.
The sample standard deviation is too large in comparison to the range.
B.
Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.
C.
Jersey numbers on a football team vary much more than expected.
D.
Jersey numbers on a football team do not vary as much as expected.