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? 63 20 16 61 43 12 69 86 59 90 78
range = 78.0 (round to one decimal place as needed.)
sample standard deviation = 27.8 (round to one decimal place as needed.)
sample variance = 772.8 (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. the sample standard deviation is too large in comparison to the range
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.

Explanation:

Step1: Understand nominal data

Nominal data are labels. Jersey - numbers are used as replacements for names.

Step2: Analyze statistical meaning

Calculating range, variance, and standard - deviation for nominal data has no real meaning as these numbers do not have numerical significance in the context of quantity.

Answer:

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