students on the baseball team and in the French club were asked how many pets they have. The results are shown.
Baseball team: 0,0,0,1,1,1,1,1,2,2,2,3,3,3,4
French club: 0,0,1,1,1,2,2,2,2,3,3,3,3,4,6
what is the difference of the means of the two sets of data?
a 0.6
b 1
c 1.9
d 2
To find the difference of the means, we first need to find the mean of each set of data.
For the baseball team data:
Total number of pets = 0 + 0 + 0 + 1 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3 + 4 = 24
Number of students on the baseball team = 15
Mean of baseball team data = Total number of pets / Number of students on the baseball team
Mean of baseball team data = 24 / 15
Mean of baseball team data = 1.6
For the French club data:
Total number of pets = 0 + 0 + 1 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 6 = 31
Number of students in the French club = 15
Mean of French club data = Total number of pets / Number of students in the French club
Mean of French club data = 31 / 15
Mean of French club data = 2.07
The difference of the means = Mean of French club data - Mean of baseball team data
Difference of the means = 2.07 - 1.6
Difference of the means = 0.47
Therefore, the difference of the means of the two sets of data is 0.47, which is not one of the given options.