Question

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? 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.

Answer 1

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