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?

12 15 8 16 6 34 19 68 49 54 27

Range= "?"

Sample standard deviation= "?"

Sample variance = "?"

________________________________

What do the results tell us?

A. Jersey numbers on a football team do not vary as much as expected.

B. Jersey numbers on a football team vary much more than expected.

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

D. The sample standard deviation is too large in comparison to the range.

Answer 1

The given data is,

{12 15 8 16 6 34 19 68 49 54 27}

where,

Therfore,

Therfore,

Range = 62

Standard deviation = 20.7075

Sample Variance = 428.8

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