Math  /  Data & Statistics

Questionsuomiz quzz
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the givent sample dita that do the resuits tell us? 28138658979601159349\begin{array}{llllllllllll} 28 & 13 & 86 & 5 & 89 & 79 & 60 & 11 & 59 & 3 & 49 & \square \end{array}
Range == \square (Round to one decimal place as needed.)
Sample standard deviation == \square (Round to one decimal place as needed.)
Sample variance == \square (Round to one decimal place as needed.)
What do the results tell us? A. The sample standard deviation is too large in comparison to the range. B. Jersey numbers on a football team do not vary as much as expected. C. Jersey numbers on a football team vary much more than expected. D. Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

Studdy Solution
Interpret the results of the range, variance, and standard deviation.
The range indicates that the jersey numbers vary widely from the minimum to the maximum. The large variance and standard deviation suggest that the jersey numbers are spread out over a wide range.
Final Results: Range = 86.0
Sample variance = 1102.4 (rounded to one decimal place)
Sample standard deviation = 33.2 (rounded to one decimal place)
Interpretation: D. Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

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