Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard devia
tion for the given sample data. What do the results tell us? 83 45 80 53 46 24 79 34 55 10 44 Rangeequals 73 (Round to one decimal place as needed.) Sample standard deviationequals 23.4 (Round to one decimal place as needed.) Sample varianceequals 547.2 (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 are nominal data that are just replacements for names, so the resulting statistics are meaningless. C. Jersey numbers on a football team do not vary as much as expected. D. Jersey numbers on a football team vary much more than expected.
1 answer:
Answer: B. Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.
Step-by-step explanation:
Given the following list of data:
83 45 80 53 46 24 79 34 55 10 44
Range :
(Highest - Lowest) value
83 - 10 = 73
Sample Variance :
[Summation of (x - mean)^2] / number of observation - 1
Mean = (83+45+80+53+46+24+79+34+55+10+44) / 11
= 553 / 11 = 50.3
Check attached picture for computation of variance and standard deviation.
In football, jersey numbers do not imply any statistical relevance or importance
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