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 1111 players randomly selected from the roster of a championship sports team. What do the results tell us? 2121 9999 1616 7777 8989 8686 6464 2626 1818 6666

(a) Mean = 52.1

(b) Median = 64

(c) There is no mode

(d) mid-range = 55

Explanation:

Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. Since one jersey number was missing, therefore, i have randomly added one jersey number into the list.

11 21 99 16 77 89 86 64 26 18 66

(a) Mean

The mean is given by

Mean = sum of the all jerseys numbers / total number of jerseys

Mean = (11+21+99+16+77+89+86+64+26+18+66) / 11

Mean = 573/11

Mean = 52.1

(b) Median

The median is calculated by first arranging the jersey numbers in ascending order

Then (n+1) / 2 gives the median value in the list.

(11 + 1) / 2 = 6th position is the median of the data.

11 16 18 21 26 64 66 77 86 89 99

The jersey number at 6th position is 64

Median = 64

(c) Mode

The mode is the most repeated number in the data set, since the jersey numbers are supposed to be distinct so no jersey number is repeated more than once therefore, we can say that the there is no mode.

(d) mid-range

The mid-range is found by

mid-range = (least jersey number + greatest jersey number) / 2

mid-range = (11 + 99) / 2

mid-range = 110/2

mid-range = 55

(e) What do the results tell us?

The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless. The jersey numbers are supposed to keep track of players and there is no statistical meaning behind these jersey numbers.