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Practice with Standard Deviation
Show your work or explain your thinking. There may be a few different methods that work.
1. Suppose a class was split into two teams of fourteen students for a fingersnapping contest. (Note: the two teams are considered two populations.) Find the mean for each team.
Red Team  Blue Team  

Data Value  Deviation  Deviation^{2}  Data Value  Deviation  Deviation^{2}  
50  50  
42  54  
30  50  
43  50  
41  43  
40  44  
44  59  
36  53  
45  49  
40  40  
42  10  
35  28  
41  45  
38  48 
2. Find the standard deviation for each team.
3. Which group had the higher mean?
4. Which group was more consistent at fingersnapping?
5. What conclusions can you arrive at if the standard deviation for the number of finger snaps for an entire group is zero?
6. One student answered that the only way that can happen is if everyone in the group had zero finger snaps. Is that student correct? Explain why or why not.
These problems are not graded. They are only to help you practice with our math topics. Do not rush to look at answers! First ask for hints from your instructor or classmates. But if you are really ready, the answers are here.