Question

In: Statistics and Probability

Below are the jersey numbers of 11 players randomly selected from a football team. Find the​...

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?

49 6 43 67 66 34 88 95 97 90 5549   6   43   67   66   34   88   95   97   90   55

  

Range equals=

​(Round to one decimal place as​ needed.)Sample standard

deviation equals=nothing

​(Round to one decimal place as​ needed.

Solutions

Expert Solution

Ans:

minimum=6

maximum=97

Range=97-6=91

xi (xi-62.727)^2
1 49 188.438
2 6 3217.983
3 43 389.165
4 67 18.256
5 66 10.711
6 34 825.256
7 88 638.711
8 95 1041.529
9 97 1174.620
10 90 743.802
11 55 59.711
Total 690 8308.182
mean 62.72727

sample variance=8308.182/(11-1)=830.8

sample standard deviation=sqrt(830.818)=28.8


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