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? 33 6 80 3 32 75 98 10 71 19 9 range = 95.0 (round to one decimal place as needed.) sample standard deviation = 34.9 (round to one decimal place as needed.) sample variance = 1208.9 (round to one decimal place as needed.) what do the results tell us? a. jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless. 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. the sample standard deviation is too large in comparison to the range

Explanation:

Step1: Understand nominal data

Nominal data is used for labeling or naming. Jersey numbers are just labels for players (like names). They don't have a numerical value in terms of quantity (e.g., a player with jersey number 80 is not "more" than a player with jersey number 3 in a numerical sense).

Step2: Analyze statistical meaning

Since jersey numbers are nominal, calculating range, variance, and standard - deviation (which are measures for numerical data with quantitative meaning) is not meaningful.

Answer:

A. Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.