Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then

Question

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell us? 68 97 72 14 89 42 23 2 38 75 37 a. Find the mearn The mean is (Type an integer or a decimal rounded to one decimal place as needed.) b. Find the median. The median is (Type an integer or a decimal rounded to one decimal place as needed.) c. Find the mode Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The mode(s) is(are) (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) 0 B. There is no mode d. Find the midrange The midrange is (Type an integer or a decimal rounded to one decimal place as needed.) e. What do the results tell us? ( A. Since only 1 1 of the jersey numbers were in the sample, the statistics cannot give any meaningful results B. The midrange gives the average or typical jersey number, while the mean and median give two different interpretations of the spread of possible jersey ° C. The mean and median give two different interpretations of the average or typical jersey number, while the midrange shows the spread of possible jersey 0 D. The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless numbers numbers

Explanation / Answer

The statistical software output for this problem is:

Summary statistics:

Hence,

a) Mean = 50.6

b) Median = 42

c) Option B is correct.

d) Midrange = (Min + Max)/2 = (2 + 97)/2 = 99/2 = 49.5

e) Option D is correct.

Column Mean Median Mode Min Max Data 50.636364 42 No mode 2 97

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