B.38Â Â
Average Size of a Performing Group in the Rock and Roll Hall ofFame
From its founding through 2015, the Rock and Roll Hall of Famehas inducted 303 groups or individuals, and 206 of the inducteeshave been performers while the rest have been related to the worldof music in some way other than as a performer. The full dataset isavailable at RockandRoll on StatKey. Some of the206 performer inductees have been solo artists while some aregroups with a large number of members. We are interested in theaverage number of members across all groups or individuals inductedas performers.
(a)Â Â
What is the mean size of the performer inductee groups(including individuals)? Use the correct notation with youranswer.
(b)Â Â
Use technology to create a graph of all 206 values. Describe theshape, and identify the two groups with the largest number ofpeople.
(c)Â Â
Use technology to generate a sampling distribution for the meansize of the group using samples of size n = 10. Give theshape and center of the sampling distribution and give the standarderror.
(d)Â Â
What does one dot on the sampling distribution represent?