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Asked Dec 28, 2019
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Critical Thinking. For Exercises 5–20, watch out for these little buggers. Each of these exercises involves some feature that is somewhat tricky. Find the (a) mean, (b) median, (c)  mode, (d) midrange, and then answer the given question.

Football Player Numbers Listed below are the jersey numbers of 11 players randomly selected from the roster of the Seattle Seahawks when they won Super Bowl XLVIII. What do the results tell us?

19 82 60
89 91 55 7
20
99
25
81
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19 82 60 89 91 55 7 20 99 25 81

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Expert Answer

Step 1

The data shows the jersey numbers of 11 players from the roaster of the Seattle Seahawks when they won Super Bowl XLVIII.

Mean for the jersey numbers of 11 players is,

Statistics homework question answer, step 1, image 1
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Step 2

Arrange the data in the ascending order.

7, 19, 20, 25, 55, 60, 81, 82, 89, 91, 99

The sample size is 11. That is, odd.

Then, the median is the middle value. That is, 60.

The mode is the most repeated value in the data set.

From the given data set, there are no repeated values.

Thus, there is no mode.

Step 3

Midrange for the jersey numbers of 11 players is,

The midrange is calculated as ...

Statistics homework question answer, step 3, image 1
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