QUESTION IMAGE
Question
e. what do the results tell us?
a. the jersey numbers are nominal data and they do not
measure or count anything, so the resulting statistics are
meaningless.
b. the mean and median give two different interpretations of the
average (or typical) jersey number, while the midrange shows
the spread of possible jersey numbers.
c. the midrange gives the average (or typical) jersey number,
while the mean and median give two different interpretations
of the spread of possible jersey numbers.
d. since only 11 of the jersey numbers were in the sample, the
statistics cannot give any meaningful results.
Jersey numbers are nominal data (used for identification, not measurement/counting of a quantity). Calculating statistics like mean, median, midrange on nominal data is meaningless as these stats rely on numerical values having a quantitative meaning, which jersey numbers don't. Option B is wrong because mean/median don't interpret "average" jersey number meaningfully here. Option C misinterprets what midrange, mean, median do for nominal data. Option D is wrong as sample size isn't the issue—type of data (nominal) makes stats meaningless, not sample size. So A is correct.
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A. The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless.