In: Statistics and Probability
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.
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